public IPage120Problem7(bool onoff, bool complete) : base(onoff, complete) { problemName = "Book I Page 120 Problem 7"; Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 10, 0); points.Add(b); Point p = new Point("P", 5, 0); points.Add(p); Point d = new Point("D", 7, 8); points.Add(d); Point e = new Point("E", 3, 8); points.Add(e); // System.Diagnostics.Debug.Write(new Segment(q, r).FindIntersection(new Segment(p, s))); Segment ad = new Segment(a, d); segments.Add(ad); Segment be = new Segment(b, e); segments.Add(be); Segment ep = new Segment(e, p); segments.Add(ep); Segment dp = new Segment(d, p); segments.Add(dp); List<Point> pts = new List<Point>(); pts.Add(a); pts.Add(p); pts.Add(b); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new Midpoint((InMiddle)parser.Get(new InMiddle( p, (Segment)parser.Get(new Segment(a, b)))))); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(b, a, d)), (Angle)parser.Get(new Angle(a, b, e)))); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(e, p, a)), (Angle)parser.Get(new Angle(d, p, b)))); goals.Add(new GeometricCongruentTriangles(new Triangle(d, a, p), new Triangle(e, b, p))); goals.Add(new GeometricCongruentSegments(ad, be)); }
public Page1Col1Prob5(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", -3.5, 0); points.Add(a); Point b = new Point("B", 3.5, 0); points.Add(b); Point c = new Point("C", 0, -3.5 * System.Math.Sqrt(3)); points.Add(c); Point d = new Point("D", 0, 0); points.Add(d); Point e = new Point("E", -1.75, -3.5 * System.Math.Sqrt(3.0) / 2.0); points.Add(e); Point f = new Point("F", 1.75, -3.5 * System.Math.Sqrt(3.0) / 2.0); points.Add(f); //Segment ad = new Segment(a, d); segments.Add(ad); //Segment bd = new Segment(b, d); segments.Add(bd); //Segment ce = new Segment(c, e); segments.Add(ce); circles.Add(new Circle(a, 3.5)); circles.Add(new Circle(b, 3.5)); circles.Add(new Circle(c, 3.5)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(a, d)), (Segment)parser.Get(new Segment(b, d)))); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(a, d)), (Segment)parser.Get(new Segment(e, c)))); known.AddSegmentLength(new Segment(a, d), 3.5); goalRegions.Add(parser.implied.GetAtomicRegionByPoint(new Point("", 0, -1))); SetSolutionArea(1.975367389); problemName = "Class X Page 1 Col 1 Problem 5"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
// // Polygons only. // public Page199(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 5, 0); points.Add(b); Point c = new Point("C", 13, 0); points.Add(c); Point d = new Point("D", 13, 8); points.Add(d); Point e = new Point("E", 5, 8); points.Add(e); Point f = new Point("F", 5, 5); points.Add(f); Point g = new Point("G", 0, 5); points.Add(g); // Point h = new Point("H", 0, 3); points.Add(h); Segment ag = new Segment(a, g); segments.Add(ag); Segment fg = new Segment(f, g); segments.Add(fg); Segment af = new Segment(a, f); segments.Add(af); Segment fd = new Segment(f, d); segments.Add(fd); Segment ad = new Segment(a, d); segments.Add(ad); Segment de = new Segment(d, e); segments.Add(de); Segment cd = new Segment(c, d); segments.Add(cd); List<Point> pts = new List<Point>(); pts.Add(a); pts.Add(b); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(b); pts.Add(f); pts.Add(e); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); Quadrilateral abfg = (Quadrilateral)parser.Get(new Quadrilateral(ag, (Segment)parser.Get(new Segment(b, f)), fg, (Segment)parser.Get(new Segment(a, b)))); given.Add(new Strengthened(abfg, new Square(abfg))); Quadrilateral bcde = (Quadrilateral)parser.Get(new Quadrilateral((Segment)parser.Get(new Segment(b, e)), cd, de, (Segment)parser.Get(new Segment(b, c)))); given.Add(new Strengthened(bcde, new Square(bcde))); known.AddSegmentLength(de, 8); known.AddSegmentLength(ag, 5); List<Point> wanted = new List<Point>(); wanted.Add(new Point("", 4.9, 4.9)); wanted.Add(new Point("", 5.1, 4.9)); wanted.Add(new Point("", 5.5, 5.1)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(12.5); problemName = "Singapore Problem Page 199"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public BasicPolygonTester(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", -2, 0); points.Add(a); Point b = new Point("B", 0, 6); points.Add(b); Point c = new Point("C", 2, 0); points.Add(c); Point d = new Point("D", 3, -1); points.Add(d); Point e = new Point("E", 1, 3); points.Add(e); Point f = new Point("F", 0, 0); points.Add(f); Segment ab = new Segment(a, b); segments.Add(ab); Segment bc = new Segment(b, c); segments.Add(bc); Segment ca = new Segment(c, a); segments.Add(ca); Segment de = new Segment(d, e); segments.Add(de); Segment ef = new Segment(e, f); segments.Add(ef); Segment fd = new Segment(f, d); segments.Add(fd); Segment cd = new Segment(c, d); segments.Add(cd); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); // The goal is the entire area of the figure. goalRegions = new List<GeometryTutorLib.Area_Based_Analyses.Atomizer.AtomicRegion>(parser.implied.atomicRegions); }
public Page145Problem04(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 145 Problem 4"; Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 5, 0); points.Add(b); Point d = new Point("D", 1, 4); points.Add(d); Point c = new Point("C", 6, 4); points.Add(c); Point l = new Point("L", 2, 3); points.Add(l); Point m = new Point("M", 4, 1); points.Add(m); Segment ab = new Segment(a, b); segments.Add(ab); Segment cd = new Segment(c, d); segments.Add(cd); Segment ad = new Segment(a, d); segments.Add(ad); Segment bc = new Segment(b, c); segments.Add(bc); Segment al = new Segment(a, l); segments.Add(al); Segment cm = new Segment(c, m); segments.Add(cm); List<Point> pts = new List<Point>(); pts.Add(d); pts.Add(l); pts.Add(m); pts.Add(b); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(ab, cd)); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(c, d, l)), (Angle)parser.Get(new Angle(m, b, a)))); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(d, a, l)), (Angle)parser.Get(new Angle(m, c, b)))); goals.Add(new GeometricCongruentSegments(al, cm)); }
public Page3Prob23(bool onoff, bool complete) : base(onoff, complete) { Point q = new Point("Q", -2, 0); points.Add(q); Point p = new Point("P", 2, 0); points.Add(p); Point o = new Point("O", 0, 0); points.Add(o); List<Point> pts = new List<Point>(); pts.Add(q); pts.Add(o); pts.Add(p); collinear.Add(new Collinear(pts)); circles.Add(new Circle(o, 4)); circles.Add(new Circle(p, 2)); circles.Add(new Circle(q, 2)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength((Segment)parser.Get(new Segment(o, q)), 2); known.AddSegmentLength((Segment)parser.Get(new Segment(p, o)), 2); List<Point> wanted = new List<Point>(); wanted.Add(new Point("", 0, -3)); wanted.Add(new Point("", -2, -1)); wanted.Add(new Point("", -2, 1)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(8 * System.Math.PI); problemName = "Jurgensen Page 3 Problem 23"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page146Problem17(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 146 Problem 17"; Point d = new Point("D", 2, 3); points.Add(d); Point b = new Point("B", 10, 0); points.Add(b); Point a = new Point("A", 0, 0); points.Add(a); Point c = new Point("C", 8, 3); points.Add(c); Point m = new Point("M", 5, 0); points.Add(m); Segment bc = new Segment(b, c); segments.Add(bc); Segment ad = new Segment(a, d); segments.Add(ad); Segment cd = new Segment(c, d); segments.Add(cd); Segment bd = new Segment(b, d); segments.Add(bd); Segment ac = new Segment(a, c); segments.Add(ac); Segment dm = new Segment(d, m); segments.Add(dm); Segment cm = new Segment(c, m); segments.Add(cm); List<Point> pts = new List<Point>(); pts.Add(a); pts.Add(m); pts.Add(b); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(a, m)), (Segment)parser.Get(new Segment(b, m)))); given.Add(new GeometricCongruentSegments(ad, bc)); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(m, d, c)), (Angle)parser.Get(new Angle(m, c, d)))); }
public JPage153Problem09(bool onoff, bool complete) : base(onoff, complete) { problemName = "Book J Page 153 Problem 9"; Point a = new Point("A", 2, 3); points.Add(a); Point b = new Point("B", 0, 0); points.Add(b); Point c = new Point("C", 5, 0); points.Add(c); Point d = new Point("D", 2.5, 0); points.Add(d); Segment ab = new Segment(a, b); segments.Add(ab); Segment ad = new Segment(a, d); segments.Add(ad); Segment ac = new Segment(a, c); segments.Add(ac); List<Point> pts = new List<Point>(); pts.Add(b); pts.Add(d); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); // given.Add(new GeometricProportionalSegments((Segment)parser.Get(new Segment(b, d)), (Segment)parser.Get(new Segment(c, d)))); // given.Add(new GeometricProportionalSegments(ab, ac)); }
public IPage119Problem3(bool onoff, bool complete) : base(onoff, complete) { problemName = "I Page 119 Problem 3"; Point a = new Point("A", 4, 0); points.Add(a); Point b = new Point("B", 4, 10); points.Add(b); Point c = new Point("C", 8, 10); points.Add(c); Point d = new Point("D", 0, 0); points.Add(d); Point o = new Point("O", 4, 5); points.Add(o); Segment ad = new Segment(a, d); segments.Add(ad); Segment bc = new Segment(b, c); segments.Add(bc); List<Point> pts = new List<Point>(); pts.Add(d); pts.Add(o); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(b); pts.Add(o); pts.Add(a); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(ad, bc)); given.Add(new Perpendicular(parser.GetIntersection(ad, new Segment(a, b)))); given.Add(new Perpendicular(parser.GetIntersection(bc, new Segment(a, b)))); goals.Add(new SegmentBisector(parser.GetIntersection((Segment)parser.Get(new Segment(c, d)), (Segment)parser.Get(new Segment(a, b))), (Segment)parser.Get(new Segment(c, d)))); }
public Page229Problem05(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 229 Problem 05"; Point a = new Point("A", 13.0 / 2.0, 3.0); points.Add(a); Point b = new Point("B", 0, 3); points.Add(b); Point c = new Point("C", 2, 0); points.Add(c); Point e = new Point("E", 13.0 / 3.0, 3); points.Add(e); Point f = new Point("F", 5, 2); points.Add(f); Segment bc = new Segment(c, b); segments.Add(bc); Segment ef = new Segment(e, f); segments.Add(ef); List<Point> pts = new List<Point>(); pts.Add(a); pts.Add(f); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(b); pts.Add(e); pts.Add(a); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); }
public Page164Problem36(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 164 Problem 36"; Point a = new Point("A", 11, 8); points.Add(a); Point b = new Point("B", 10, 8); points.Add(b); Point c = new Point("C", 10, 11); points.Add(c); Point d = new Point("D", 0, 8); points.Add(d); Point e = new Point("E", 0, 0); points.Add(e); Point f = new Point("F", 10, 0); points.Add(f); Segment de = new Segment(d, e); segments.Add(de); Segment ef = new Segment(e, f); segments.Add(ef); List<Point> pts = new List<Point>(); pts.Add(f); pts.Add(b); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(d); pts.Add(b); pts.Add(a); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(b, d, e)), (Angle)parser.Get(new Angle(c, b, d)))); goals.Add(new GeometricParallel(de, new Segment(f, c))); }
//Demonstrates: If a quad is inscribed in a circle, then its opposite angles are supplementary public Page312Corollary2(bool onoff, bool complete) : base(onoff, complete) { Point o = new Point("O", 0, 0); points.Add(o); //Points and segments for an inscribed rectangle Point r = new Point("R", -3, 4); points.Add(r); Point s = new Point("S", 3, 4); points.Add(s); Point t = new Point("T", 3, -4); points.Add(t); Point u = new Point("U", -3, -4); points.Add(u); Segment rs = new Segment(r, s); segments.Add(rs); Segment st = new Segment(s, t); segments.Add(st); Segment tu = new Segment(t, u); segments.Add(tu); Segment ur = new Segment(u, r); segments.Add(ur); Circle c = new Circle(o, 5.0); circles.Add(c); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); Angle angle1 = (Angle)parser.Get(new Angle(r, s, t)); Angle angle2 = (Angle)parser.Get(new Angle(u, r, s)); Angle angle3 = (Angle)parser.Get(new Angle(s, t, u)); given.Add(new Strengthened(angle1, new RightAngle(angle1))); given.Add(new GeometricCongruentAngles(angle2, angle3)); Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(ur, st, rs, tu)); goals.Add(new Strengthened(quad, new Rectangle(quad))); }
public Page144Problem02(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 144 Problem 2"; Point a = new Point("A", 0, 20); points.Add(a); Point b = new Point("B", 5, 32); points.Add(b); Point c = new Point("C", 45, 20); points.Add(c); Point d = new Point("D", 40, 8); points.Add(d); Point e = new Point("E", 5, 20); points.Add(e); Point f = new Point("F", 40, 20); points.Add(f); Segment ab = new Segment(a, b); segments.Add(ab); Segment ad = new Segment(a, d); segments.Add(ad); Segment bc = new Segment(b, c); segments.Add(bc); Segment be = new Segment(b, e); segments.Add(be); Segment cd = new Segment(c, d); segments.Add(cd); Segment df = new Segment(d, f); segments.Add(df); List<Point> pts = new List<Point>(); pts.Add(a); pts.Add(e); pts.Add(f); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments((Segment)parser.Get(ab), (Segment)parser.Get(cd))); given.Add(new GeometricCongruentSegments((Segment)parser.Get(ad), (Segment)parser.Get(bc))); given.Add(new RightAngle(a, e, b)); given.Add(new RightAngle(c, f, d)); goals.Add(new GeometricCongruentSegments(be, df)); }
public TwoCircleInteriorTangent(bool onoff, bool complete) : base(onoff, complete) { Point x = new Point("X", 5, 0); points.Add(x); Point y = new Point("Y", 10, 0); points.Add(y); Point a = new Point("A", 0, 0); points.Add(a); List<Point> pts = new List<Point>(); pts.Add(a); pts.Add(x); pts.Add(y); collinear.Add(new Collinear(pts)); circles.Add(new Circle(x, 5.0)); circles.Add(new Circle(y, 10.0)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength((Segment)parser.Get(new Segment(a, y)), 10); List<Point> wanted = new List<Point>(); wanted.Add(new Point("", 10, 1)); wanted.Add(new Point("", 10, -1)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(75 * System.Math.PI); problemName = "ACT Practice Problem 1"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page242Problem21(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 242 Problem 21"; Point t = new Point("T", 0, 0); points.Add(t); Point s = new Point("S", 6, 8); points.Add(s); Point o = new Point("O", 9, 12); points.Add(o); Point v = new Point("V", 13, 8); points.Add(v); Point w = new Point("W", 21, 0); points.Add(w); Segment tw = new Segment(t, w); segments.Add(tw); Segment sv = new Segment(s, v); segments.Add(sv); List<Point> pts = new List<Point>(); pts.Add(t); pts.Add(s); pts.Add(o); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(o); pts.Add(v); pts.Add(w); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricParallel((Segment)parser.Get(tw), (Segment)parser.Get(sv))); }
public Page156Problem36(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 156 Problem 36"; Point j = new Point("J", 0, 10); points.Add(j); Point k = new Point("K", 10, 10); points.Add(k); Point l = new Point("L", 20, 10); points.Add(l); Point m = new Point("M", 5, 0); points.Add(m); Point n = new Point("N", 15, 0); points.Add(n); Segment jm = new Segment(j, m); segments.Add(jm); Segment km = new Segment(k, m); segments.Add(km); Segment kn = new Segment(k, n); segments.Add(kn); Segment ln = new Segment(l, n); segments.Add(ln); List<Point> pts = new List<Point>(); pts.Add(j); pts.Add(k); pts.Add(l); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(m, j, k)), (Angle)parser.Get(new Angle(m, k, j)))); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(n, k, l)), (Angle)parser.Get(new Angle(n, l, k)))); given.Add(new GeometricParallel(jm, kn)); goals.Add(new GeometricParallel(km, ln)); }
public Page146Problem13(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 146 Problem 13"; Point g = new Point("G", 0, 0); points.Add(g); Point d = new Point("D", 3, 2); points.Add(d); Point e = new Point("E", 7, 0); points.Add(e); Point h = new Point("H", 2, 0); points.Add(h); Point k = new Point("K", 5, 0); points.Add(k); Point f = new Point("F", 4, -2); points.Add(f); Segment dg = new Segment(d, g); segments.Add(dg); Segment de = new Segment(d, e); segments.Add(de); Segment dh = new Segment(d, h); segments.Add(dh); Segment fg = new Segment(f, g); segments.Add(fg); Segment fk = new Segment(f, k); segments.Add(fk); Segment ef = new Segment(e, f); segments.Add(ef); List<Point> pts = new List<Point>(); pts.Add(g); pts.Add(h); pts.Add(k); pts.Add(e); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(de, fg)); given.Add(new GeometricCongruentSegments(dg, ef)); given.Add(new Strengthened((Angle)parser.Get(new Angle(h, d, e)), new RightAngle(h, d, e))); given.Add(new Strengthened((Angle)parser.Get(new Angle(k, f, g)), new RightAngle(k, f, g))); goals.Add(new GeometricCongruentSegments(dh, fk)); }
public Page243Problem15(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 243 Problem 15"; Point d = new Point("D", 4, 24); points.Add(d); Point f = new Point("F", 3, 18); points.Add(f); Point h = new Point("H", 1, 6); points.Add(h); Point e = new Point("E", 5, 24); points.Add(e); Point g = new Point("G", 8, 18); points.Add(g); Point j = new Point("J", 14, 6); points.Add(j); Segment de = new Segment(d, e); segments.Add(de); Segment fg = new Segment(f, g); segments.Add(fg); Segment hj = new Segment(h, j); segments.Add(hj); List<Point> pts = new List<Point>(); pts.Add(d); pts.Add(f); pts.Add(h); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(e); pts.Add(g); pts.Add(j); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricParallel((Segment)parser.Get(de), (Segment)parser.Get(fg))); given.Add(new GeometricParallel((Segment)parser.Get(hj), (Segment)parser.Get(fg))); }
public Page242Problem17(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 242 Problem 17"; Point a = new Point("A", 1, 5); points.Add(a); Point b = new Point("B", 5, 5); points.Add(b); Point c = new Point("C", 0, 0); points.Add(c); Point d = new Point("D", 6, 0); points.Add(d); Point n = new Point("N", 3, 3); points.Add(n); Segment ab = new Segment(a, b); segments.Add(ab); Segment cd = new Segment(c, d); segments.Add(cd); List<Point> pts = new List<Point>(); pts.Add(c); pts.Add(n); pts.Add(b); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(a); pts.Add(n); pts.Add(d); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(c, b, a)), (Angle)parser.Get(new Angle(a, d, c)))); goals.Add(new GeometricSimilarTriangles(new Triangle(n, c, d), new Triangle(n, a, b))); }
public Page1Col2Prob1(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 0, -35); points.Add(a); Point b = new Point("B", 35, 0); points.Add(b); Point o = new Point("O", 0, 0); points.Add(o); Point p = new Point("P", 0, 35); points.Add(p); Segment ob = new Segment(o, b); segments.Add(ob); Segment oa = new Segment(o, a); segments.Add(oa); Segment ab = new Segment(a, b); segments.Add(ab); circles.Add(new Circle(o, 35.0)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new RightAngle((Angle)parser.Get(new Angle(a, o, b)))); known.AddSegmentLength(ob, 35); goalRegions.AddRange(parser.implied.GetAllAtomicRegionsWithoutPoint(new Point("", 24.7, -24.7))); SetSolutionArea(3498.83825); problemName = "Class X Page 1 Col 2 Problem 1"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page145Problem07(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 145 Problem 7"; Point f = new Point("F", 0, 5); points.Add(f); Point l = new Point("L", 4, 7); points.Add(l); Point k = new Point("K", 4, 3); points.Add(k); Point a = new Point("A", 5, 5); points.Add(a); Point j = new Point("J", 3, 5); points.Add(j); Segment fl = new Segment(f, l); segments.Add(fl); Segment fk = new Segment(f, k); segments.Add(fk); Segment al = new Segment(a, l); segments.Add(al); Segment ak = new Segment(a, k); segments.Add(ak); Segment jl = new Segment(j, l); segments.Add(jl); Segment jk = new Segment(j, k); segments.Add(jk); List<Point> pts = new List<Point>(); pts.Add(f); pts.Add(j); pts.Add(a); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(al, ak)); given.Add(new GeometricCongruentSegments(fl, fk)); goals.Add(new GeometricCongruentSegments(jl, jk)); }
public IPage120Problem6(bool onoff, bool complete) : base(onoff, complete) { problemName = "Book I Page 120 Problem 6"; Point a = new Point("A", 2, 6); points.Add(a); Point b = new Point("B", 0, 0); points.Add(b); Point c = new Point("C", 10, 0); points.Add(c); Point d = new Point("D", 4, 0); points.Add(d); Point e = new Point("E", 12, 6); points.Add(e); Segment ab = new Segment(a, b); segments.Add(ab); Segment ad = new Segment(a, d); segments.Add(ad); Segment ac = new Segment(a, c); segments.Add(ac); Segment ae = new Segment(a, e); segments.Add(ae); Segment ec = new Segment(e, c); segments.Add(ec); Segment de = new Segment(d, e); segments.Add(de); List<Point> pts = new List<Point>(); pts.Add(b); pts.Add(d); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(ac, ae)); given.Add(new GeometricCongruentSegments(ab, ad)); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(b, a, d)), (Angle)parser.Get(new Angle(e, a, c)))); goals.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(b, c)), de)); }
public Page223Problem24(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 223 Problem 24"; Point b = new Point("B", 2, 4); points.Add(b); Point n = new Point("N", 8, 4); points.Add(n); Point l = new Point("L", 0, 0); points.Add(l); Point c = new Point("C", 10, 0); points.Add(c); Point m = new Point("M", 5, 2.5); points.Add(m); Segment cl = new Segment(c, l); segments.Add(cl); Segment bn = new Segment(b, n); segments.Add(bn); List<Point> pts = new List<Point>(); pts.Add(l); pts.Add(m); pts.Add(n); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(b); pts.Add(m); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(m, b, n)), (Angle)parser.Get(new Angle(m, c, l)))); }
public Page23Theorem11(bool onoff, bool complete) : base(onoff, complete) { problemName = "Midpoint Theorem"; Point a = new Point("A", -3, 0); points.Add(a); Point m = new Point("M", 0, 0); points.Add(m); Point b = new Point("B", 3, 0); points.Add(b); List<Point> pts = new List<Point>(); pts.Add(a); pts.Add(m); pts.Add(b); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new Midpoint((InMiddle)parser.Get(new InMiddle( m, (Segment)parser.Get(new Segment(a, b)))))); Multiplication product1 = new Multiplication(new NumericValue(2), (Segment)parser.Get(new Segment(a, m))); goals.Add(new GeometricSegmentEquation(product1, (Segment)parser.Get(new Segment(a, b)))); Multiplication product2 = new Multiplication(new NumericValue(2), (Segment)parser.Get(new Segment(m, b))); goals.Add(new GeometricSegmentEquation(product2, (Segment)parser.Get(new Segment(a, b)))); }
public Page6Row3Prob32c(bool onoff, bool complete) : base(onoff, complete) { Point r = new Point("R", -8 * System.Math.Sin(0.3 * System.Math.PI), 8 * System.Math.Cos(0.3 * System.Math.PI)); points.Add(r); Point p = new Point("P", 0, 0); points.Add(p); Point s = new Point("S", 8 * System.Math.Sin(0.3 * System.Math.PI), 8 * System.Math.Cos(0.3 * System.Math.PI)); points.Add(s); Point q = new Point("Q", 0, -4); points.Add(q); Segment rp = new Segment(r, p); segments.Add(rp); Segment ps = new Segment(p, s); segments.Add(ps); Segment pq = new Segment(p, q); segments.Add(pq); circles.Add(new Circle(p, 8)); circles.Add(new Circle(q, 4)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength(pq, 4); known.AddAngleMeasureDegree((Angle)parser.Get(new Angle(r, p, s)), 108); List<Point> wanted = new List<Point>(); wanted.Add(new Point("", 7, 0)); wanted.Add(new Point("", -7, 0)); wanted.Add(new Point("", -2, 1)); wanted.Add(new Point("", 2, 1)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(28.8 * System.Math.PI); problemName = "McDougall Page 6 Row 3 Problem 32c"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page147Problem21(bool onoff, bool complete) : base(onoff, complete) { Point d = new Point("D", 6, 6); points.Add(d); Point b = new Point("B", 9, 0); points.Add(b); Point a = new Point("A", 3, 0); points.Add(a); Point c = new Point("C", 11, 4); points.Add(c); Point e = new Point("E", 1, 4); points.Add(e); Segment ab = new Segment(a, b); segments.Add(ab); Segment ac = new Segment(a, c); segments.Add(ac); Segment ad = new Segment(a, d); segments.Add(ad); Segment ae = new Segment(a, e); segments.Add(ae); Segment bc = new Segment(b, c); segments.Add(bc); Segment bd = new Segment(b, d); segments.Add(bd); Segment be = new Segment(b, e); segments.Add(be); Segment cd = new Segment(c, d); segments.Add(cd); Segment ce = new Segment(c, e); segments.Add(ce); Segment de = new Segment(d, e); segments.Add(de); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments((Segment)parser.Get(ae), (Segment)parser.Get(bc))); given.Add(new GeometricCongruentSegments((Segment)parser.Get(ad), (Segment)parser.Get(bd))); }
public Page223Problem23(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 223 Problem 23"; Point j = new Point("J", 0, 0); points.Add(j); Point i = new Point("I", 3, 3); points.Add(i); Point y = new Point("Y", 7, 7); points.Add(y); Point g = new Point("G", 6, 0); points.Add(g); Point z = new Point("Z", 7, 0); points.Add(z); Segment ig = new Segment(i, g); segments.Add(ig); Segment yz = new Segment(y, z); segments.Add(yz); List<Point> pts = new List<Point>(); pts.Add(j); pts.Add(i); pts.Add(y); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(j); pts.Add(g); pts.Add(z); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(j, g, i)), (Angle)parser.Get(new Angle(j, y, z)))); goals.Add(new GeometricSimilarTriangles((Triangle)parser.Get(new Triangle(j, i, g)), (Triangle)parser.Get(new Triangle(j, z, y)))); }
public Page226Problem42(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 226 Problem 42"; Point j = new Point("J", 0, 0); points.Add(j); Point k = new Point("K", 0, 12); points.Add(k); Point l = new Point("L", 3, 2); points.Add(l); Point m = new Point("M", 3, 10); points.Add(m); Point n = new Point("N", 9, 6); points.Add(n); Segment jk = new Segment(j, k); segments.Add(jk); Segment lm = new Segment(l, m); segments.Add(lm); List<Point> pts = new List<Point>(); pts.Add(j); pts.Add(l); pts.Add(n); collinear.Add(new Collinear(pts)); pts = new List<Point>(); pts.Add(k); pts.Add(m); pts.Add(n); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new IsoscelesTriangle((Segment)parser.Get(new Segment(k, n)), (Segment)parser.Get(new Segment(j, n)), jk)); given.Add(new GeometricParallel(jk, lm)); goals.Add(new Strengthened((Triangle)parser.Get(new Triangle(n, m, l)), new IsoscelesTriangle((Triangle)parser.Get(new Triangle(n, m, l))))); }
public Page69Problem14(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 69 Problem 14"; Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 7, -6); points.Add(b); Point c = new Point("C", 14, 0); points.Add(c); Point d = new Point("D", 7, 0); points.Add(d); Segment ba = new Segment(b, a); segments.Add(ba); Segment bc = new Segment(b, c); segments.Add(bc); Segment bd = new Segment(b, d); segments.Add(bd); List<Point> pts = new List<Point>(); pts.Add(a); pts.Add(d); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(ba, bc)); given.Add(new Midpoint((InMiddle)parser.Get(new InMiddle(d, (Segment)parser.Get(new Segment(a, c)))))); goals.Add(new GeometricCongruentTriangles(new Triangle(a, b, d), new Triangle(c, b, d))); }
public Page6Row5Prob4(bool onoff, bool complete) : base(onoff, complete) { Point o = new Point("O", 0, 0); points.Add(o); Point a = new Point("A", 0, 11); points.Add(a); Point b = new Point("B", 0, -33); points.Add(b); List<Point> pnts = new List<Point>(); pnts.Add(a); pnts.Add(o); pnts.Add(b); collinear.Add(new Collinear(pnts)); circles.Add(new Circle(o, 11)); circles.Add(new Circle(o, 33)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength((Segment)parser.Get(new Segment(a, o)), 11); known.AddSegmentLength((Segment)parser.Get(new Segment(o, b)), 33); List<Point> wanted = new List<Point>(); wanted.Add(new Point("", 20, 1)); wanted.Add(new Point("", -20, 1)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(968 * System.Math.PI); problemName = "McDougall Page 6 Row 5 Problem 4"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public RightRight(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 0, 24); points.Add(b); Point c = new Point("C", 0, 48); points.Add(c); Point d = new Point("D", 48, 0); points.Add(d); Point e = new Point("E", 24, 0); points.Add(e); Segment cd = new Segment(c, d); segments.Add(cd); Segment be = new Segment(b, e); segments.Add(be); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(b); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(a); pts.Add(e); pts.Add(d); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new RightAngle(c, a, d)); given.Add(new Midpoint((InMiddle)parser.Get(new InMiddle(b, (Segment)parser.Get(new Segment(a, c)))))); given.Add(new Midpoint((InMiddle)parser.Get(new InMiddle(e, (Segment)parser.Get(new Segment(a, d)))))); known.AddSegmentLength((Segment)parser.Get(new Segment(a, c)), 48); known.AddSegmentLength((Segment)parser.Get(new Segment(a, d)), 48); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", 24, 23)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(864); problemName = "Right Triangle - Right Triangle Synthesis"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public MgProb8(bool onoff, bool complete) : base(onoff, complete) { double y = 4 * System.Math.Sqrt(3); Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 4, 4); points.Add(b); Point c = new Point("C", 4, 0); points.Add(c); Point m = new Point("M", 2, 2); points.Add(m); Segment ac = new Segment(a, c); segments.Add(ac); Segment bc = new Segment(b, c); segments.Add(bc); List <Point> pnts = new List <Point>(); pnts.Add(a); pnts.Add(m); pnts.Add(b); collinear.Add(new Collinear(pnts)); Circle circle1 = new Circle(m, System.Math.Sqrt(32) / 2.0); Circle circle2 = new Circle(c, 4); circles.Add(circle1); circles.Add(circle2); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); Angle a1 = (Angle)parser.Get(new Angle(a, c, b)); given.Add(new Strengthened(a1, new RightAngle(a1))); known.AddSegmentLength(ac, 4); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", 2, 4)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(8); problemName = "Magoosh Problem 8"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
// Geometry; Page 178 Self Test 07 // CURRENTLY NOT WORKING // Given that a quad is a parallelogram with congruent diagonals, it should be possible to prove that the quad is also a rectangle // Right now, the missing step is the ability to prove that two angles are right angles if they are both supplementary and congruent // Once an angle is proved to be a right angle, the rectangle definiton instantiator can prove a parallelogram is a rectangle public Page178SelfTest07(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 178 Self Test Problem 7"; Point w = new Point("W", 0, 0); points.Add(w); Point x = new Point("X", 7, 0); points.Add(x); Point y = new Point("Y", 7, 5); points.Add(y); Point z = new Point("Z", 0, 5); points.Add(z); Point q = new Point("Q", 3.5, 2.5); points.Add(q); //rectangle sides Segment wx = new Segment(w, x); segments.Add(wx); Segment xy = new Segment(x, y); segments.Add(xy); Segment yz = new Segment(y, z); segments.Add(yz); Segment zw = new Segment(z, w); segments.Add(zw); List <Point> pts = new List <Point>(); pts.Add(z); pts.Add(q); pts.Add(x); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(w); pts.Add(q); pts.Add(y); collinear.Add(new Collinear(pts)); //rectangle diagonals // Segment wy = new Segment(w, y); segments.Add(wy); // Segment xz = new Segment(x, z); segments.Add(xz); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(wx, yz)); given.Add(new GeometricCongruentSegments(xy, zw)); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(w, y)), (Segment)parser.Get(new Segment(x, z)))); Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(zw, xy, yz, wx)); goals.Add(new Strengthened(quad, new Rectangle(quad))); }
// Simple demonstration of theorem "Median of a trapezoid is parallel to the bases" public Page174Theorem416_1(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 174 Theorem 4-16 Part 1"; Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 11, 0); points.Add(b); Point c = new Point("C", 7, 4); points.Add(c); Point d = new Point("D", 2, 4); points.Add(d); Point m = new Point("M", 1, 2); points.Add(m); Point n = new Point("N", 9, 2); points.Add(n); Segment ab = new Segment(a, b); segments.Add(ab); Segment cd = new Segment(c, d); segments.Add(cd); Segment mn = new Segment(m, n); segments.Add(mn); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(m); pts.Add(d); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(b); pts.Add(n); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); Segment ad = (Segment)parser.Get(new Segment(a, d)); Segment bc = (Segment)parser.Get(new Segment(b, c)); Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(ad, bc, cd, ab)); //given.Add(new Strengthened(quad, new Trapezoid(ad, bc, cd, ab))); given.Add(new Parallel(ab, cd)); given.Add(new SegmentBisector(parser.GetIntersection(mn, ad), mn)); given.Add(new SegmentBisector(parser.GetIntersection(mn, bc), mn)); goals.Add(new Parallel(mn, cd)); goals.Add(new Parallel(mn, ab)); }
public Page1Col1Prob1(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 10.54, 6.72); points.Add(a); Point b = new Point("B", 12.5, 0); points.Add(b); Point c = new Point("C", -12.5, 0); points.Add(c); Point d = new Point("D", 0, -12.5); points.Add(d); Point o = new Point("O", 0, 0); points.Add(o); Segment ac = new Segment(a, c); segments.Add(ac); Segment ab = new Segment(a, b); segments.Add(ab); Segment od = new Segment(o, d); segments.Add(od); List <Point> pts = new List <Point>(); pts.Add(c); pts.Add(o); pts.Add(b); collinear.Add(new Collinear(pts)); circles.Add(new Circle(o, 12.5)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new RightAngle((Angle)parser.Get(new Angle(b, o, d)))); known.AddSegmentLength(ac, 24); known.AddSegmentLength(ab, 7); //known.AddAngleMeasureDegree((Angle)parser.Get(new Angle(b, o, d)), 90); List <Point> unwanted = new List <Point>(); unwanted.Add(new Point("", 0, 1)); unwanted.Add(new Point("", 1, 0.1)); unwanted.Add(new Point("", 10, 0.1)); unwanted.Add(new Point("", -1, -1)); unwanted.Add(new Point("", -2, -12)); goalRegions = parser.implied.GetAllAtomicRegionsWithoutPoints(unwanted); SetSolutionArea(284.1553891); problemName = "Class X Page 1 Col 1 Problem 1"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public TwoIsoscelesTriangles(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 0, 4); points.Add(b); Point c = new Point("C", 4, 0); points.Add(c); Point d = new Point("D", 1, 0); points.Add(d); Point e = new Point("E", 1, 3); points.Add(e); Segment ab = new Segment(a, b); segments.Add(ab); Segment de = new Segment(d, e); segments.Add(de); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(d); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(b); pts.Add(e); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(ab, (Segment)parser.Get(new Segment(a, c)))); given.Add(new RightAngle(b, a, c)); given.Add(new RightAngle(e, d, c)); known.AddSegmentLength(ab, 4); known.AddSegmentLength((Segment)parser.Get(new Segment(c, d)), 3); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", 0.5, 1)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(3.5); problemName = "ACT Practice Problem 2"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public IPage120Problem8(bool onoff, bool complete) : base(onoff, complete) { problemName = "Overlapping Right Triangles"; Point a = new Point("A", 0, 3); points.Add(a); Point m = new Point("M", 2, 1.5); points.Add(m); Point b = new Point("B", 4, 3); points.Add(b); Point c = new Point("C", 4, 0); points.Add(c); Point d = new Point("D", 0, 0); points.Add(d); Segment ad = new Segment(a, d); segments.Add(ad); Segment bc = new Segment(b, c); segments.Add(bc); Segment cd = new Segment(c, d); segments.Add(cd); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(m); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(b); pts.Add(m); pts.Add(d); collinear.Add(new Collinear(pts)); // given.Add(new Midpoint(m, (Segment)parser.Get(new Segment(a, c)))); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(a, m)), (Segment)parser.Get(new Segment(m, c)))); given.Add(new Midpoint((InMiddle)parser.Get(new InMiddle(m, (Segment)parser.Get(new Segment(b, d)))))); given.Add(new RightAngle((Angle)parser.Get(new Angle(b, c, d)))); goals.Add(new GeometricCongruentTriangles(new Triangle(b, m, c), new Triangle(d, m, a))); goals.Add(new Strengthened((Angle)parser.Get(new Angle(a, d, c)), new RightAngle((Angle)parser.Get(new Angle(a, d, c))))); goals.Add(new GeometricCongruentTriangles(new Triangle(a, d, c), new Triangle(b, c, d))); Multiplication product = new Multiplication(new NumericValue(2), (Segment)parser.Get(new Segment(c, m))); goals.Add(new GeometricSegmentEquation(product, (Segment)parser.Get(new Segment(b, d)))); }
public WpfkProb6(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 100, 0); points.Add(b); Point c = new Point("C", 50, 0); points.Add(c); Point d = new Point("D", 0, 40); points.Add(d); Point e = new Point("E", 100, 40); points.Add(e); Segment ad = new Segment(a, d); segments.Add(ad); Segment de = new Segment(d, e); segments.Add(de); Segment eb = new Segment(e, b); segments.Add(eb); Segment dc = new Segment(d, c); segments.Add(dc); List <Point> pnts = new List <Point>(); pnts.Add(a); pnts.Add(c); pnts.Add(b); collinear.Add(new Collinear(pnts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(ad, eb, de, (Segment)parser.Get(new Segment(a, b)))); given.Add(new Strengthened(quad, new Rectangle(quad))); Intersection inter = (Intersection)parser.Get(new Intersection(c, (Segment)parser.Get(new Segment(a, b)), dc)); given.Add(new SegmentBisector(inter, dc)); known.AddSegmentLength(eb, 40); known.AddSegmentLength((Segment)parser.Get(new Segment(a, b)), 100); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", 1, 10)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(1000); problemName = "Word Problems For Kids - Grade 11 Prob 6"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page7Prob25(bool onoff, bool complete) : base(onoff, complete) { Point o = new Point("O", 0, 0); points.Add(o); Point a = new Point("A", 0, -3); points.Add(a); Point b = new Point("B", 0, 3); points.Add(b); Point c = new Point("C", 15, 3); points.Add(c); Segment bc = new Segment(b, c); segments.Add(bc); Segment ca = new Segment(c, a); segments.Add(ca); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(o); pts.Add(b); collinear.Add(new Collinear(pts)); circles.Add(new Circle(o, 3)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength((Segment)parser.Get(new Segment(a, b)), 6); known.AddSegmentLength(bc, 15); Angle angle = (Angle)parser.Get(new Angle(a, b, c)); given.Add(new Strengthened(angle, new RightAngle(angle))); List <Point> unwanted = new List <Point>(); unwanted.Add(new Point("", -2, 0)); unwanted.Add(new Point("", 2.068, -2.173)); goalRegions = parser.implied.GetAllAtomicRegionsWithoutPoints(unwanted); SetSolutionArea(45); problemName = "McDougall Page 7 Problem 25"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page144ClassroomExercise04(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 144 Classroom Ex 4"; Point d = new Point("D", 0, 12); points.Add(d); Point c = new Point("C", 9, 0); points.Add(c); Point p = new Point("P", 9, 12); points.Add(p); Point e = new Point("E", 14, 12); points.Add(e); Point q = new Point("Q", 19, 12); points.Add(q); Point g = new Point("G", 19, 24); points.Add(g); Point f = new Point("F", 28, 12); points.Add(f); Segment cd = new Segment(c, d); segments.Add(cd); Segment cp = new Segment(c, p); segments.Add(cp); Segment gq = new Segment(g, q); segments.Add(gq); Segment fg = new Segment(f, g); segments.Add(fg); List <Point> pts = new List <Point>(); pts.Add(c); pts.Add(e); pts.Add(g); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(d); pts.Add(p); pts.Add(e); pts.Add(q); pts.Add(f); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(cd, fg)); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(c, e)), (Segment)parser.Get(new Segment(e, g)))); given.Add(new RightAngle(c, p, e)); given.Add(new RightAngle(e, q, g)); goals.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(c, d, p)), (Angle)parser.Get(new Angle(q, f, g)))); }
public Page6Row3Prob32b(bool onoff, bool complete) : base(onoff, complete) { double x = 8 * System.Math.Cos(36 * System.Math.PI / 180); double y = 8 * System.Math.Sin(36 * System.Math.PI / 180); Point r = new Point("R", -x, y); points.Add(r); Point p = new Point("P", 0, 0); points.Add(p); Point s = new Point("S", x, y); points.Add(s); Point q = new Point("Q", 0, -4); points.Add(q); Segment rp = new Segment(r, p); segments.Add(rp); Segment ps = new Segment(p, s); segments.Add(ps); Segment pq = new Segment(p, q); segments.Add(pq); Circle outer = new Circle(p, 8); Circle inner = new Circle(q, 4); circles.Add(outer); circles.Add(inner); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); MinorArc m = (MinorArc)parser.Get(new MinorArc(outer, r, s)); known.AddSegmentLength(pq, 4); known.AddArcMeasureDegree(m, 108); given.Add(new GeometricArcEquation(m, new NumericValue(108))); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", -6, 0)); wanted.Add(new Point("", -2, 0)); wanted.Add(new Point("", 2, 0)); wanted.Add(new Point("", 6, 0)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(90.47786842); problemName = "McDougall Page 6 Row 3 Problem 32b"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page4Prob7(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 8, 0); points.Add(b); Point c = new Point("C", 8, -8); points.Add(c); Point d = new Point("D", 0, -8); points.Add(d); Point o = new Point("O", 4, -4); points.Add(o); Point x = new Point("X", 4, 0); points.Add(x); Segment ab = new Segment(a, b); segments.Add(ab); Segment bc = new Segment(b, c); segments.Add(bc); Segment cd = new Segment(c, d); segments.Add(cd); Segment ad = new Segment(a, d); segments.Add(ad); Segment ox = new Segment(o, x); segments.Add(ox); circles.Add(new Circle(o, 4.0)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(ad, bc, ab, cd)); given.Add(new Strengthened(quad, new Square(quad))); known.AddSegmentLength(ab, 8); known.AddSegmentLength(ox, 4); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", 7.9, -0.1)); wanted.Add(new Point("", 0.1, -0.1)); wanted.Add(new Point("", 7.9, -7.9)); wanted.Add(new Point("", 0.1, -7.9)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(64 - 16 * System.Math.PI); problemName = "Jurgensen Page 4 Problem 7"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page8Prob18(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", -5, 0); points.Add(a); Point b = new Point("B", -2.5, 2.5 * Math.Sqrt(3)); points.Add(b); Point c = new Point("C", 5, 0); points.Add(c); //Point d = new Point("D", 0, -5); points.Add(d); Point o = new Point("O", 0, 0); points.Add(o); Segment ab = new Segment(a, b); segments.Add(ab); Segment bc = new Segment(b, c); segments.Add(bc); //Segment ad = new Segment(a, d); segments.Add(ad); List <Point> pnts = new List <Point>(); pnts.Add(a); pnts.Add(o); pnts.Add(c); collinear.Add(new Collinear(pnts)); Circle circle = new Circle(o, 5); circles.Add(circle); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength(ab, 5); known.AddAngleMeasureDegree((Angle)parser.Get(new Angle(a, c, b)), 30); List <Point> unwanted = new List <Point>(); unwanted.Add(new Point("", -2, 1)); unwanted.Add(new Point("", -0.5, 0.5)); unwanted.Add(new Point("", 1, 1)); goalRegions = parser.implied.GetAllAtomicRegionsWithoutPoints(unwanted); SetSolutionArea((25) * Math.PI - (0.5 * 5 * Math.Sqrt(75))); problemName = "Glencoe Page 8 Problem 18"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page226Problem41(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 226 Problem 41"; Point a = new Point("A", -2, 0); points.Add(a); Point b = new Point("B", 8, 0); points.Add(b); Point c = new Point("C", -6, -4); points.Add(c); Point d = new Point("D", 9, -2); points.Add(d); Point q = new Point("Q", 3, 2); points.Add(q); Point r = new Point("R", 0, 0); points.Add(r); Point s = new Point("S", 6, 0); points.Add(s); Segment qr = new Segment(q, r); segments.Add(qr); Segment qs = new Segment(q, s); segments.Add(qs); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(r); pts.Add(s); pts.Add(b); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(c); pts.Add(r); pts.Add(q); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(d); pts.Add(s); pts.Add(q); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(a, r, q)), (Angle)parser.Get(new Angle(b, s, q)))); goals.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(q, r)), (Segment)parser.Get(new Segment(q, s)))); }
public Page145Problem03(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 145 Problem 3"; Point g = new Point("G", 0, 10); points.Add(g); Point r = new Point("R", 1, 12); points.Add(r); Point j = new Point("J", 1, 10); points.Add(j); Point a = new Point("A", 3, 10); points.Add(a); Point k = new Point("K", 5, 10); points.Add(k); Point n = new Point("N", 5, 8); points.Add(n); Point t = new Point("T", 6, 10); points.Add(t); Segment gr = new Segment(g, r); segments.Add(gr); Segment jr = new Segment(j, r); segments.Add(jr); Segment kn = new Segment(k, n); segments.Add(kn); Segment nt = new Segment(n, t); segments.Add(nt); List <Point> pts = new List <Point>(); pts.Add(g); pts.Add(j); pts.Add(a); pts.Add(k); pts.Add(t); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(r); pts.Add(a); pts.Add(n); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(g, j)), (Segment)parser.Get(new Segment(k, t)))); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(a, r)), (Segment)parser.Get(new Segment(a, n)))); given.Add(new RightAngle(r, j, a)); given.Add(new RightAngle(n, k, a)); goals.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(j, g, r)), (Angle)parser.Get(new Angle(n, t, k)))); }
public Page5Row3Prob4(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 5, 4); points.Add(b); Point c = new Point("C", 13, 0); points.Add(c); Point d = new Point("D", 5, -4); points.Add(d); Point o = new Point("O", 5, 0); points.Add(o); Segment ab = new Segment(a, b); segments.Add(ab); Segment bc = new Segment(b, c); segments.Add(bc); Segment cd = new Segment(c, d); segments.Add(cd); Segment ad = new Segment(a, d); segments.Add(ad); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(o); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(b); pts.Add(o); pts.Add(d); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(ab, ad)); given.Add(new GeometricCongruentSegments(bc, cd)); known.AddSegmentLength((Segment)parser.Get(new Segment(o, a)), 5); known.AddSegmentLength((Segment)parser.Get(new Segment(o, d)), 4); known.AddSegmentLength((Segment)parser.Get(new Segment(o, c)), 8); goalRegions = parser.implied.GetAllAtomicRegions(); SetSolutionArea(52); problemName = "McDougall Page 5 Row 3 Problem 4"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public TvPage4Prob38(bool onoff, bool complete) : base(onoff, complete) { Point o = new Point("O", 0, 0); points.Add(o); Point p = new Point("P", -2.3, 0); points.Add(p); Point q = new Point("Q", 0, 1); points.Add(q); Point r = new Point("R", 0, 2.3); points.Add(r); Segment po = new Segment(p, o); segments.Add(po); Segment pq = new Segment(p, q); segments.Add(pq); List <Point> pnts = new List <Point>(); pnts.Add(r); pnts.Add(q); pnts.Add(o); collinear.Add(new Collinear(pnts)); Circle circle = new Circle(o, 2.3); circles.Add(circle); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength((Segment)parser.Get(new Segment(o, q)), 1); known.AddSegmentLength(po, 2.3); Angle a1 = (Angle)parser.Get(new Angle(p, o, r)); given.Add(new Strengthened(a1, new RightAngle(a1))); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", -2, 0.4)); wanted.Add(new Point("", -0.5, 1.5)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea((5.29 / 4.0) * System.Math.PI - 1.15); problemName = "Tutor Vista Page 4 Problem 38"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page160Problem42(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 160 Problem 42"; Point a = new Point("A", -3, -1); points.Add(a); Point b = new Point("B", 0, 0); points.Add(b); Point c = new Point("C", 6, 2); points.Add(c); Point d = new Point("D", 1, -3); points.Add(d); Point x = new Point("X", -5, 5); points.Add(x); Point y = new Point("Y", -2, 6); points.Add(y); Point z = new Point("Z", 1, 7); points.Add(z); Point q = new Point("Q", -3, 9); points.Add(q); List <Point> pts = new List <Point>(); pts.Add(q); pts.Add(y); pts.Add(b); pts.Add(d); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(x); pts.Add(y); pts.Add(z); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(a); pts.Add(b); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricParallel((Segment)parser.Get(new Segment(a, c)), (Segment)parser.Get(new Segment(x, z)))); given.Add(new Perpendicular(parser.GetIntersection((Segment)parser.Get(new Segment(q, d)), (Segment)parser.Get(new Segment(x, z))))); goals.Add(new Supplementary((Angle)parser.Get(new Angle(c, b, y)), (Angle)parser.Get(new Angle(z, y, b)))); }
public Page1Col2Prob4(bool onoff, bool complete) : base(onoff, complete) { Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 14, 0); points.Add(b); Point x = new Point("X", 1.75, 0); points.Add(x); Point y = new Point("Y", 7, 0); points.Add(y); Point z = new Point("Z", 12.25, 0); points.Add(z); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(x); pts.Add(y); pts.Add(z); pts.Add(b); collinear.Add(new Collinear(pts)); circles.Add(new Circle(x, 1.75)); circles.Add(new Circle(y, 3.5)); circles.Add(new Circle(z, 1.75)); circles.Add(new Circle(y, 7)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength((Segment)parser.Get(new Segment(a, b)), 14); known.AddSegmentLength((Segment)parser.Get(new Segment(a, x)), 1.75); known.AddSegmentLength((Segment)parser.Get(new Segment(b, z)), 1.75); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", 7, 1)); wanted.Add(new Point("", 7, -1)); wanted.Add(new Point("", 7, 6)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(86.59014751); problemName = "Class X Page 1 Column 2 Problem 4"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page168Problem37(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 168 Problem 37"; Point a = new Point("A", 1, 1); points.Add(a); Point b = new Point("B", 6, 1); points.Add(b); Point c = new Point("C", 10, 1); points.Add(c); Point d = new Point("D", 1, 3); points.Add(d); Point e = new Point("E", 2, 3); points.Add(e); Point f = new Point("F", 10, 3); points.Add(f); Point g = new Point("G", 0, 4); points.Add(g); Point h = new Point("H", 8, 0); points.Add(h); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(b); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(d); pts.Add(e); pts.Add(f); collinear.Add(new Collinear(pts)); List <Point> pts3 = new List <Point>(); pts.Add(g); pts.Add(e); pts.Add(b); pts.Add(h); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new Supplementary((Angle)parser.Get(new Angle(d, e, b)), (Angle)parser.Get(new Angle(a, b, e)))); goals.Add(new GeometricParallel((Segment)parser.Get(new Segment(a, c)), (Segment)parser.Get(new Segment(d, f)))); }
public Page60Theorem22Extended(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 60 Theorem 22 Extended"; Point a = new Point("A", -1, 3); points.Add(a); Point b = new Point("B", 4, 3); points.Add(b); Point c = new Point("C", 0, 0); points.Add(c); Point d = new Point("D", 5, 0); points.Add(d); Point x = new Point("X", 2, 3); points.Add(x); Point y = new Point("Y", 1, 0); points.Add(y); Point p = new Point("P", 3, 6); points.Add(p); Point q = new Point("Q", 0, -3); points.Add(q); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(x); pts.Add(b); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(c); pts.Add(y); pts.Add(d); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(p); pts.Add(x); pts.Add(y); pts.Add(q); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricParallel((Segment)parser.Get(new Segment(a, b)), (Segment)parser.Get(new Segment(c, d)))); goals.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(a, x, y)), (Angle)parser.Get(new Angle(x, y, d)))); }
public Page6Row1Prob26(bool onoff, bool complete) : base(onoff, complete) { double r = 5 / System.Math.Sqrt(2); Point a = new Point("A", -r, 0); points.Add(a); Point b = new Point("B", 0, r); points.Add(b); Point c = new Point("C", r, 0); points.Add(c); Point o = new Point("O", 0, 0); points.Add(o); Segment bc = new Segment(b, c); segments.Add(bc); Segment ab = new Segment(a, b); segments.Add(ab); Segment bo = new Segment(b, o); segments.Add(bo); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(o); pts.Add(c); collinear.Add(new Collinear(pts)); circles.Add(new Circle(o, r)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); known.AddSegmentLength(bc, 5); Angle angle = (Angle)parser.Get(new Angle(b, o, a)); given.Add(new Strengthened(angle, new RightAngle(angle))); List <Point> wanted = new List <Point>(); wanted.Add(new Point("", -2, 2)); wanted.Add(new Point("", 2, 2)); wanted.Add(new Point("", 0, -2)); goalRegions = parser.implied.GetAtomicRegionsByPoints(wanted); SetSolutionArea(12.5 * System.Math.PI - 12.5); problemName = "McDougall Page 6 Row 1 Problem 26"; GeometryTutorLib.EngineUIBridge.HardCodedProblemsToUI.AddProblem(problemName, points, circles, segments); }
public Page41Problem15(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 41 Problem 15"; Point a = new Point("A", 1, -1); points.Add(a); Point b = new Point("B", 3, 1); points.Add(b); Point c = new Point("C", 5, 1); points.Add(c); Point d = new Point("D", 7, -1); points.Add(d); Point w = new Point("W", 0, 0); points.Add(w); Point x = new Point("X", 2, 0); points.Add(x); Point y = new Point("Y", 6, 0); points.Add(y); Point z = new Point("Z", 11, 0); points.Add(z); List <Point> pts = new List <Point>(); pts.Add(w); pts.Add(x); pts.Add(y); pts.Add(z); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(a); pts.Add(x); pts.Add(b); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(c); pts.Add(y); pts.Add(d); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(b, x, y)), (Angle)parser.Get(new Angle(c, y, x)))); goals.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(a, x, w)), (Angle)parser.Get(new Angle(d, y, z)))); }
public Page48Problem23To31(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 48 Problem 23-31"; Point a = new Point("A", 0, 5); points.Add(a); Point b = new Point("B", 2, 4); points.Add(b); Point c = new Point("C", 4, 3); points.Add(c); Point m = new Point("M", 3, 6); points.Add(m); Point x = new Point("X", -2, 1); points.Add(x); Point y = new Point("Y", 0, 0); points.Add(y); Point z = new Point("Z", 2, -1); points.Add(z); Point q = new Point("Q", -1, -2); points.Add(q); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(b); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(x); pts.Add(y); pts.Add(z); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(q); pts.Add(y); pts.Add(b); pts.Add(m); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new Perpendicular(parser.GetIntersection(new Segment(m, q), new Segment(a, c)))); given.Add(new GeometricParallel((Segment)parser.Get(new Segment(a, c)), (Segment)parser.Get(new Segment(x, z)))); goals.Add(new Perpendicular(parser.GetIntersection(new Segment(m, q), new Segment(x, z)))); }
public Page25Problem8(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 25 Problem 8"; Point p = new Point("P", -5, 5); points.Add(p); Point q = new Point("Q", -4, 4); points.Add(q); Point r = new Point("R", 0, 0); points.Add(r); Point s = new Point("S", 4, 4); points.Add(s); Point t = new Point("T", 6, 6); points.Add(t); Point u = new Point("U", 0, 4); points.Add(u); Segment ur = new Segment(u, r); segments.Add(ur); List <Point> pts = new List <Point>(); pts.Add(p); pts.Add(q); pts.Add(r); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(q); pts.Add(u); pts.Add(s); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(r); pts.Add(s); pts.Add(t); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(p, q, u)), (Angle)parser.Get(new Angle(t, s, u)))); given.Add(new RightAngle((Angle)parser.Get(new Angle(q, u, r)))); given.Add(new RightAngle((Angle)parser.Get(new Angle(s, u, r)))); goals.Add(new GeometricCongruentTriangles(new Triangle(r, u, q), new Triangle(r, u, s))); }
//Demonstrates: Measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures //of the intercepted arcs //To see use of theorem, need to turn off VERTICAL_ANGLES and RELATIONS_OF_CONGRUENT_ANGLES_ARE_CONGRUENT in JustificationSwitch public Test07(bool onoff, bool complete) : base(onoff, complete) { //Circle Point o = new Point("O", 0, 0); points.Add(o); Circle circleO = new Circle(o, 5.0); circles.Add(circleO); //Points for chord ab Point a = new Point("A", -3, 4); points.Add(a); Point b = new Point("B", 3, -4); points.Add(b); //Points for chord cd Point c = new Point("C", -3, -4); points.Add(c); Point d = new Point("D", 1, System.Math.Sqrt(24)); points.Add(d); //Find intersection point of ab and cd Segment ab = new Segment(a, b); Segment cd = new Segment(c, d); Point inter = ab.FindIntersection(cd); Point z = new Point("Z", inter.X, inter.Y); points.Add(z); List <Point> pnts = new List <Point>(); pnts.Add(a); pnts.Add(z); pnts.Add(b); collinear.Add(new Collinear(pnts)); pnts = new List <Point>(); pnts.Add(c); pnts.Add(z); pnts.Add(d); collinear.Add(new Collinear(pnts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); goals.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(a, z, d)), (Angle)parser.Get(new Angle(c, z, b)))); goals.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(a, z, c)), (Angle)parser.Get(new Angle(b, z, d)))); }
public Page229Problem07(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 229 Problem 07"; Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 6, 0); points.Add(b); Point c = new Point("C", 6, 8); points.Add(c); Point p = new Point("P", 0, 10); points.Add(p); Point k = new Point("K", 9, 10); points.Add(k); Point n = new Point("N", 9, 12); points.Add(n); Segment ab = new Segment(a, b); segments.Add(ab); Segment bc = new Segment(b, c); segments.Add(bc); Segment ac = new Segment(a, c); segments.Add(ac); Segment kp = new Segment(k, p); segments.Add(kp); Segment kn = new Segment(k, n); segments.Add(kn); Segment pn = new Segment(p, n); segments.Add(pn); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); }
// Geometry; Page 172 Problem 19 // Demonstrates: Definition of rhombus: If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus. public Page170ClassroomExercise02(bool onoff, bool complete) : base(onoff, complete) { Point n = new Point("N", 0, 0); points.Add(n); Point g = new Point("G", 5, 0); points.Add(g); Point c = new Point("C", 3, 4); points.Add(c); Point t = new Point("T", 8, 4); points.Add(t); Segment nc = new Segment(n, c); segments.Add(nc); Segment ng = new Segment(n, g); segments.Add(ng); Segment gt = new Segment(g, t); segments.Add(gt); Segment ct = new Segment(c, t); segments.Add(ct); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); Quadrilateral quad = (Quadrilateral)parser.Get(new Quadrilateral(nc, gt, ct, ng)); given.Add(new Strengthened(quad, new Parallelogram(quad))); given.Add(new GeometricCongruentSegments(nc, ct)); goals.Add(new Strengthened(quad, new Rhombus(quad))); }
public Page74Problem14To16(bool onoff, bool complete) : base(onoff, complete) { problemName = "Page 74 Problem 14-16"; Point a = new Point("A", 0, 0); points.Add(a); Point b = new Point("B", 5, 6); points.Add(b); Point c = new Point("C", 10, 0); points.Add(c); Point d = new Point("D", 6, 0); points.Add(d); Point e = new Point("E", 5, 0); points.Add(e); Point f = new Point("F", 4, 0); points.Add(f); Segment ba = new Segment(b, a); segments.Add(ba); Segment bf = new Segment(b, f); segments.Add(bf); Segment be = new Segment(b, e); segments.Add(be); Segment bd = new Segment(b, d); segments.Add(bd); Segment bc = new Segment(b, c); segments.Add(bc); List <Point> pts = new List <Point>(); pts.Add(a); pts.Add(f); pts.Add(e); pts.Add(d); pts.Add(c); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new GeometricCongruentSegments(bf, bd)); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(a, f)), (Segment)parser.Get(new Segment(d, c)))); given.Add(new GeometricCongruentSegments((Segment)parser.Get(new Segment(f, e)), (Segment)parser.Get(new Segment(e, d)))); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(f, a, b)), (Angle)parser.Get(new Angle(a, c, b)))); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(e, f, b)), (Angle)parser.Get(new Angle(e, d, b)))); given.Add(new GeometricCongruentAngles((Angle)parser.Get(new Angle(a, b, f)), (Angle)parser.Get(new Angle(c, b, d)))); goals.Add(new GeometricCongruentTriangles(new Triangle(b, e, f), new Triangle(b, e, d))); goals.Add(new GeometricCongruentTriangles(new Triangle(a, d, b), new Triangle(c, f, b))); goals.Add(new GeometricCongruentTriangles(new Triangle(a, f, b), new Triangle(c, d, b))); }
public IPage128Problem01(bool onoff, bool complete) : base(onoff, complete) { problemName = "Book I Page 128 Problem 1"; Point a = new Point("A", 2, 7); points.Add(a); Point b = new Point("B", 0, 0); points.Add(b); Point c = new Point("C", 4, 0); points.Add(c); Point d = new Point("D", 2, 3); points.Add(d); Point p = new Point("P", 2, 0); points.Add(p); Segment ab = new Segment(a, b); segments.Add(ab); Segment ac = new Segment(a, c); segments.Add(ac); Segment bd = new Segment(b, d); segments.Add(bd); Segment cd = new Segment(c, d); segments.Add(cd); List <Point> pts = new List <Point>(); pts.Add(b); pts.Add(p); pts.Add(c); collinear.Add(new Collinear(pts)); pts = new List <Point>(); pts.Add(a); pts.Add(d); pts.Add(p); collinear.Add(new Collinear(pts)); parser = new GeometryTutorLib.TutorParser.HardCodedParserMain(points, collinear, segments, circles, onoff); given.Add(new IsoscelesTriangle((Triangle)parser.Get(new Triangle(a, b, c)))); given.Add(new IsoscelesTriangle((Triangle)parser.Get(new Triangle(d, b, c)))); goals.Add(new GeometricCongruentTriangles(new Triangle(a, b, d), new Triangle(a, c, d))); goals.Add(new GeometricCongruentTriangles(new Triangle(a, b, p), new Triangle(a, c, p))); goals.Add(new AngleBisector((Angle)parser.Get(new Angle(b, a, c)), (Segment)parser.Get(new Segment(a, p)))); goals.Add(new AngleBisector((Angle)parser.Get(new Angle(b, d, c)), (Segment)parser.Get(new Segment(a, p)))); goals.Add(new PerpendicularBisector(parser.GetIntersection(new Segment(a, p), new Segment(b, c)), (Segment)parser.Get(new Segment(a, p)))); }