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Transversal Lines, Ceva and Menelaus Theorems and Problems - Index
2
Ceva's theorem shines,
Lines of concurrency meet,
Triangle's essence.
Menelaus weaves his spell,
Ratio's secrets revealed.
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Geometry Problem 1600: When Cevians Cross: Find the Missing Area: A STEM Geometry Challenge |
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Geometry Problem 1587:
Uncover the Elegance of Triangle BGH's Area in Trapezoid ABCD. |
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Geometry Problem 1585:
Discover how a triangle's incircle reveals the secret of harmonious convergence |
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Geometry Problem 1584:
Proving a Ratio Involving Incircle and Angle Bisector
Unveiling a Potentially Unexplored Geometric Relationshp. |
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Geometry Problem 1541 Challenge: Unveiling BG Length in an Inscribed Quadrilateral with Harmonic Quaternary Insight for Academic Pursuit. |
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Geometry
Problem 1503.
Triangle, Incircle, Tangent, Congruence, Perpendicular. |
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Geometry
Problem 1497.
Triangle, Transversal, Same Ratio, Proportionality, Isosceles, Double Angle. |
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Geometry Problem 1422. Triangle, Transversal, Cevian, Area, Measurement. |
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Geometry Problem 1179
Triangle, Centroid, Transversal, Sum of Ratios, Sides. |
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Geometry Problem
1062.
Scalene Triangle with an angle of 60 degrees, Euler Line, Orthocenter, Circumcenter, Distance, Congruence, Transversal. |
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Geometry Problem
1040.
Isosceles Triangle, Transversal Line, Metric Relations. |
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Geometry Problem 824
Desargues' Theorem, Triangles in Perspective. |
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Geometry Problem 798
Parallelogram, Secant Line, Transversal, Tangent Circles, Circumcircles, Triangle. |
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Geometry Problem 761
Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle. |
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Geometry Problem 759
Equilateral Triangle, Transversal, Trisection of sides, Congruence, Angle. |
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Geometry Problem 684:
Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
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Geometry Problem 683:
Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
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Geometry Problem 682: Gergonne External Point.
Triangle, Excircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem. |
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Geometry Problem 681:
Gergonne Point.
Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem. |
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Geometry Problem 469.
Isosceles triangle, Midpoint, Transversal, Congruence. |
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Geometry Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity. |
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Geometry Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal. |
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Geometry Problem 399.
Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence. |
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Proposed
Problem 398.
Parallelogram, Area, Similarity, Congruence. |
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Geometry Problem 397.
Triangle, Altitude, Midpoints, Congruence. |
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Geometry Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence. |
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