College Geometry Online, eLearning, Ceva and Menelaus

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.

Transversal Line, Index

 

Geometry Problem 1600

Geometry Problem 1600: When Cevians Cross: Find the Missing Area: A STEM Geometry Challenge

Geometry Problem 1587

Geometry Problem 1587: Uncover the Elegance of Triangle BGH's Area in Trapezoid ABCD.

Geometry Problem 1585

Geometry Problem 1585: Discover how a triangle's incircle reveals the secret of harmonious convergence

Geometry Problem 1584

Geometry Problem 1584: Proving a Ratio Involving Incircle and Angle Bisector
Unveiling a Potentially Unexplored Geometric Relationshp.

Geometry Problem 1541

Geometry Problem 1541 Challenge: Unveiling BG Length in an Inscribed Quadrilateral with Harmonic Quaternary Insight for Academic Pursuit.

Geometry Problem 1503

Geometry Problem 1503.
Triangle, Incircle, Tangent, Congruence, Perpendicular.

Geometry Problem 1497

Geometry Problem 1497.
Triangle, Transversal, Same Ratio, Proportionality, Isosceles, Double Angle.

Problem 1422

Geometry Problem 1422.
Triangle, Transversal, Cevian, Area, Measurement.

Geometry problem 1179

Geometry Problem 1179
Triangle, Centroid, Transversal, Sum of Ratios, Sides.

Geometry Problem 1062

Geometry Problem 1062.
Scalene Triangle with an angle of 60 degrees, Euler Line, Orthocenter, Circumcenter, Distance, Congruence, Transversal.

Geometry Problem 1040

Geometry Problem 1040.
Isosceles Triangle, Transversal Line, Metric Relations.

Desargues' Theorem, Triangles in Perspective

Geometry Problem 824
Desargues' Theorem, Triangles in Perspective.

Parallelogram, Secant Line, Tangent Circles, Triangle

Geometry Problem 798
Parallelogram, Secant Line, Transversal, Tangent Circles, Circumcircles, Triangle.

Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle

Geometry Problem 761
Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle.

Equilateral Triangle,Trisection, Cevian, Perpendicular

Geometry Problem 759
Equilateral Triangle, Transversal, Trisection of sides, Congruence, Angle.

Outer Nagel Point

Geometry Problem 684: Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem.

Nagel Point

Geometry Problem 683: Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem.

Gergonne Point Theorem

Geometry Problem 682: Gergonne External Point.
Triangle, Excircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem.

Gergonne Point Theorem

Geometry Problem 681: Gergonne Point.
Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem.

Isosceles triangle, midpoint, transversal

Geometry Problem 469.
Isosceles triangle, Midpoint, Transversal, Congruence.

Quadrilateral, transversal, ratio, similarity

Geometry Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity.

Quadrilateral, Midpoint diagonals

Geometry Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal.

RIght triangle, Midpoints, Distance

Geometry Problem 399.
Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence.

Parallelogram, Area

Proposed Problem 398.
Parallelogram, Area, Similarity, Congruence.

Triangle, Altitude

Geometry Problem 397.
Triangle, Altitude, Midpoints, Congruence.

Square, Circle

Geometry Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence.

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Last updated: Jan 4, 2025