Online Geometry: Menelaus' Theorem, Transversal Line, Triangle. Level: High School, College

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Menelaus of Alexandria (70-130) was one of the later Greek geometers who applied spherical geometry to astronomy. He is best known for the so-called Menelaus' theorem.

See also:

 

1.

Ceva's theorem

Ceva's Theorem. Concurrency. Interactive proof with animation. Key concept: Menelaus Theorem.

Puzzle of the Ceva's Theorem: 48 classic piece.

2.

Pascal's Mystic Hexagram Theorem Proof

3.

Blanchet Theorem

4.

Nagel Point Theorem. Proof.
 

5.

Nagel Point Theorem - Flowchart Proof .
 

6.

Gergonne Point Theorem

Gergonne Point Theorem. Concurrency. Interactive proof with animation.

Key concept: Ceva's Theorem.
 

7.

Triangle with the bisectors of the exterior angles

Triangle with the bisectors of the exterior angles. Collinearity.Key concept: Menelaus Theorem.
 

8.

Monge & d'Alembert Three Circles Theorem I with Dynamic Geometry

9.

Monge & d'Alembert Three Circles Theorem II with Dynamic Geometry

10.

Newton's Theorem: Newton's Line. Circumscribed quadrilateral, midpoints of diagonals, center of the circle inscribed.

Puzzle of the Newton's Theorem: 50 pieces of circles.

11.

Pentagons & Pentagrams. I found, exploring with dynamic geometry software, new facts about pentagons and pentagrams. Key concept: Menelaus Theorem.

See also: Pentagons & Pentagrams - Puzzle: 96 triangles.

12.

Eyeball Theorem: Animated Angle to Geometry Study.

13.

Seven Circles Theorem

14.

Equal Incircles Theorem

15.

Archimedes' Book of Lemmas
 

16.

Butterfly Theorem

17.

Triangle Centers

18.

Euler and his beautiful and extraordinary formula

19.

Semiperimeter and incircle

20.

Semiperimeter and excircles of a triangle

21.

Semiperimeter, incircle and excircles of a triangle

22.

Miquel's Pentagram with Dynamic Geometry

23.

Miquel's Pentagram Theorem

Miquel's Pentagram Theorem. Proof

24.

Johnson's Theorem

25.

Simson Line

26.

Angle between two Simson Lines

27.

Sangaku

Sangaku Problem

28.

The Bevan Point

29.

Clifford's Circle Chain Theorems

30.

Kurschak's Tile and Theorem

31.

Animated Angle to Geometry Study

32.

Proposed Problem 28
Right Triangle, altitude, incircles and inradius.

33.

Steiner Point
 

 


 

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Last updated: April 14, 2009