Menelaus' Theorem Proof - Triangle line transverse. Online Geometry Tutoring

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's theorem.

See also:

1.		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. Concurrency. Interactive proof with animation. Key concept: Ceva's Theorem.
7.		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.		Van Aubel's Theorem II: Triangle and Cevians.
13.		Eyeball Theorem: Animated Angle to Geometry Study.
14.		Seven Circles Theorem
15.		Equal Incircles Theorem
16.		Archimedes' Book of Lemmas
17.		Butterfly Theorem
18.		Triangle Centers
19.		Euler and his beautiful and extraordinary formula
20.		Semiperimeter and incircle
21.		Semiperimeter and excircles of a triangle
22.		Semiperimeter, incircle and excircles of a triangle
23.		Miquel's Pentagram with Dynamic Geometry
24.		Miquel's Pentagram Theorem. Proof
25.		Johnson's Theorem
26.		Simson Line
27.		Angle between two Simson Lines
28.		Sangaku Problem
29.		The Bevan Point
30.		Clifford's Circle Chain Theorems
31.		Kurschak's Tile and Theorem
32.		Animated Angle to Geometry Study
33.		Proposed Problem 28 Right Triangle, altitude, incircles and inradius.
34.		Steiner Point