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The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Euclid - Page 99
by Euclid, Rupert Deakin - 1903 - 164 pages

## The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...equidistant from a given line consists of two parallel lines. 18. Prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half its length. 19. Prove that any two medians cut each other into segments whose lengths have ratio 2:1....

## Machine Proofs in Geometry: Automated Production of Readable Proofs for ...

Shang-Ching Chou, Xiao-Shan Gao, Jingzhong Zhang - Mathematics - 1994 - 490 pages
...A 6.3 Triangles 6.3.1 Medians and Centroids Example 639 (0.001,1, 2) The line joining the midpoints of two sides of a triangle is parallel to the third side and is equal to one-half its length. We have to prove two results. Constructive description ( (points ABC)...

## Abstract Algebra with Applications: Volume 1: Vector Spaces and Groups

Karlheinz Spindler - Mathematics - 1993 - 780 pages
...called the Main Theorem on Proportions.) (b) Show that the line segment which connects the midpoints of two sides of a triangle is parallel to the third side half as long as the third side. Problem 10. Prove part (c) of Desargues' theorem (1.17). Problem 11....

## Challenging Problems in Geometry

Alfred S. Posamentier, Charles T. Salkind - Mathematics - 1996 - 276 pages

## Concise Handbook of Mathematics and Physics

Alexander G. Alenitsyn, Eugene I. Butikov, Alexander S. Kondratyev - Science - 1997 - 536 pages
...(starting from the vertex). The middle line of a triangle (that is, the line joining the midpoints of two sides of a triangle) is parallel to the third side and is a half of it (Figure 9. 8c). 9.2.3 Equal triangles Two triangles are called equal (to each other)...

## New Views in Geometry: An Integrated Approach

Mervine Edwards - Geometry - 1997 - 694 pages