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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. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 68
by Euclides - 1874
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 336 pages
...Suggestion. Draw DF parallel to AC. See now Proposition VII. and Proposition XXIX. 29. The straight line joining the middle points of two sides of a triangle is parallel to the third side. (v. Exercise 28.) 30. The three straight lines joining the middle points of the sides of a triangle...
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Elements of Analytic Geometry

George Albert Wentworth - Geometry, Analytic - 1886 - 262 pages
...that the diagonals of a square are _L to each other. 53. Prove that the line joining the middle point of two sides of a triangle is parallel to the third side. 54. What is the geometric meaning of the equation 55. Show that the three points (3 a, 0), (0, Bb),...
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Elementary Statics

John Bascombe Lock - Forces and couples - 1888 - 248 pages
...middle point of one of the sides of another piece of cardboard. Shew that their cGs are superposed. The line joining the middle points of two sides of a triangle is parallel to the third side of the triangle and is bisected by the line joining the middle point of the third side to the opposite...
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Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...of the angle, and every point not in the bisector is unequally distant from the sides. 70. Theorem. The line joining the middle points of two sides of...triangle is parallel to the third side and equal to half of the third side. 71. Theorem. A. straight line drawn parallel to the base of a triangle, bisecting...
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Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 270 pages
...of the angle, and every point not in the bisector is unequally distant from the sides. 70. Theorem. The line joining the middle points of two sides of...triangle is parallel to the third side and equal to half of the third side. 71. Theorem. A straight line drawn parallel to the base of a triangle, bisecting...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - Geometry - 1889 - 370 pages
...one side of a triangle, parallel to a second side, bisects the third side. And, 2, the line through the middle points of two sides of a triangle is parallel to the third side. 85°. Theorem. — The three medians of a triangle pass through a common point. CF and AD are medians...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...intercepted part at A (153). But this latter intercept = 0. .-. BC-DE = DE. .-. DE = £BC. QED 155. COR. 1. The line joining the middle points of two sides of...triangle is parallel to the third side, and equal to half of it. 156. COR. 2. Let ABCD be a trape- D/ - <.C zoid, AG = GD, and Gil || to AB. _/ _ \ Then...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 400 pages
...parallel is terminated by the sides, or the sides produced. 66 C THEOREM (13)— The join of two mid points of two sides of a triangle is parallel to the third side, and half of it. In A ABC let D be the mid pt. of AB, and E of AC. Join DE ; and produce it to F, so that...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 393 pages
...intercept = 0. .-. BC-DE = DE. .-. DE=iBC. QED 155. COR. 1. The line joining the middle points of tico sides of a triangle is parallel to the third side, and equal to half of it. 156. COR. 2. Let ABCD be a trape- D/ - vC zoid, AG = GD, and GH || to AB. _/ _ \ Then BH...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...follows, in general, that : A straight line drawn from the middle point, etc. Corollary I. The straight line joining the middle points of two sides of a triangle...parallel to the third side and equal to one-half of it. Corollary II. The sides of a triangle passing through the vertices of another triangle and parallel...
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