| 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... | |
| 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),... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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