| 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 - 278 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 - 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 a 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,... | |
| 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 a 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... | |
| 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 a 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.... | |
| Euclid - Geometry - 1890 - 442 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... | |
| 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 is parallel to the third side** and equal to one-half of it. Corollary II. The sides of a triangle passing through the vertices of... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...is divided by each of its medians into two triangles of equal area. 6. The straight line which joins **the middle points of two sides of a triangle is parallel to the third side.** XXXII. 1. The straight lines drawn through the middle points of the sides of a triangle perpendicular... | |
| Dalhousie University - 1891 - 136 pages
...PD.DO. 10 The lines joining the alternate angles of a regular Hexagon trisect one another. 11. Assuming **that the line joining the middle points of two sides of a triangle is** equal to half the third side, solve the following : — The base of a triangle is fixed and the sum... | |
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