 | 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 - 276 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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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. 
