 | Arthur Schultze - 1901 - 392 pages
...bisects the other non-parallel side. PROPOSITION XXXIX. THEOREM 147. A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. BC Hyp. In A ABC: AD = DB, AE = EC. To prove 1°. DE II BC. 2°. DE = \BC. Proof. Draw... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...bisects the other non-parallel side. PROPOSITION XXXIX. THEOREM 147. A. line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. \ Hyp. In A ABC: AD = DB, AE = EC.. To prove 1°. DE II BC. 2°. DE = iBC. • Proof. Draw... | |
 | Arthur Schultze - 1901 - 260 pages
...bisects the other non-parallel side. PROPOSITION XXXIX. THEOREM 147. A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. B a Hyp. In A ABC: AD = DB, AE = EC. To prove 1°. DE II BC. 2°. DE = \BC. Proof. Draw... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...proportional between AD and AF, ie AD : AB = AB : AF. 3. The straight line which joins the mid-points of two sides of a triangle is parallel to the third side. 4. The straight line drawn through the mid-point of one side of a triangle parallel to a second side... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...between the same parallels. Use this proposition to show that the straight line joining the middle points of two sides of a triangle is parallel to the third side. 3. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...triangle and bisects one side, it bisects the other side also. 189. The line which joins the middle points of two sides of a triangle is parallel to the third side, and is equal to half the third side. 190. The median of a trapezoid is parallel to the bases, and is equal... | |
 | Education - 1902 - 678 pages
...ihe same side of it, are between the same parallels. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. (3) Describe a rectangle equal to a given irregular pentagon. (4) If the square described on one side... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...on the bisector BF. (§231.) QBD PROPOSITION XXXIX. THEOREM 238. The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one half of it. MC Let DE join the middle points of AB and BC. To Prove DE II to AC, and 7)£ = %AC.... | |
 | James McMahon - Geometry, Plane - 1903 - 382 pages
...parallels have a common difference (169). Apply 72. 173. Cor. 5. The line joining the middle points of the sides of a triangle is parallel to the third side ; and equal to its half. 174. Cor. 6. If one side of a triangle is divided into any number of equal parts, and if... | |
 | 1903 - 898 pages
...aiul 4A, 6 ami GA.] (EXAMINATION PAPERS. 137 Show that the straight line joining the middle points of two sides of a triangle is parallel to the third side, and that the triangle so formed is a quarter of the given triangle. -. Draw u straight line AB 4 inches... | |
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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. 
