 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...and DF—AE; hence EC = AE, or AC is bisected at E. COR. — The line which joins the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. For, in the same figure, the line through D \\ to AB passes through E (Th.... | |
 | 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... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...equally distant from AB and BC. 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. c Let DE join the middle points of AB and BC. To Prove I)E II to AC, and... | |
 | 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... | |
 | 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... | |
 | 1903 - 896 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... | |
 | 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... | |
 | Joseph Battell - Force and energy - 1903 - 722 pages
...parallel lines are everywhere equally distant from each other. ' A straight line joining the middle points of two sides of a triangle is parallel to the third side.' "Because the separation of the sides of any angle is constant. ' A straight line joining the middle... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...equal). :. PQ=QR=RT. Ax. 1. r\ V Bf \F V 1 \ C/ \G V D/\R A \ : / ~Y PROPOSITION XLI. THEOREM 1 77. The line which joins the midpoints of two sides of a triangle is parallel to the third side, and is equal to onehalf the third side. Given D the midpoint of AB, and E the midpoint of AC in the... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...comprehended between parallel lines are equal}. AJ_ AV A \P y V D/ \H A \ PROPOSITION XLI. THEOREM 177. The line which joins the midpoints of two sides of a triangle is parallel to the third side, and is equal to onehalf the third side, A Given D the midpoint of AR, and E the midpoint of AC in the... | |
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A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. 
