 | 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... | |
 | 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, Solid - 1904 - 232 pages
...equal parts on one transversal, they intercept equal parts on every transversal. 177. The line which joins the midpoints of two sides of a triangle is parallel to the third side, and is equal to one-half the third side. 178. The line which bisects one side of a triangle and is parallel... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...transversal, making the aliernate interior angles unequal, the lines are not parallel. Ex. 3. The line joining the midpoints of two sides of a triangle is parallel to the third side. EXEBCISESo LOCI 97 Ex, 4. If, from a point P in a line AB, lines PC and PD be drawn <m opposite sides... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...transversal, making the alternate interior angles unequal, the lines are not parallel. Ex. 8. The line joining the midpoints of two sides of a triangle is parallel to the third side. Ex. 4. If, from a point P in a line AB, lines PC and PD be drawn on opposite sides of AB making the... | |
 | Linda Bostock, Suzanne Chandler, F. S. Chandler - Juvenile Nonfiction - 1979 - 660 pages
...MISCELLANEOUS EXERCISE 5 In Questions 1—8 give proofs based on vector methods. 1) Prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. 2) Prove that the internal bisectors of the angles of a triangle are concurrent. 3) Prove... | |
 | Howard Whitley Eves - History - 1983 - 292 pages
...Draw FE, MN, FM, EN. Then FE is parallel to BC and equal to one-half of BC (the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is equal to one-half the third side). Similarly, MN is parallel to BC and is equal to one-half of BC.... | |
 | G.E. Martin - Mathematics - 1997 - 536 pages
...Lambert quadrilaterals in absolute geometry are contained in Theorem 22.4. • 22.16 The line through the midpoints of two sides of a triangle is parallel to the third side. 22.17 Theorem 22.17 could have followed Definition 21.9. Why didn't it? Would this rearrangement have... | |
| |
The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it. 
