 | 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... | |
 | 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
...by a transversal, making the alternate 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. Ex. 4. If, from a point P in a line AB, lines PC and PD be drawn on opposite sides of AB making the... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...by a 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, Solid - 1904 - 232 pages
...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... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...transversal AC; that is, the line DE bisects AC. 189. COR. 2. 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. A line drawn through D, the middle point of AB, II to BC, passes through... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...supplementary, the triangles are equal in area. ON PROP. 39. 10. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. 11. If two straight lines AB, CD intersect in O, so that the triangle AOC is equal to the triangle... | |
 | Linda Bostock, Suzanne Chandler, F. S. Chandler - Juvenile Nonfiction - 1979 - 660 pages
...2 1. 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...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 that the... | |
 | Howard Whitley Eves - History - 1983 - 292 pages
...respectively. 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... | |
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The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side. 
