 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.  Elements of Geometry - Page 67by Andrew Wheeler Phillips, Irving Fisher - 1896Full view - About this book
 | 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.... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...base of a 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
...same base, and on 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
...plfane; but only niu'. So alsn of qnnitimut 4 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
...triangle is parallel to the third side.' "Because the separation of the sides of any angle is constant. ' A straight line joining the middle points of two sides of a triangle is equal to half the third.' "Because the separation of the sides of any angle is constant. And therefore... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...equally distant from AB and BC. PROPOSITION XXXIX. THEOREM 238. The line joining the middle point* 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 HE II to AC,... | |
 | Linda Bostock, Suzanne Chandler, F. S. Chandler - Juvenile Nonfiction - 1979 - 660 pages
...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.... | |
 | Howard Whitley Eves - History - 1983 - 292 pages
...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... | |
 | G.E. Martin - Mathematics - 1997 - 536 pages
...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... | |
 | Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...product of the lac . . extremes: — - — ** ad - be \bd (2) A line segment which joins the midpoints of two sides of a triangle is parallel to the third side of the triangle, and its length is one-half the length of the third side. (3) If a line is parallel... | |
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