 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...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... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...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... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...two aides for the axes anil let the length of a side be a. 11. Show that the line joining the middle points of two sides of a triangle is parallel to the third. Hint. Choose the axes so that the vertices are (0, 0), («, 0), and (Ь, с). 12. Find the equation... | |
 | William Chauvenet - 1905 - 336 pages
...parallel to AC. See now Proposition VII. and Proposition XXIX. 29. The straight line joining the middle points of two sides of a triangle is parallel to the third side. (v. Exercise 28.) 30. The three straight lines joining the middle points of the sides of a triangle... | |
 | Cora Lenore Williams - Geometry - 1905 - 56 pages
...triangle parallel to another side bisects the third side. Prop. 84. The straight line joining the middle points of two sides of a triangle is parallel to the third side. SECTION 2. Equality of Polygons. Def. 71. The altitude of a parallelogram with respect to a given side... | |
 | Levi Leonard Conant - Geometry - 1905 - 134 pages
...line lies without the parallelogram or intersects it. 26. A line connecting the middle points of any two sides of a triangle is parallel to the third side and equal to half that side. 27. If the diagonals of a parallelogram are equal, the parallelogram is a... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1905 - 240 pages
...two Bides for the axes and let the length of a side be a. 11. Show that the line joining the middle points of two sides of a triangle is parallel to the third. Hint. Choose the axes so that the vertices are (0, 0), (a, 0), and (b, c). 12. Find the equation of... | |
 | 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 of BC.... | |
 | 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... | |
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The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it. 
