 | George Albert Wentworth - Geometry - 1904 - 496 pages
...equal parts on the 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... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1905 - 240 pages
...are perpendicular. Hint. Take 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... | |
 | William Chauvenet - 1905 - 336 pages
...Suggestion. Draw DF 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... | |
 | Cora Lenore Williams - Geometry - 1905 - 122 pages
...point of one side of a 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... | |
 | Iowa. General Assembly - Iowa - 1906 - 1122 pages
...Hutchinson JR Thorgrimton SPECIMEN LISTS OF QUESTIONS. STATE DIPLOMA. GEOMETERY. 1. Prove: The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of It. 2. Prove: The sum of two opposite sides of a circumscribed... | |
 | William Meath Baker - Conic sections - 1906 - 363 pages
...bisects the distance between these points. 9. Prove, by using rectangular co-ordinates, that the straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half its length. 10. Find the equations of the medians of the triangle formed... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...three parallels intercept equal parts on AB, they intercept equal parts on BC; that is, BE = EC. 105. A line joining the middle points of two sides of a triangle is parallel to the third side and equal to one-half of that third side. In Fig. 72, let DE join D and E, the middle points... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...trapezoid and bisects one of the non-parallel sides, bisects the other also. PROP. XLII. THEOREM 131. 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. Draw any A ABC. Through D and E, middle points of AB and AC,... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...trapezoid and bisects one of the non-parallel sides, bisects the other also. PROP. XLII. THEOREM 131. 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. Draw any A ABC. Through D and E, middle points of AB and AC,... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...ZE and ZC is a supplement of ZF, — = —. DE DF 2. Prove by means of similarity of triangles that the line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it. GH. \3/ ' vi i Then AB AC AG AH .'.A AGH AB " ' AG AB Bl ~ A ABC.... | |
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The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side. 
