 | George Albert Wentworth - 1884 - 264 pages
...in the bisector is unequally distant from the sides. 70. Theorem. 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. 71. Theorem. A straight line drawn parallel to the base of a triangle, bisecting... | |
 | Euclides - 1884 - 434 pages
...reliquicz, pp. 56, 57. APPENDIX I. PROPOSITION 1. The straight line joining the middle points of any two sides of a triangle is parallel to the third side and equal to the half of it. BHC Let ABC be a triangle, and let L, K be the middle points of AB, AC: it is required... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...triangles. Ex. 5. Apply Theor. 2, Cor. 3, to shew that the straight line joining the middle points of two sides of a triangle is parallel to the third side. ' Ex. 6. Divide a triangle having its base angles acute into three parts, which shall together make... | |
 | Mathematical association - 1884 - 146 pages
...triangles. Ex. 5. Apply Theor. 2, Cor. 3, to shew that the straight line joining the middle points of two sides of a triangle is parallel to the third side. Ex. 6. Divide a triangle having its base angles acute into three parts, which shall together make up... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...second side, it will bisect the third side ; and, inversely, the sect joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of it. 233. Three or more lines which intersect in the same point are said to be Concurrent. 234.... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...angles are right angles. PROPOSITION XLIV. THEOREM. 130. 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. A In the triangle ABC, let B' be the middle point of AB and C" of AC. To prove that B'C' is parallel... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...second side, it will bisect the third side ; and, inversely, the sect joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of it. 233. Three or more lines which intersect in the same point are said to be Concurrent. 234.... | |
 | George Albert Wentworth - Geometry, Analytic - 1886 - 346 pages
...diagonals of a square are perpendicular to each other. 53. Prove that the line joining the middle points of two sides of a triangle is parallel to the third side. 55. Show that the three points (3«, 0), (0, 3ft), (a, 2b) are in a straight line. 56. Show that the... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...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... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...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... | |
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The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it. 
