 | 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. Three... | |
 | 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. Three... | |
 | 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... | |
 | 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 - 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... | |
 | 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... | |
 | George Albert Wentworth - Geometry - 1888 - 264 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. For, a line drawn through D, the middle point of AB, II to BC, passes... | |
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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. 
