 | Charles Scott Venable - 1881 - عدد الصفحات: 380
...of the new triangle is double the corresponding side of the given triangle. 25. (Corollary of 24. ) The straight line which joins the middle points of...sides of a triangle is parallel to the third side and equal to the half of it. And, conversely, if, through the middle point, D, of the side, AB, of... | |
 | 1882 - عدد الصفحات: 486
...That is, AC is bisected in N. NOTE. — MN is equal to half of AB. Hence the straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to its half, Draw MP,LR, parallel to AF, and join ML, PR. Then from the property of the triangle... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - عدد الصفحات: 510
...through which the diagonal does not pass, they form two pairs of equal triangles. (14.) 1 -2. Show that the straight line which joins the middle points of two sides of a triangle divides the triangle into parts of which one is three times as large as the other. n 4 \ Section 3... | |
 | Euclides - 1883 - عدد الصفحات: 176
...L. ACD and L. ACB. QED 99. The diagonals of a parallelogram bisect each other. 100. The line joining the middle points of two sides of a triangle is parallel to the base, and equal to half the base of the triangle. 101. The lines joining the middle points of the adjacent... | |
 | Mathematical association - 1883 - عدد الصفحات: 86
...parallel to the base passes through the middle point of the other side. COR. 3. The straight line joining the middle points of two sides of a triangle is parallel to the base. [Cor. 2. and Rule of Identity.] SECTION 4. PROBLEMS. PROB. 1. To bisect a given angle. PROB.... | |
 | Euclid, Isaac Todhunter - 1883 - عدد الصفحات: 428
...between these diagonals, then the area of the triangle is equal to the area of the quadrilateral. 106. The straight line which joins the middle points of two sides of any triangle is parallel to the base. 107. Straight lines joining the middle points of adjacent sides... | |
 | 1902 - عدد الصفحات: 730
...as stated are parallel to and equal to one-half of each diagonal, because the join of the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. Also, the parallelogram equals one-half of the original quadrilateral ; —... | |
 | Euclides - 1884 - عدد الصفحات: 434
...Now these triangles are on the same base DE and on the same side of it ; .-. DE is || BC. I. 39 1. The straight line which joins the middle points of two sides of a triangle is || the third side. 2. The straight line drawn through the middle point of one of the sides of a triangle... | |
 | 1884 - عدد الصفحات: 708
...Triangles upon equal bases and between the same parallels, are equal to one another. Prop. 38, Bk. I. 3. The straight line which joins the middle points of two sides of a triangle is equal to half the base. Let the sides AB, AC of the triangle ABC be bisected respectively in D and... | |
 | Euclides - 1884 - عدد الصفحات: 214
...from the extremities of the base of a triangle to meet the opposite sides can bisect each other. (213) The straight line which joins the middle points of two sides of a triangle, (a) is parallel to the third side, (6) is half of the third side, (c) divides the triangle into two... | |
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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 46 INTERCEPTS BY PARALLEL LINES. 
