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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. "
The Elements of Plane Geometry - Side 54
av Charles Austin Hobbs - 1899 - 240 sider
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Proceedings of the Edinburgh Mathematical Society, Volumer 15-16

Edinburgh Mathematical Society - 1897 - 316 sider
...assumes only Euclid, I. 43, and its converse, with the well-known deductions, " the line joining the mid points of two sides of a triangle is parallel to the third side," and " the mid point of one diagonal of a parallelogram is also the mid point of the other." The proof given...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 374 sider
...of two sides of a triangle is parallel to the third /\ side. MA—\N \ 129. Exercise.—A straight line joining the middle points of two sides of a triangle is equal to half the third side. Hint.—Prove DE - BX, and DE = XC. 130. Defs.—A trapezoid is a quadrilateral,...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 376 sider
...Show that this line coincides with a line drawn / J^ as in §127. A < 129. Exercise. — A straight line joining the middle points of two sides of a triangle is equal to half the third / side. * ty— Hint.— Prove DE = BX, and DE = XC. p/ , 130. Defs. — A...
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - 1898 - 424 sider
...square are of equal length, bisect each other, and are at right angles. 10. Prove analytically that the line joining the middle points of two sides of a triangle is parallel to the third side and equal to half its length. 11. Find the locus of the vertex of a triangle whose base is 2 a and the...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 284 sider
...line parallel to AC. (Sum of A at B = 2 rt. A.) MISCELLANEOUS THEOREMS. V PROP. XL VII. THEOREM. 130. 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. B Given line DE joining middle points of sides AB and AC, respectively, of...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 250 sider
...parallel to AC. (Sum of 4 at B = 2 rt. A.) MISCELLANEOUS THEOREMS. PROP. XLVII. THEOREM. 130. 77;e line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of it. B Given line DE joining middle points of sides AB and AC, respectively, of...
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - 1898 - 458 sider
...meet in a point; 38. the perpendicular from each vertex to the opposite sides meet in a point; 39. the line joining the middle points of two sides of a triangle is parallel to the third side. 40. Show that the equation 56 z2 + 441 xy - 56 y2 - 79 x - 47 y + 9 = 0 represents the bisectors of...
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - 1898 - 482 sider
...triangle whose vertices are (2, 2), (~7, -1), and (-1, 5). Plot the figure. 20. Show analytically that the line joining the middle points of two sides of a triangle is half the length of the third side. 21. A point is 7 units distant from the origin and is equidistant...
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Solid Geometry, Volumer 6-9

George Albert Wentworth - 1899 - 246 sider
...base of a triangle and bisects one side, it bisects the other side also. 189. 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. 190. The median of a trapezoid is parallel to the bases, and is equal to half...
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Plane Geometry

George Albert Wentworth - 1899 - 272 sider
...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 to BC, passes through E, the...
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