| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 370 pages
...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,... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...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... | |
| John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 424 pages
...of a 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... | |
| John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 456 pages
...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... | |
| Webster Wells - Geometry - 1898 - 284 pages
...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,... | |
| Webster Wells - Geometry - 1898 - 250 pages
...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,... | |
| John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 462 pages
...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... | |
| Webster Wells - Geometry - 1899 - 424 pages
...line parallel to AC. (Sum of A at B = 2 rt. A.) A MISCELLANEOUS THEOREMS. PROP. XLVII. 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. Given line DE joining middle points of sides AB and AC, respectively,... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...two straight lines drawn between the same two points, which by Ax. 12 is impossible. Consequently, **the line joining the middle points of two sides of a triangle is parallel to the third side.** Proposition XLIII 160. Draw a trapezoid and a line connecting the middle points of the non-parallel... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...construct a rhomboid when the two diagonals and the included angle are given. Proposition 64. Theorem. 76. **The line joining the middle points of two sides of a triangle is parallel to the third side,** and is equal to one half the third side. B 57 Conclusion. DE is II to BC, and DE = \ BC. Proof. Draw... | |
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