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. Euclid - Page 99by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| Webster Wells - Geometry - 1899 - 424 pages
...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, of A ABC. To... | |
| Webster Wells - Geometry - 1899 - 450 pages
...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. B Given line DE joining middle points of sides AB and AC, respectively, of A ABC. To... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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 CF... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...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... | |
| William James Milne - Geometry - 1899 - 404 pages
...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... | |
| Education - 1899 - 884 pages
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| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...Draw a third parallel through the vertex. Then cor. 1 proves it. 3. The line joining the mid-points **of two sides of a triangle is parallel to the third side.** For if not, suppose through the mid-point of one of those sides a line is drawn parallel to the base... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...of a triangle, parallel to another side, bisects the third side. 3. The line joining the mid-points **of two sides of a triangle is parallel to the third side.** For if not, suppose through the mid-point of one of those sides a line is drawn parallel to the base;... | |
| Charles Hamilton Ashton - Geometry, Analytic - 1902 - 306 pages
...on a line, and find the ratio of their distances from each other. 7410. Show that 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 11. Show that the diagonals of a square or rhombus are perpendicular to each other.... | |
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