| Education - 1902 - 732 pages
...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 ; — since each... | |
| Mathematical association - 1883
...triangle 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.... | |
| Education - 1883
...of the straight lines=ioft. and 12 ft. Ans. Geometry. IN WATSON. — The straight line which bisects **two sides of a triangle is parallel to the third side, and equal to** one half of it. Let D, E be the middle points of the sides AB, AC of the triangle ABC. Then the straight... | |
| Joseph Hughes - Education - 1883
...the straight lines^ioft. and 12 ft. An*. Geometry. i. N. WATSON. — The straight line which bisects **two sides of a triangle is parallel to the third side, and equal to** one half of it. Let D, E be the middle points of the sides AB, AC of the ГТЬеп the straight line... | |
| Richard Wormell - Geometry, Plane - 1883 - 192 pages
...¿ED A, and ¿ D С F — ¿ DAE. Сonsequently triangles ADE, С DF are equal, and AD = С D. 43. **The line joining the middle points of two sides of a triangle is** equal to Jialf the third side, and is parallel to it. Let AB С be the triangle, D and E the middle... | |
| Euclides - 1883 - 96 pages
...Analysis. — Suppose DEF to be the triangle required. It is a well-known proposition (Ex. 100) that **the line joining the middle points of two sides of a triangle is** || to the third side ; .-. AC is || DF, BC || DE, and AB || EF. Synthesis. — The construction suggested... | |
| George Albert Wentworth - 1884 - 266 pages
...of the angle, and every point not in the bisector is unequally distant from the sides. 70. Theorem. **The line joining the middle points of two sides of...triangle is parallel to the third side and equal to** half of the third side. 71. Theorem. A straight line drawn parallel to the base of a triangle, bisecting... | |
| Evan Wilhelm Evans - Geometry - 1884 - 149 pages
...line AB, erect a perpendicular BD equal to the side of the given square. Complete. See Prob. IX. 13. A **line joining the middle points of two sides of a triangle is parallel to the third,** and equal to the half of it. 14. Bisect the sides of a quadrilateral, join the points of bisection,... | |
| Euclides - 1884
...triangles into which a parallelogram is divided by its diagonals, are equal in area. (154) The straight **line joining the middle points of two sides of a triangle is parallel to the** other side. (155) The straight lines which join the middle points of the three sides of a triangle,... | |
| Mathematical association - 1884
...points of the sides of a triangle divide it into four identically equal triangles. *Ex. 59. The straight **line joining the middle points of two sides of a triangle is** equal to half the base. Ex. 60. If a quadrilateral be formed by joining the middle points of the sides... | |
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