 | Education - 1902 - 730 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 - 86 pages
...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 - 654 pages
...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 - 568 pages
...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 - 210 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 - 176 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 - 264 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 - 242 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 - 214 pages
...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 - 146 pages
...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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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. 
