| 1847
...middle points of the edges AC, AB, BD, BC, DA, DC respectively. Then, since the line drawn to bisect **two sides of a triangle is parallel to the third side, and equal to** half of it, we have BC = 2KN = 2HG, DC = 2MG = 2LK, AC = 2HL = 2MN, DA = 2KH = 2GN, AB = 2LG = 2KM,... | |
| George Salmon - Curves, Algebraic - 1852 - 338 pages
...bisector of the third angle : interpreted the other way, express that the line joining the middle points **of two sides of a triangle is parallel to the third side.** 5. We give now some examples of the use of these equations of the first degree. Ex. 1. Tiie bisectors... | |
| George Salmon - Conic sections - 1852 - 338 pages
...bisector of the third angle : interpreted the other way, express that the line joining the middle points **of two sides of a triangle is parallel to the third side.** 5. We give now some examples of the use of these equations of the first degree. Ex. 1. Tfie bisectors... | |
| Education - 1856 - 730 pages
...is an easy deduction, from any one of this series, that a straight line cutting off' equimultiples **of two sides of a triangle is parallel to the third side ; and,** conversely, a parallel to one side cuts off equimultiples of the other two sides. We need now to have... | |
| Euclides - 1858 - 248 pages
...The square of a line is equal to four times the square of its half. 11. The st. line which bisects **two sides of a triangle, is parallel to the third side, and equal to one-half of it.** 12. If two sides of a triangle be given, its area will be greatest when they contain a rt. angle. 13.... | |
| Robert Potts - 1865 - 528 pages
...is equal to three times that in the first. VL 119. The line joining the points of bisection of any **two sides of a triangle is parallel to the third side, and** the triangle so formed is onefourth of the given triangle. 120. If in the triangle ABC, BC be bisected... | |
| James McDowell - Mechanics - 1867 - 120 pages
...in a point of trisection. (EXERCISES, p. 3, No. 5.) Also 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. (1) Let AB CD be a rhombus. In the triangles ABC, ADC, the sides AB, AC are equal to AD,... | |
| Euclides - 1870 - 270 pages
...square of a st. line is equal to four times the square of its half. 11. The st. line which bisects **two sides of a triangle, is parallel to the third side, and equal to** one half of it. 12. If two sides of a triangle be given, its area will be greatest when they contain... | |
| Euclides - 1874 - 234 pages
...2), the corresponding areas are 1, 4, 9, 16, etc. Conversely. — 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.** In the triangle ABC, let AB, AC be bisected in D and E. The line joining these points is parallel to... | |
| Euclides - 1874 - 120 pages
...parallel to it. Then PQ shall bisect the triangle.] 53. 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. 54. The straight lines joining the middle points of the four sides of any quadrilateral... | |
| |