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
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...sides. 9. To bisect a parallelogram by a line drawn from a point in one of its sides. 10. A line joining **the middle points of two sides of a triangle, is parallel to the** base, and equal to the half of it. 11. The quadrilateral formed by joining the successiYe middle points... | |
| 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, BD = 2HM =... | |
| George Salmon - Curves, Algebraic - 1852 - 338 pages
...the internal 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... | |
| Euclides - 1853 - 146 pages
...right angles. 10. To describe a square equal to the difference of two given squares. II. A line joining **the middle points of two sides of a triangle is parallel to the** "base, and equal to half of it. 12. To bisect a given parallelogram by a line drawn from a point in... | |
| Thomas Lund - Geometry - 1854 - 522 pages
...(12) Shew that, if any two sides of a triangle be bisected, the line joining the points of bisection **is parallel to the third side, and equal to half of it.** (13) Define similar triangles ; can triangles be similar and not equal? Can they be equal and not similar?... | |
| 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... | |
| Euclides - 1860 - 142 pages
...from P, and the line BC joining them is parallel to AE. EXERCISE XLIX. — THEOREM. The line joining **the middle points of two sides of a triangle is parallel to the** base, and equal to the half of it. Let ABC be a triangle, the line DE, that joins the middle points... | |
| 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
...and cut each other 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, AC each to... | |
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