| John Reynell Morell - 1875 - 220 pages
...corresponding height are given. EXERCISES ON BOOK III. 92. The straight line which joins the centres of two sides of a triangle is parallel to the third side, and equal to half that side. 93. The straight lines which join the centres of the consecutive sides of a quadrilateral... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...bisects AC. GEOMETRY.— BOOK I. 104. Corollaries. 1. Tlie straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to its half. (?) 2. The straight line drawn from the middle point of one of the non-parallel sides of... | |
| Elias Loomis - Conic sections - 1877 - 458 pages
...the angles of the square. PROPOSITION III. 5. The straight line which joins the middle points of any two sides of a triangle is parallel to the third side, and is equal to one half of that side. In the triangle ABC, let D be the middle point of AB, and E the... | |
| James McDowell - 1878 - 310 pages
...proved equal to EC, therefore FH and 11 D are equal. 4. 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. In the Cor. to the last proposition it is proved that the straight line EH joining the middle points... | |
| Charles Mansford - 1879 - 112 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 form a parallelogram.... | |
| Samuel Constable - Geometry - 1882 - 222 pages
...FOR BEGINNERS. FUNDAMENTAL PROPOSITIONS. PROP. 1. The straight line joining the middle points of the sides of a triangle is parallel to the third side and equal to half of it. BDC Let D, E, F, be the middle points of the sides BC, CA, AB, of any triangle ABC. Join FE, BE, CF,... | |
| 1882 - 486 pages
...it is equal to the g'ven rectang'e AD. (QEF) 2. Prove that the line joining the middle points of any two sides of a triangle is parallel to the third side ; and also that the triangle formed by the lines joining the middle points of the three si.lcs is one-fourth... | |
| Education - 1902 - 730 pages
...the midpoints 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 of the little... | |
| 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... | |
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