| Richard Wormell - 1876
...through the middle point of a side of a triangle parallel to the base it will bisect the other side. 43. **The line joining the middle points of two sides of a triangle is** equal to half the third side and is parallel to it. 44. If from points in the base of an isosceles... | |
| Elias Loomis - Geometry - 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 - 312 pages
...find them 2 3. To divide a given straight line into any number of equal parts. CoB 2 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 2 5. The straight lines drawn from the vertices of a triangle to bisect the opposite sides... | |
| James Maurice Wilson - 1878
...triangle parallel to the base passes through the middle point of the other side. COR. 2. The straight **line joining the middle points of two sides of a triangle is parallel to the** base. EXERCISES FOR SOLUTION. i. If ABC is an isosceles triangle and A is double of either B or C,... | |
| Wm. H. H. Phillips - Geometry - 1878 - 236 pages
...sides of a triangle is parallel to the third D/. side. COR. 2, Since DE = BF = FC, DE = ^ that is, **the line joining the middle, points of two sides of a triangle is** equal to one-half the third side. COR. 3. If, in the trapezoid ABCD, E and F are the middle points... | |
| Charles Mansford - 1879 - 112 pages
...[Bisect BC in O. Join PO and draw AQ 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... | |
| Euclides - 1879
...are equal. Show that two sides of the quadrilateral are parallel. 2. The straight line which joins **the middle points of two sides of a triangle is parallel to the** base. 3. The straight line which joins the middle points of two sides of a triangle is equal to half... | |
| Charles Scott Venable - 1881 - 382 pages
...the corresponding side of the given triangle. 25. (Corollary of 24. ) The straight line which joins **the middle points of two sides of a triangle is parallel to the third side and equal to** the half of it. And, conversely, if, through the middle point, D, of the side, AB, of a triangle, ABC,... | |
| Samuel Constable - Geometry - 1882 - 203 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... | |
| 1882
...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... | |
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