| James Maurice Wilson - 1878 - 450 pages
...sides of a 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,... | |
| William Henry Harrison 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
...(AB). [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...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.... | |
| Euclides - 1879 - 146 pages
...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 - 380 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 - 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
...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... | |
| Mathematical association - 1883 - 86 pages
...sides of a 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... | |
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