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
| Wm. H. H. Phillips - Geometry - 1878 - 236 pages
...straight line, it follows, that if AD = DB, and AE = EC, then DE || BC ; that is, the line joining **the middle points of two 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... | |
| James Maurice Wilson - 1878 - 450 pages
...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,... | |
| Euclides - 1879 - 146 pages
...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 the base. 4. Given the middle points of the sides of a triangle, to construct it. 5.... | |
| Charles Mansford - 1879 - 112 pages
...synthesis, and enable us to write the proof in the usual form. The following may stand as an example : — **The straight line which joins the middle points of two sides of a triangle is** equal to half the third side. Particular Enunciation. — Let D and E be the middle points of the sides... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...between these diagonals, then the area of the triangle is equal to the area of the quadrilateral. 106. **The straight line which joins the middle points of two sides of** any triangle is parallel to the base. 107. Straight lines joining the middle points of adjacent sides... | |
| Charles Scott Venable - 1881 - 380 pages
...of the new triangle is double the corresponding side of the given triangle. 25. (Corollary of 24. ) **The straight line which joins the middle points of...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,... | |
| Great Britain. Education Department. Department of Science and Art - 1882 - 512 pages
...through which the diagonal does not pass, they form two pairs of equal triangles. (14.) 1 -2. Show that **the straight line which joins the middle points of two sides of a triangle** divides the triangle into parts of which one is three times as large as the other. n 4 \ Section 3... | |
| 1882 - 480 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... | |
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