 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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