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" 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. "
Elements of Euclid Adapted to Modern Methods in Geometry - Page 68
by Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 216 pages
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
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Exercises on Euclid and in Modern Geometry

James McDowell - 1878 - 310 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...
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Elementary geometry

James Maurice Wilson - 1878 - 450 pages
...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,...
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Elements of Geometry: And the First Principles of Modern Geometry

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...
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The solution of geometrical exercises, explained and illustrated; with a ...

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...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

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...
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Elements of Geometry, After Legendre, with a Selection of Geometrical ...

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,...
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Geometrical Exercises for Beginners

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...
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The Competitor, Volumes 1-2

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...
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