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" The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side. "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Page 19
by Euclides - 1860
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - Geometry - 1889 - 370 pages
...one side of a triangle, parallel to a second side, bisects the third side. And, 2, the line through the middle points of two sides of a triangle is parallel to the third side. 85°. Theorem. — The three medians of a triangle pass through a common point. CF and...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...intercepted part at A (153). But this latter intercept = 0. .-. BC-DE = DE. .-. DE = £BC. QED 155. COR. 1. The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. 156. COR. 2. Let ABCD be a trape- D/ - <.C zoid, AG = GD, and...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...quadrilateral bisect each other it must be a parallelogram. Ex. 65. — The join of the mid-points of two sides of a triangle is parallel to the base and equal to half of it. Ex. 66.— The straight line through the mid-point of one side of a triangle parallel to...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...follows, in general, that : A straight line drawn from the middle point, etc. Corollary I. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to one-half of it. Corollary II. The sides of a triangle passing through the vertices...
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...|| and = FD. D § 16. (Bookwork, EUCLID, I. 1-34.) 1. The straight line which joins the mid-points of two sides of a, triangle is parallel to the base and equal to half of it ; and, conversely, the straight line drawn through the mid-point of a side of a triangle...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...is divided by each of its medians into two triangles of equal area. 6. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. XXXII. 1. The straight lines drawn through the middle points of the sides of a triangle...
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Calendar of Dalhousie College and University

Dalhousie University - 1891 - 136 pages
...The lines joining the alternate angles of a regular Hexagon trisect one another. 11. Assuming that the line joining the middle points of two sides of a triangle is equal to half the third side, solve the following : — The base of a triangle is fixed and the sum...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...the middle point of one side of a triangle parallel to the other two sides bisect those sides. 25. The line joining the middle points of two sides of a triangle is parallel to the third side. 26. The lines joining the middle points of the sides of a triangle divide the triangle...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...the angles at the base, to construct it. 8. The line joining the middle points of two sides of a 8 triangle is parallel to the base, and equal to the half of it. 9. The difference of the squares on two straight lines is 7 equal to the rectangle contained by their...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...construction; .'. ZX = YC. i 34 Hence AY = YC; that is, AC is bisected at YQED 2. The straight line which joins the middle points of two sides of a triangle, is parallel to the third side. Let ABC be a A , and Z, Y the middle points of the sides AB, AC: then shall ZY be par1...
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