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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 46 INTERCEPTS BY PARALLEL LINES. "
Euclid - Page 99
by Euclid, Rupert Deakin - 1903 - 164 pages
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...they intercept equal parts on the transversal AC; that is, the line DE bisects AC. 189. COR. 2. The line which joins the middle points of two sides of a triangle is parallel to the third side, and is equal to half the third side. For, a line drawn through D, the middle point of AB, II to BC, passes...
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Elementary Statics

John Bascombe Lock - Forces and couples - 1888 - 278 pages
...one of the sides of another piece of cardboard. Shew that their cGs are superposed. The line joining the middle points of two sides of a triangle is parallel to the third side of the triangle and is bisected by the line joining the middle point of the third side to the opposite...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...they intercept equal parts on the transversal AC ; that is, the line DE bisects AC. 189. COR. 2. The line which joins the middle points of two sides of a triangle is para/lei to the third side, and is equal to half the third side. For, a line drawn through D, the middle...
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Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 276 pages
...the centre of a parallelogram divides its perimeter into two equal parts. 35. The line which bisects two sides of a triangle is parallel to the third side, and equal to half the third side. ABAE a Fig. 3. Fig. 4. Produce (Fig. 3) DE, making EF= DE, and join BF. & DCE and BEFare...
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Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...the centre of a parallelogram divides its perimeter into two equal parts. 35. The line which bisects two sides of a triangle is parallel to the third side, and equal to half the third side. Fig. 3. E Fig. 4. Produce (Fig. 3) DE, making EF= DE, and join BF. &, DCE and BEF are...
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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 AD are medians...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...(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 Gil || to AB. _/ _ \ Then BH = HC, for,...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...intercept = 0. .-. BC-DE = DE. .-. DE=iBC. QED 155. COR. 1. The line joining the middle points of tico 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/ - vC zoid, AG = GD, and GH || to AB. _/ _ \ Then BH = HC, for,...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...parallel is terminated by the sides, or the sides produced. 66 C THEOREM (13)— The join of two mid points of two sides of a triangle is parallel to the third side, and half of it. In A ABC let D be the mid pt. of AB, and E of AC. Join DE ; and produce it to F, so that...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 428 pages
...general, that : A straight line drawn from the middle point, etc. Corollary L 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 of another triangle...
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