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
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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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