 | 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... | |
 | 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... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...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...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 - 426 pages
...triangle, it follows, in general, that : A straight line drawn from the middle point, etc. Corollary I. The straight line joining the middle points of two...triangle is parallel to the third side and equal to one-half of it. PROPOSITION XXII. 161. Theorem : The perpendiculars bisecting the sides of any triangle... | |
 | 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 perpendicular... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...perpendiculars to it from the other vertices. 4. The straight line joining the points of bisection of two sides of a triangle is parallel to the third side. 5. If a straight line be drawn through any vertex of a parallelogram so as not to intersect the parallelogram,... | |
 | Dalhousie University - 1891 - 136 pages
...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... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...Similarly it maybe proved that AB, DC are parallel. So that ABCD is a parallelogram. QED Example ii. The straight line joining the middle points of two sides of a triangle is parallel to the base. Let E, F be the middle points of the sides AC, AB of the triangle ABC; it is required to prove... | |
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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. 
