 | Euclides - 1862 - 140 pages
...PROPOSITION 21.— THEOREM. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. (References— Prop. I. 16, 20; ax. 4.) Hypothesis. — Let ABC be a triangle, and from ths... | |
 | Euclides - 1862 - 172 pages
...ends of a side of a triangle there be drawn tioo straight lines to a point within the triangle ; then these shall be less than the other two sides of the triangle, but shall contain a greater angle. (References — i. 16, 20; ax. 4.) Let the two straight lines BD, CD, be drawn from B, C, the... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...rectilineal angle. 3. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...than the other two sides of the triangle, but shall confine a greater angle. 4. Divide a given straight line into two parts so that the rectangle contained... | |
 | Euclides - 1863 - 122 pages
...(ABC), there be drawn two straight lines to a point (D) within the triangle, these (BD and CD) together shall be less than the other two sides of the triangle, but shall contain a greater angle. Produce BD to E. Then, tie two Bides BA, AE, of the triangle unequals add EC. Therefore the... | |
 | Henry White - 1864 - 156 pages
...(relating to parallel lines). 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. 3. What is meant by a corollary? State and prove the corollaries to the proposition in which... | |
 | Euclides - 1864 - 448 pages
...PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle ; these shall be less...sides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight... | |
 | Euclides - 1865 - 402 pages
...the third side. Prop. 21. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. Prop. 22. To make a triangle of which the sides shall be equal to three given straight lines,... | |
 | Robert Potts - 1865 - 528 pages
...PROPOSITION XXI. THEOREM. If from the ends of a tide of a triangle, there be drawn two straight lines to a point within the triangle; these shall be less than the otlier two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...PROPOSITION 21. THEOREM. If from, the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, O, the ends of the side BC, let the two straight... | |
 | Robert Potts - 1868 - 434 pages
...PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle ; these shall be less...sides of the triangle, but shall contain a greater angle, Let ABC\>ea triangle, and from the points B, C, the ends of the side BC, let the two straight... | |
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If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. 
