| Euclides - 1860 - 288 pages
...are greater than CA, and BC and CA greater than AB. PBOPOSITION XXI. THEOREM. If from the ends of one **side of a triangle, there be drawn two straight lines to a point within the triangle, these** two lines shall be less than the other two sides of the triangle, but shall contain a greater angle.... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn tteo **straight lines to a point within the triangle; these shall be less than the other two** tides of the triangle, but shall contain a greater angle. Let ABCbe a triangle, and from the points... | |
| War office - 1861 - 714 pages
...the interest on 1049Z. 16s. Gd. for 6 years 4 months at 4^ per cent., simple interest. Euclid. 1. If **from the ends of the side of a triangle there be drawn...of the triangle, but shall contain a greater angle.** 2. In any right angled triangle, the square which is described on the side subtending the right angle... | |
| Euclides - 1862 - 140 pages
...greater than AB. Conclusion. — Therefore, any two sides, &.c. Q. JE. D. PROPOSITION 21.— THEOREM. If **from the ends of the side of a triangle there be drawn...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 points... | |
| 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 ends... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If **from the ends of the side of a triangle there be drawn...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 two sides... | |
| Euclides - 1863 - 74 pages
...al,iect.— See " Euclid Practically Applied," Par! ' l.,Pr. 20,1. p. 84. " C PROP. 21. — THEOR. If **from the ends of the side of a triangle there be drawn two** st. » point within the triangle, these lines shall be less than the other ttco the triangle, but shall... | |
| Euclides - 1864 - 262 pages
...are greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a **side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle. Let** ABCbe a triangle, and from the points B, C, the ends of the Bide BC, let the two straight lines BD,... | |
| Euclides - 1864 - 448 pages
...are greater than AB. Therefore any two sides, &e. QED PROPOSITION XXI. THEOREM. If from the ends of a **side of a triangle, there be drawn two straight lines...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 lines BD,... | |
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