| 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 - 72 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 - 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,... | |
| 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,... | |
| Henry White - 1864 - 156 pages
...and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 2. If from the ends of a **side of a triangle there be drawn two straight lines...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 it is... | |
| Robert Potts - 1865 - 528 pages
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a tide **of a triangle, there be drawn two straight lines to...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... | |
| Euclides - 1865 - 80 pages
...not equal to AB ; therefore AC is greater than AB. PROPOSITION XXI. TIIEOR. If from the ends of one **side of a triangle there be drawn two straight lines to a point within the triangle, these** two straight lines are less than the two sides of the triangle, but contain a greater angle. Let the... | |
| Euclides - 1865 - 402 pages
...are greater than AB. Therefore, any two sides, &c. QED PROP. XXI.— THEOREM. If from the ends of a **side of a triangle there be drawn two 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.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...greater than AC, and BC, CA greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. **If from, the ends of the side of a triangle there...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 lines BD,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...greater than AC, and BC, CA greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. **If from the ends of the side of a triangle there be...a point within the triangle, these. shall be less** tKan the other two sides of the triangle, but thall contain a greater angle. ',air»t Let ABC be a... | |
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