| Euclides - 1842
...are greater than CA, and вc, CA greater than AB. Therefore any two sides, &c. QED PROP. XXI. THEOR. **IF from the ends of the side of a triangle there be...straight lines to a point within the triangle, these** shall be less than the two other sides of the triangle, but shall contain a greater angle. Let the... | |
| John Playfair - 1842 - 317 sider
...from B to C ; therefore BC is less than BA+AC or BA+AC>BC. PROP. XXI. THEOR. 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.... | |
| 1844
...produced, the angles upon the other side of the base shall be equal. 3. If from the ends of the sides **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. 4. The straight... | |
| Euclid - 1845 - 199 sider
...greater than CA, and BC, CA greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOB. — **If from the ends of the side of a triangle, there...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. Let the... | |
| Great Britain. Council on Education - 1845
...equal to one another. 58."The greater side of every triangle is opposite to the greater angle. 59. **If from the ends of the side of a triangle there be...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. 60.*If the... | |
| Euclides - 1845
...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 to a point within the triangle, these** shall be less than the other two sides of the triangle, but shall contain a greater angle. Let ABC... | |
| Great Britain. Admiralty - 1846
..., (AB + BC > AC, Similarly, { BC J AC > AB. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. **If from the ends of the side of a triangle, there...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. Let ABC... | |
| Great Britain. Admiralty - 1846
...BD>BC; B'D = AB + AC, Prop. a. AB + AC> BC. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. **If from the ends of the side of a triangle, there...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. 1'rup. 5.... | |
| Euclides - 1846
...AC, CB, greater than AB. Wherefore, Any two sides §c. QED PROP. XXI. THEOR. 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 than the other two sides of the triangle, but shall contain a greater angle. Let the... | |
| John Playfair - 1846 - 317 sider
...greater than CA, and BC, CA greater than AB. SCHOLIUM. E PROP. XXI. THEOR. 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.... | |
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