| Euclides - 1837 - 112 pàgines
...the other pairs of sides is > the remaining side. PROPOSITION XXI. 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 than the other two sides of the triangle, but shall contain a greater angle. • Steps... | |
| Robert Simson - 1838 - 434 pàgines
...CA greater than AB. Therefore any two sides, &c. Q,. ED PROP. XXI. THEOR. 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. * Let the... | |
| Euclides - 1838 - 264 pàgines
...and reason as follows: " For, since BA and AC are together PROP. XXI. THEOR. 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 man the other two sides of the triangle, but shall contain a greater angle. Let ABC be... | |
| Euclides - 1841 - 378 pàgines
...BC, CA greater than AB. Therefore any two sides, &c. UED PROP. XXI. THEOR. 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, out shall contain a greater angle. Let ABC... | |
| Euclides - 1842 - 316 pàgines
...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 drawn two 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... | |
| 1844 - 688 pàgines
...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... | |
| Great Britain. Council on Education - 1845 - 696 pàgines
...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 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. 60.*If the... | |
| Euclides - 1845 - 546 pàgines
...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... | |
| Euclid - 1845 - 218 pàgines
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOB. — 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. Let the... | |
| Great Britain. Admiralty - 1846 - 128 pàgines
...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 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... | |
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