| Euclides - 1838
...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 a triangle,... | |
| Euclides - 1841
...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...be less than the other two sides of the triangle,** out shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the... | |
| Euclides - 1842
...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...within the triangle, these shall be less than the** two other sides of the triangle, but shall contain a greater angle. Let the two straight lines BD,... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...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.... | |
| Education - 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...of the triangle but shall contain a greater angle.** 4. The straight lines which join the extremities of two equal and parallel straight lines are themselves... | |
| Robert Potts - 1845
...; also that BC, CA 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...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 lines... | |
| Euclid - Geometry - 1845 - 199 pages
...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...of the triangle, but shall contain a greater angle.** Let the two straight lines BD. CD be drawn from B, C, the ends of the side BC of the triangle ABC,... | |
| Great Britain. Council on Education - 1845
...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...of the triangle, but shall contain a greater angle.** 60.*If the square described upon one of the sides of a trinngle be equal to the sum of the squares... | |
| Euclides - 1846
...are greater than AC, and 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...of the triangle, but shall contain a greater angle.** Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC,... | |
| Geometry - 1846
...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...of the triangle, but shall contain a greater angle.** Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the point D within the ^\; then... | |
| |