| William Grier - Mechanical engineering - 1836 - 344 pages
...any two of its sides be greater than the third side; as, for instance, AC -(- CB greater than AB. 11. **Let ABC be a triangle ; then will the difference of...two sides, as AB — AC, be less than the third side** BC. 12. Let the line EF cut the two parallel lines AB, CD ; then will the angle AKF be equal to the... | |
| William Grier - Mechanical engineering - 1836 - 380 pages
...any two of its sides be greater than the third side; as, for instance, AC + CB greater than AB. 1 1. **Let ABC be a triangle ; then will the difference of...two sides, as AB — AC, be less than the third side** BC. 12. Let the line EF cut the two parallel lines AB, CD; then will the angle AEF be equal to the... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...will mutually coincide. PROPOSITION VII. THEOREM. The sum of any two sides of a triangle, is greater **than the third side. Let ABC be a triangle : then will the** sum of two of its sides, as AC, CB, be greater than the third side AB. For the straight line AB is... | |
| Euclid - Geometry - 1837 - 410 pages
...sides AB, BC are greater than CA, and BC, CA greater than AB. Therefore, any two sides, &c. Cor. Hence **the difference of any two sides of a triangle, is less than the third side.** For, since BA and AC are together greater than BC, from each of these take AC; then (I. ax. 5.) BA... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...14. Any two sides of a triangle are together greater than the third side. 15. The difference between **any two sides of a triangle is less than the third side.** 16. The three sides of every triangle are together greater than double the length of any one side.... | |
| William Grier - Mechanical engineering - 1839 - 344 pages
...two of its sides be greater than the third side ; as, for instance, AC + CB greater than AB. 1 1 . **Let ABC be a triangle ; then will the difference of any two sides, as AB — AC, be less** thairthe third side Bp. 12. Let the line EF cut the two parallel lines AB, CD ; then will the angle... | |
| Euclides - 1840 - 82 pages
...sides of a triangle are together greater than the third side. COR..—Hence the difference between **any two sides of a triangle is less than the third side.** • '•'.> Sllj ' (•'>: ••••': -• : i •hnnjd.'i? ..!.• r 1 ' 1 PROP. XXI. THEOR. If... | |
| Euclides - 1840 - 194 pages
...(const.), which are therefore greater than the third side BC. COR. — Hence the difference between **any two sides of a triangle is less than the third side.** For the greater of those two sides is equal to the less side and the difference between them ; but,... | |
| William Grier - Mechanical engineering - 1842 - 320 pages
...two of its sides be greater than the third side ; as, for instance, AC -f- CB greater than AB. 11. **Let ABC be a triangle; then will the difference of any two sides, as** AB—AC, be less than the third side BC. 12. Let the line EF cut the two parallel lines AB, CD; then... | |
| Scottish school-book assoc - 1845 - 434 pages
...lines cut one another, a straight line be drawn to the third angle, it will bisect the third angle. 4. **The difference of any two sides of a triangle is less than the third side.** 5. The sum of two sides of a triangle is greater than twice the straight line drawn from the vertex... | |
| |