| 1884
...appellation to Euclid, i. 5, is a modern error, and that the original asses' bridge was the proposition, " **Any two sides of a triangle are together greater than the third side,"** the demonstration being that an ass at A will walk along the third side AB to his provender at в,... | |
| 1884
...appellation to Euclid, i. 6, is a modern error, and that the original asses' bridge was the proposition, " **Any two sides of a triangle are together greater than the third side,"** the demonstration being that an ass at A will walk along the third side AB to his provender at в,... | |
| Her MAjesty' Inspectors of schools - 1850
...sides of a triangle be unequal, the greater side has the greater angle opposite. 8. Prove Euc. 1. '.iO. **Any two sides of a triangle are together greater than the third** tide. 9. Prove Kuc. I. 48. If the square described upon one side of a triangle be equal to the squares... | |
| Janet Taylor - 1851 - 621 sider
...plane triangle, it will cut the other two sides proportionally, [Eu. vi. 2.] or Theorem D, page 26. **Any two sides of a triangle are together greater than the third side** [Eu. i. 20.] or Theorem IX. page 19. From this it follows also, that the difference of any two sides... | |
| Euclides - 1852
...the side is greater than, equal to, or less than the angle opposite to the other. PEOP. XX. ТНЕOB. **Any two sides of a triangle are together greater than the third side.** In the triangle ABC, the sides л в and в c „ are greater than AC, the sides вc and CA are greater,... | |
| 1858
...an assertion relating to the mind is proved by an induction as wide as that on which we believe that **any two sides of a triangle are together greater than the third,** we have a right to suppose it true for us ; we feel it to be true by our intuition, our experience... | |
| Euclides - 1853 - 147 sider
...therefore a С is greater than a b. Wherefore the greater angle, &c. QED PROPOSITION XX. — THEOREM. **Any two sides of a triangle are together greater than the third side. LET** ab С be a triangle ; any two sides of it together are greater than the third side, viz. the sides... | |
| sir George Ramsay (9th bart.) - 1853
...14. Alexander conquered Darius. 15. The three angles of a triangle are equal to two right lines. 16. **Any two sides of a triangle are together greater than the third side.** 17. The French Convention treated Louis XVI. cruelly. 18. The Chamber of Peers condemned Ney to death... | |
| Royal Military Academy, Woolwich - 1853
...AB ; therefore AC is greater than AB. "Wherefore the greater angle, etc. QED PROPOSITION XX. THEOB. **Any two sides of a triangle are together greater than the third side.** Produce BA to the point D, and make (3. i.) AD equal to AC, and join DC. Because DA is equal to AC,... | |
| Euclides - 1853
...the point A. B For, if not, let it fall otherwise, if possible, as FGDH, and join AF, AG. And because **two sides of a triangle are together greater than the third side,** (1. 20.) 1. AG, 6F, are greater than FA; but FA is equal (I. Def. 15.) to FH, both being from the same... | |
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