| George Darley - 1828 - 169 páginas
...the side which the sparrow has to fly in proportion to that which it has to fly itself. ART. 43. " **Any two sides of a triangle are together greater than the third** sidr." As I have observed before, we often, without knowing an angle from a triangle, give an involuntary... | |
| John Martin Frederick Wright - 1829 - 188 páginas
...= two right angles; .-. angles A, ABC are together < than two right angles. PROP. XX. 56. To prove **that ' any two sides of a triangle are together greater than the third** side,' what is the general construction ? From the point where they meet, produce either of the two... | |
| John Playfair - 1829 - 186 páginas
...AB; therefore AC is greater than AB. Wherefore, the greater angle &c. QED PROPOSITION XX. THEOREM. **Any two sides of a triangle are together greater than the third** side. Let ABC be a triangle; any two sides of it are together greater than the third side, namely,... | |
| Pierce Morton - 1830 - 272 páginas
...not the case. Therefore AB cannot but be greater than A C. Therefore, &c. PROP. 1 0. (Eue. i. 20.) **Any two sides of a triangle are together greater than the third** side : and any side of a triangle is greater than the difference of the other two. Let А В С be... | |
| Thomas Perronet Thompson - 1833 - 150 páginas
...obtuse angle is the greatest. tI.I7.Cor.2. For the angle ist the greatest. PROPOSITION XX. THEOREM. — **Any two sides of a triangle are together greater than the third** side. Let ABC be a triangle. Any two sides of D it are together greater than the third side ; viz.... | |
| 1835
...is not the case. Therefore AB cannot but be greater than A C. Therefore, &c. PROP. 10. (Eue. L 20.) **Any two sides of a triangle are together greater than the third** side : and any side of a triangle is greater than the difference of the other two. Let А В С be... | |
| 1836 - 472 páginas
...angle of every triangle is subtended by the greater side, or has the greater side opposite to it. XX. **Any two sides of a triangle are together greater than the third** side. XXI. If from the ends of one side of a triangle, there be drawn two straight lines to a point... | |
| George Darley - 1836 - 128 páginas
...side opposite to that greater side is greater than the side opposite to the lesser, ibid. ART. 43. **Any two sides of a triangle are together greater than the third** side, 31. ART. 44. If two triangles have two sides of the one equal respectively to two sides of the... | |
| Euclid, James Thomson - 1837 - 390 páginas
...is not equal toAB: therefore AC is greater than A B. Wherefore, if two angles, &c. PROP. XX. THEOR. **ANY two sides of a triangle are together greater than the third** side. 8 Let ABC be a triangle ; any two sides of it are together greater than the third side. Produce... | |
| Charles Reiner - 1837 - 215 páginas
...to the greater angle. 13. In every triangle the greater angle is subtended by the greater side. 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... | |
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