 | Alexander Crombie - 1829 - 664 páginas
...argument seems to justify this representation., do not by themselves convey this notion. He says, " I understand as distinctly the meaning of this proposition,...third, as of this, any two sides of a triangle are greater than the third. This is a doctrine, which no philosopher has ever disputed; and he was combating... | |
 | Alexander Crombie - 1829 - 686 páginas
...seems to justify this representation, do not by themselves convey this notion. He says, " I widerstand as distinctly the meaning of this proposition, any...third, as of this, any two sides of a triangle are greater than, the third. This is a doctrine, which no philosopher has ever disputed; and he was combating... | |
 | John Martin Frederick Wright - 1829 - 206 páginas
...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 - 210 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 - 584 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 - 168 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 - 684 páginas
...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... | |
 | George Darley - 1836 - 172 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... | |
 | 1836 - 488 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... | |
 | Euclid, James Thomson - 1837 - 410 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... | |
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Any two sides of a triangle are together greater than the third side. 
