 | William Nicholson - 1809 - 684 σελίδες
...19.) The greater angle of every triangle has the greater side opposite to it. S. (Prop. 4.) If two triangles have two sides of the one respectively equal to two sides of the other, and have the included angles equal, the oilier angles will be respectively equal, ««. those to which... | |
 | John Dougall - 1810 - 554 σελίδες
...remaining side AC to the remaining side DF. 1st Corollary. From this proposition it follows that, if two triangles have two sides of the one respectively equal to two sides of the other, but the angle formed by these two sides in the one greater than the corresponding angle in the other,... | |
 | William Nicholson - 1821 - 406 σελίδες
...19.) The greater angle of every triangle has the greater side opposite to it. 3. (Prop. 4.) If two triangles have two sides of the one respectively equal to two sides of the other, and have the included angles equal, the other angles will be respectively equal, viz. those to which the... | |
 | Euclides - 1821 - 294 σελίδες
...greater, is hilly explained in the notes of Dr. Elrington's Euclid, page, 150. PROP. 25. THEOR. ( If two triangles have two sides of the one respectively equal to two sides of the other, and if the third aids of the one be greater than the third side of the other, the angle opposite the greater... | |
 | John Farrar - 1822 - 270 σελίδες
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle with... | |
 | John Farrar - 1822 - 244 σελίδες
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle with... | |
 | Euclid - 1822 - 222 σελίδες
...equal sides DF and EA are equal (2). Fi.I. 38 SeaN. PROP. XXIV. THEOR. If two triangles (EFD, BAC) have two sides of the one respectively equal to two sides of th^other, ( FE to AB, and FB to AC), and if one of the angles (BAC) contained by the equal sides be... | |
 | George Lees - 1826 - 276 σελίδες
...EF, the base BC is greater also than the base EF. Wherefore, if two triangles, &c. QE I). Cor. If two triangles have two sides of the one respectively, equal to two sides of the other, but the base of the one greater than the base of the other, the angle contained by the two sides of... | |
 | Adrien Marie Legendre - 1828 - 346 σελίδες
...have just found BO +OCZBD+DC; therefore, still more is BO+OCZBA+ AC. THEOREM. ^ 0 -— ' 42. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides will be unequal ; and the greater side, will belong to the... | |
 | Euclid, Dionysius Lardner - 1828 - 542 σελίδες
...eighteenth and nineteenth are to the fifth and sixth. The four might be announced together thus : If two triangles have two sides of the one respectively equal to two sides of the other, the remaining side of the one will be greater or less than, or equal to the remaining side of the other,... | |
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... to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is. 
