| William Nicholson - Natural history - 1809
...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, лл. those to which... | |
| John Dougall - 1810 - 580 pages
...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 - Natural history - 1821 - 406 pages
...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 - 296 pages
...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 - Electronic book - 1822 - 153 pages
...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 - Logarithms - 1822 - 153 pages
...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 - 179 pages
...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 - 272 pages
...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 - Geometry - 1828 - 316 pages
...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 - Euclid's Elements - 1828 - 542 pages
...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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