 | Daniel Cresswell - Geometry - 1816 - 352 pages
...opposite angle, of the spherical triangle PBC. PROP. XVII. (111.) Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, eadi to each, but the angle contained by those two sides of the one, greater than the angle... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...that space will be a maximum when the segments are equal. PROP. V. 8. Theorem. Of all triangles having two sides of the one equal to two sides of the other, each to each, that which has the two sides perpendicular to each other is the greatest. Let the triangle ACB have... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...greater of the two given figures above the less. PROP. LXXIII. 96. THEOREM. If two right-angled triangles have two sides of the one equal to two sides of the other, each to each, the triangles shall be equal, end similar to each other. If the two sides about the right-angle of... | |
 | John Mason Good - 1819 - 800 pages
...rectilineal angle equal to a giren rectilineal angle. Prop. XXIV. Theor. If two triangles have two ¿in of the one equal to two sides of the other, each to each, but the angle contained by the two ;ides of one of them greater than the angle contained by the two... | |
 | John Playfair - 1819 - 354 pages
...viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the othtr, each to each, and have likewise the angles contained by those sides equal to one another ; their... | |
 | Euclides - 1821 - 294 pages
...respectively equal to tieo sides of theother,and the angle contained by those two aides of the one equal to the angle contained . •by the two sides equal to them of the other, their bases or third sides shall be equal, also the angles at the bases shall be equal, via. those... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. IF two triangles havftwo sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...greater than EF. llierefore, if two triangles, Sic. QED Proposition XXV. Theorem. ' If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle also contained by the sides... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...sides of the other, eaeh to eaeh, and have likewise theif bases equal ; the angle whieh is eontained by the two sides of the one shall be equal to the angle eontained by the two sides of the other. Let ABC, DEF be two triangles having the two sides AB, AC,... | |
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If two triangles have two sides of the one equal to two sides of the... 
