 | Euclides - 1855 - 270 pages
...line E (r cuts the straight line DF in some point between D and F. PR 0 P. XXV. THE 0 RE M. 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 contained by the two sides of... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...and from AB the greater of two straight lines, a part AE has been cut off equal to C the less. PROP. IV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, eacti to each ; and have likewise the angles contained by those sides equal to one another,... | |
 | Euclides - 1856 - 168 pages
...greater than BAG. Much more then is the angle BDC greater than BAC. XXIII.— EUCLID I. 24. 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... | |
 | 1857 - 408 pages
...one shall be equal to the angle contained by the two sides, equal to them, of the other. 2. 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 one of them greater than the angle contained by the two... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...proposition ; hence ACB must be greater than ABC. Therefore, the greater side, &c. PROPOSITION XIII. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the included angles unequal, the base of that which has the greater angle,will be greater than... | |
 | War office - 1858 - 578 pages
...Enunciate the proposition in Euclid's First Book, in the proof of which the 12th axiom is used. 2. 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... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...opposite sides of it are together equal to two right angles. No. 2. BOOK I. 1. PKOP. XXIV. — 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 one of them greater than the angle contained by the two... | |
 | William Robinson Pirie - Brain - 1858 - 670 pages
...foundation of all geometry, consists of two axioms united. The first is to the effect, that "if two triangles have two " sides of the one equal to two sides of the other, " and the angle betwixt them equal, the sides will " lie upon each other." As the " angle" is... | |
 | Isaac Todhunter - Spherical trigonometry - 1859 - 156 pages
...to admit of superposition they are said to be absolutely equal. 58. If two spherical triangles Iiave two sides of the one equal to two sides of the other, each to each, but the angle which is contained by the two sides of the one greater than the angle which is contained... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...to AD; wherefore the straight line AE is equal to C. (ax. 1.) And therefore from AB the greater of two straight lines, a part AE has been cut off equal...PROPOSITION IV. THEOREM. If two triangles have two tides of the one equal to two sides of the other, each to each, and have likewise the angles contained... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, but the... 
