 | John Keill - Logarithms - 1723 - 444 pages
...BAC is neceflarily greater than the Angle EDF. If, therefore, two Triangles have two Sides of the one equal to two Sides of the other, each to each, and the Bafe of the one greater than the Bafe of the other ; they jh all alfo have the Angles, contain1d under... | |
 | Euclid, John Keill - Geometry - 1733 - 444 pages
...which was to be demonftrated. PROPOSITION XXV. THEOR EM. If two Triangles have two Sides of the one equal to two Sides of the other, each to each, and the Bafe of the one greater than the Bafe of the other j they Jball alfo have the Angles^ contained under... | |
 | Charles Butler - 1814 - 582 pages
...is affirmed or denied of the subject : thus, in prop. 4. tu-o triangles having two sides of the one equal to two sides of the other, each to each, and the included angles equal, is the subject ; and that such triangles tcill have their bases equal, their other tingles equal, and... | |
 | Walter Henry Burton - Astronomy - 1828 - 84 pages
...fundamental one, we will prove it. Suppose two triangles, of whatever form, to have two sides of the one equal to two sides .of the other, each to each; and the angle contained between those two sides in the one triangle to be equal to that which is contained... | |
 | John Playfair - Geometry - 1829 - 210 pages
...part AE has been cut off equal to C, the less. Which was to be done. PROPOSITION IV. THEOREM. IF two triangles have two sides of one triangle equal to two sides of the other, each to each; and have also the angles contained by those aides equal to each other; their third sides will be equal;... | |
 | James Hayward - Geometry - 1829 - 218 pages
...equal in all their parts. And we say universally, — When two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by these two sides of the one, equal to the angle contained by the two sides of the... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...meets the base В С in D (Post. 4). Then, because the triangles ADB, ADC have two sides of the one equal to two sides of the other, each to each, and the interjacent angles BAD, CAD equal to one another, their other angles are equal, each to each (4.) ;... | |
 | Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...part, only to the coincidence of triangles. QUERY I. If in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them also equal to one another, what relation will these two triangles... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...triangles, which you have learned in this section ? Am. 1. If, in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them are also equal to one another, the two triangles are equal in all... | |
 | Mathematics - 1835 - 684 pages
...equal to the angle А О С (III. 12.) ; and, because the triangles SOB, SOC have two sides of the one equal to two sides of the other, each to each, and the angles SOB, S О С which are included by those sides equal to one another (I. 4.), the base SB is... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, and the included... 
