 | John Keill - 1723 - 444 pagine
...greater than the Bafe of the other; which was to be demonftrated. PROPOSITION XXV, THEOREM. 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 ; they fh all alfo have the Angles, contain1d... | |
 | Euclid, John Keill - 1733 - 444 pagine
...equal to it. Where^ fore the Angle 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, eachto each, and the Bafe of the one greater than the Bafe of the other ; they Jhall alfo have... | |
 | Benjamin Donne - 1775 - 338 pagine
...; much more then muft л. BDC be Г ¿_ A. Q^ ED PI.2.FI 92- THEOREM 14. If two Triangles ABC, DEF, have two Sides of the one equal to two Sides of the other, each to eacbi viz. AB — DE, and AC — DF; eut the contained Angle of one greater than the contained Angle... | |
 | John Keill - 1782 - 476 pagine
...equal to it. Wherefore the Angle BAC is neceflarily greater than the Angle EDF. If, therefore, two Triangles have two Sides of the one equal to two Sides of the tiber, each ts each, and the Baje of the one greater than the Bafe of the other ; they jhatl alfo have... | |
 | John Playfair - 1806 - 320 pagine
...AB, the angle FAG is made 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... | |
 | Robert Simson - 1806 - 546 pagine
...; and therefore also BC is greater than EF. Therefore, if two triangles, &c. QED AS. I. PROP. XXV. THEOR. 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... | |
 | John Mason Good - 1813 - 714 pagine
...base equal to one another, and likewise those which are terminated in the other extremity. Prop. VIII. Theor. If two triangles have two sides of the one equal to two sidfs of the other, each to each, and have likewise their bases equal ; the angle which is contained... | |
 | Charles Butler - 1814 - 582 pagine
...predicate is that which 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... | |
 | Euclides - 1816 - 588 pagine
...equal to BC ; and therefore also BC is greater thanEF. Therefore, if two triangles, &c. QED PROP. XXV. THEOR. 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 ; th« angle also contained by the sides... | |
 | Daniel Cresswell - 1816 - 352 pagine
...interior 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... | |
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If two triangles have two sides of the one equal to two sides of the... 
