| Euclid, John Keill - Geometry - 1723 - 436 pages
...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 - Geometry - 1733 - 446 pages
...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 - Geometry, Plane - 1775 - 336 pages
...; 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 - Geometry - 1782 - 472 pages
...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... | |
| Robert Simson - Trigonometry - 1806 - 548 pages
...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 Playfair - Mathematics - 1806 - 320 pages
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED c4. p5. 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 contained by the sides of that... | |
| Euclid - Geometry - 1810 - 554 pages
...those which are terminated in the other extremity. QED PROP. VIII. THEOR. IF two triangles haveTwo sides of the one equal to two sides of the other, each to each, and have likewise their bases equal; the angle which is contained by the two sides of the one shall be equal to the angle... | |
| John Mason Good - 1813 - 714 pages
...that which has the greater anzle shall he greater thnn the base of the other. 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 ba<e of the other ; the angle also contained by the sides... | |
| Euclides - 1814 - 560 pages
...lines, a part AE has been cut off equal to C the less. Which was to be done. 1 PROP. IV. THEOREM. IF two triangles have two sides of the one equal to two sides...sides, equal; and the two triangles shall be equal; and fheir other angles shall be equal, each to each, viz. those to which the equal sides areopposite. Let... | |
| Charles Butler - 1814 - 582 pages
...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... | |
| |