| John Keill - Logarithms - 1723 - 444 pages
...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 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... | |
| Euclid, John Keill - Geometry - 1733 - 444 pages
...lefler Line C ; which was to be done. PROPROPOSITION IV. THEOREM. If there are two Triangles that have two Sides of the one equal to two Sides of the other, each to each, and the Angle contained by thofe equal Sides in one Triangle equal to the Angle contained by the correfpondent... | |
| Benjamin Donne - Geometry, Plane - 1775 - 338 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 - 476 pages
...firjt Right Lines have ; which was to be demonftrated. PROPOSITION VIII. THEOREM. If two Triangles have two Sides of the one equal to two Sides of the other, each to each^ ana the Bafes equal, then the Angles contained under the equal Sides will be equal. LE T the two Triangles... | |
| John Playfair - Mathematics - 1806 - 320 pages
...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... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...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... | |
| 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... | |
| John Mason Good - 1813 - 714 pages
...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... | |
| Charles Butler - 1814 - 582 pages
...denied, and the 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... | |
| Daniel Cresswell - Geometry - 1816 - 352 pages
...sphere's surface, equal to the given angle. PROP. IX. (97-) Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, each to each, and have, also, the included angles equal, their third sides shall be equal, and their remaining angles,... | |
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