| John Keill - Geometry - 1723 - 364 pages
...equal to the Side BC. Whence BC is likewife greater than E'R Therefore if two Triangles have two Sides **of the one, equal to two Sides of the other, each to each, and** the Angle of the one, contain1 d under the equal Right Lines, greater than the correfpondent Angle... | |
| Euclid, John Keill - Geometry - 1733 - 393 pages
...the other } 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... | |
| Benjamin Donne - Geometry, Plane - 1775 - 159 pages
...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 - 399 pages
...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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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 - Euclid's Elements - 1806 - 311 pages
...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... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...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 - Mathematics - 1814
...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, Descriptive - 1816 - 294 pages
...(196.) Theorem. If two spherical triangles*, having their sides similarly posited, have two sides, **of the one, equal to two sides, of the other, each to each, and have,** also, the angles contained by those sides equal to one another, they shall be equal. For it may be... | |
| Euclides - Euclid's Elements - 1816 - 528 pages
...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... | |
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