| John Keill - Logarithms - 1723 - 364 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... | |
| John Keill - Trigonometry - 1733 - 397 pages
...greater than the Bafe of 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... | |
| Benjamin Donne - Mathematics - 1775 - 159 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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. IF two **triangles have two sides of the one equal to two sides of the** other, each to each ; and have likewise the angles contained by those sides equal to one another ;... | |
| John Playfair - Trigonometry - 1806 - 311 pages
...terminated in the other extretnity equal to one another. QED »»\ PROP. VIII. THEOR. .V '" IF two **triangles have two sides of the one equal to two sides of the** other, each to each, and have likewise their biases equal ; the angle which is contained by the two... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...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... | |
| Daniel Cresswell - Geometry, Spherical - 1816 - 294 pages
...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... | |
| Euclides - Geometry - 1816 - 528 pages
...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... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...problem of no small utility and importance. ., PKOP. XLVII. i — - --— - -TT - . . . . (LXXI.) If two **triangles have two sides of the one equal to two sides of the** other, each to each, and if the angles opposite to either pair of equal sides be each a right angle,... | |
| Daniel Cresswell - Mathematics - 1819 - 582 pages
...the greater of the two given figures above the less. PKOP. LXXIII. 96. THEOREM. If two right-angled **triangles have two sides of the one equal to two sides of the** other, each to each, the triangles shall be equal, and similar to each other. If the two sides about... | |
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