| John Keill - Logarithms - 1723 - 444 pages
...of the one -u> ill be 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... | |
| Euclid, John Keill - Geometry - 1733 - 444 pages
...the given Line AB, equal to the given Right-lined Angle DCE; which was to be done. PROPOSITION XXIV. THEOREM. 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, contained under the equal Right Lines, greater than... | |
| 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... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...two straight 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 - Mathematics - 1806 - 320 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 - 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... | |
| Euclides - 1816 - 588 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 - Geometry - 1816 - 352 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... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 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,... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...two straight 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 t-wo sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, their... | |
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