| John Keill - Geometry - 1723 - 364 pages
...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 have the Angles, contain1d... | |
| Euclid, John Keill - Geometry - 1733 - 393 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 - 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 contained Angle... | |
| John Keill - Geometry - 1782 - 399 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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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 ; they shall likewise... | |
| John Playfair - Euclid's Elements - 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 sides of the one' shall... | |
| Euclid - Geometry - 1810 - 518 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... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...tl.e greater of Mi) giren straight lines to cut off a part equal to the less. Prop. IV. Theor. 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; they shall likewise have... | |
| Charles Butler - Mathematics - 1814
...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,... | |
| Euclides - Euclid's Elements - 1816 - 528 pages
...another, and likewise those which are terminated in the other extremity. QED PROP. VIII. THEOR. If two **triangles have two 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... | |
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