| Euclid, John Keill - Geometry - 1733 - 444 pages
...co-incide, and confequently the Angle BAG will co-incide with the Angle EDF, and will be equal to it. **Therefore if two Triangles have two Sides of the one...equal to two Sides of the other, each to each, and the** Bafes equal, then the Angles contained under the equal Sides will be equal; which was tp be demonftrated.... | |
| Euclid - Geometry - 1765 - 492 pages
...greater than the fide E F. If therefore two triangles have two fides of the one equal to two fides **of the other, each to each ; and the angle of the one contained** by the equal right lines greater than the angle of the other ; then will the bafe of the one he greater... | |
| John Keill - Geometry - 1772 - 462 pages
...DCE ; whicli was to be done. PROPOSITION XXIV. THEOREM. Jj iwo 'Triangles have two Sides of tbe one **equal to two Sides of the other, each to each, and the;.** Dingle of the one contained under tbe equal Right Lines, greater than the ccrrefpondent Angle of the... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...of the other, and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. **Therefore, if two triangles have two sides of the...equal to two sides of the other, each to .. each, and** have likewise the angles contained by those sides equal to one another, their bases shall likewise... | |
| 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 sides of the one' shall... | |
| 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
...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 their... | |
| Charles Butler - 1814 - 582 pages
...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... | |
| Euclides - 1816 - 588 pages
...the other, and be equal to them, viz. the angle ABC to the angle DEF, and the angle .frjft"lo DFE. ' **Therefore, if two triangles have two sides of the...equal to two sides of the other, each to each, and** hsaHj^kewisethe angles contained by those sides equal to one another, their bases shall likewise be... | |
| Daniel Cresswell - Geometry - 1816 - 352 pages
...made, in the 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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