| Euclides - 1660 - 368 pages
...another triangle (taken feverally , or together,) then is the remaining angle of the on- equall to ti~ e **remaining angle of the other. In like manner , if two triangles have one angle of the one** equall to one of tfieother.thenis the Aim of the remaining angles of the one triangle equall to the... | |
| Euclid, Isaac Barrow - Geometry - 1714 - 520 pages
...other triangle taken together. From whence it follows, 2. That if in one triangle, two angles (taken **feverally, or together) be equal to two angles of...have one angle of the one equal to one of the other,** then is the fumof the remaining angles of the one triangle equal to the fum of the remaining angles... | |
| Euclid, John Keill - Geometry - 1723 - 364 pages
...are equal; which was to be demonftrated. PROPOSITION VI. ' * • • • • -. * . . " THORE iCl. **If two Triangles have one Angle of the one equal to one** Angle of the other; and if the Sides about the equal Angles be proportional, then the. Triangles are... | |
| Euclid, John Keill - Geometry - 1733 - 397 pages
...homologous Sides are fubtcnded, are tqual j which 'was to be Semonftrated. PROPOSITION VI. THEOREM. **If '-two Triangles have one Angle, of the one equal to one** Angle of the other ; and if the Sides about the equal Angles be proportional^ then the Triangles are... | |
| Euclid - Euclid's Elements - 1751 - 384 pages
...feverally, or together) then is the remaining angle of the one equal to the remaining angle of the.other. **In like manner, if two triangles have one angle of the one equal to one of the other,** then is the fum of the remaining angles of the one triangle equal to the fum of the remaining angles... | |
| Euclid - Geometry - 1765 - 464 pages
...equal which are oppofite to the homologous fides. Which was to be demonftrated. PROP. VI. THE OR. . **If two triangles have one angle of the one equal to one** angle of the other, and tbe fides about the eqital angles proportional : tbefe triangles will he equiangular,... | |
| Benjamin Donne - Geometry, Plane - 1775 - 159 pages
...the remaining Angle in one is equal to the remaining Angle in the other Triangle. 8 1. Co ROLL. 3. **If two Triangles have one Angle of the one equal to one** Angle of the other, then the Sum of the two remaining Angles of one Triangle is equal to the Sum of... | |
| Euclid - Euclid's Elements - 1789 - 272 pages
...DEF will be equiangular with the triangle AGH (I. 7.) or ABC, as was to be fhewn. PROP. VI. THEOREM. **If two triangles have one angle of the one equal to one** angle of the other, and the fides about the equal angles proportional, the triangles will be equiangular.... | |
| John Playfair - Euclid's Elements - 1795 - 400 pages
...equiangular to the triangle DEF. Wherefore, if two triangles, &c. Q^ E. D f PROF. PROP. VII. THEO R. **IF two triangles have one angle of the one equal to one** angle of the other, and the fides about two other angles proportionals, then, if each of the remaining... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...equiangular to the triangle DEF. Wherefore, if the fides, Sac. Q^ED PROP. BooK VI. PROP. VI. THEOR. v^v^ **IF two triangles have one angle of the one equal to one** angle of the other, and the fides about the equal angles proportionals, the triangles fhall be equiangular,... | |
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