| Euclid, Isaac Barrow - 1714 - 520 sider
...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 fumof the remaining angles of the one triangle equal to the fum of the remaining... | |
| John Keill - 1723 - 364 sider
...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 equiangular , and... | |
| Euclid, André Tacquet - 1727 - 239 sider
...the firft Part. i PROP. XXVI. Theorem. IF two Triangles (XandZ) have two Angles equal&g. 2;. to two, **one Angle of the one equal to one Angle of the other** ( B to F and C to /), and one Side of one Equal to one of the other, whether it be that •which is... | |
| Euclid - 1728
...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 j then is the Sum of the remaining Angles of the one Triangle, equal to the' Sum of the... | |
| John Keill - 1733 - 397 sider
...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 equiangular, and... | |
| Euclid - 1751 - 384 sider
...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... | |
| Robert Simson - 1762 - 466 sider
...3>- »• c. 4. «. dn 5. €. 9. 5. f- «• 1, g- HyPBook VI. PRO P. VII. THEO R. vvnr*^ see N. JF **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 angles be either... | |
| Euclid, Edmund Stone - 1765 - 464 sider
...angle at F : and accordingly the triangles ABC, DBF are equiangular. . .v : ... .- ..: If therefore **two triangles have one angle of the one equal ,to one angle of the** othsr, and the fides about two other angles proportional, and have alfo each of the remaining angles... | |
| Robert Simson - 1775 - 520 sider
...equiangular to the triangle DEF. Wherefore, if the fides, &c. QED PKOP. Book VI. PRO P. VI. THEO R. TF **two triangles have one angle of the one equal to one angle of the other,** and the ftdes about the equal angles proportionals, the triangles Shall be equiangular, and fhall have... | |
| Euclid - 1776 - 264 sider
...BC : Which was to be done. PROP. XIV. and XV. THEO R. EQJJ . AL parallelograms and triangles, having **one angle of the one equal to one angle of the other,** have the ftdes about 5 the equal angles reciprocally proportional ; and thefe parallelograms and triangles... | |
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