 | Euclid, Isaac Barrow - 1714 - 536 σελίδες
...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 - 444 σελίδες
...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 - 280 σελίδες
...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 - 236 σελίδες
...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... | |
 | Euclid, John Keill - 1733 - 444 σελίδες
...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 - 420 σελίδες
...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 - 488 σελίδες
...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 - 1765 - 492 σελίδες
...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 - 534 σελίδες
...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 - 318 σελίδες
...fides about the equal angles reciprocally proportional-, and theje parallelograms and triangles that have one angle of the one equal to one angle of the other , and the fides about the equal angles reciprocally proportional 9 are equal, viz. the parallelogram... | |
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If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 
