 | Euclid, Isaac Barrow - 1714 - 536 pagine
...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 pagine
...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 pagine
...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 pagine
...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 pagine
...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 pagine
...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 pagine
...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 pagine
...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... | |
 | Benjamin Donne - 1775 - 338 pagine
...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 the two remaining Angles... | |
 | Robert Simson - 1775 - 534 pagine
...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... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
