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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. "
Easy Introduction to Mathematics - Pagina 280
door Charles Butler - 1814
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ...

Euclid - 1714 - 520 pagina’s
...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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 364 pagina’s
...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...
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The Elements of Euclid: With Select Theorems Out of Archimedes

Euclid, André Tacquet - 1727 - 239 pagina’s
...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...
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Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone

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...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 393 pagina’s
...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...
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ...

Euclid - 1751 - 384 pagina’s
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pagina’s
...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...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 464 pagina’s
...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...
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 159 pagina’s
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pagina’s
...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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