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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. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Σελίδα 90
των Dennis M'Curdy - 1846 - 138 σελίδες
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ...

Euclid - 1714 - 520 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 angles...

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

John Keill - 1723 - 364 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...

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 remaining Angles...

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

Euclid, John Keill - 1733 - 393 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...

Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ...

Euclid - 1751 - 384 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 angles...

Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 464 σελίδες
...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,...

The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 159 σελίδες
...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...

Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 272 σελίδες
...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....

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...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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