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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. "
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ... - Página 18
por Euclid - 1751 - 384 páginas
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 páginas
...triangles, &c. QED Book IV. a Sup. « 2. 1. b 112. Alg. o 11. Alg. d 2- 4e11 1• PROP. VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals, then, if each of the remaining...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 páginas
...to the triangle DEF. If, therefore, two triangles have their sides, &c. QED PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportional, the triangles shall be equiangular,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROP. VII. THEOR. See N. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then, if each of the remaining...
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Library of Useful Knowledge: Natural philosophy, Volumen3

1834 - 578 páginas
...: A b, that is, A c : A 6 : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that 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 are equiangular,...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 páginas
...of a greater number of sides have not, necessarily, their sides so related. PROP. 32. (Eue. vi. 6.) 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 two triangles shall be...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...equiangular to the triangle DEF. Wherefore, " if the sides," &c. QED Hook VI. PROP. VI. THEOR. ' ' ' 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,...
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The Element of Geometry

John Playfair - 1836 - 148 páginas
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. Q,. ED PROP. VII. THEOR. 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,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 páginas
...he equiangular, and shall have those angles equal which are opposite to the. homologous sides. VII. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals, then, if each of the remaining...
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Elements of Plane Geometry According to Euclid

Andrew Bell, Robert Simson - 1837 - 290 páginas
...angle at E ; therefore the triangle ABC is equiangular to the triamrle DEF. PROPOSITION VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals, then, if each of the remaining...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 páginas
...D. Therefore the triangles ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. 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 remaining angles are equal,...
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