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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 of Geometry: From the Latin Translation of Commandine. To ... - Pągina 160
per John Keill - 1723 - 364 pągines
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 254 pągines
...triangles ? P.—The angles of the one are equal to the angles of the other, each to each. M.—Draw two triangles having one angle of the one equal to one angle of the other. P.—Let the angle bac be equal to the angle e df. M.—If the angle bac be equal to the angle e df,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 pągines
...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, each to each,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pągines
...the triangle ABC is equiangular to the triangle DEP. PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides ahout the equal angles proportionals, the triangles shall be equiangular, and shall have...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pągines
...parallelogram BC. Therefore ri equai parallelograms, &c. QED PROP. XV. THEOR. Equal triangles which haee one angle of the one equal to one angle of the other, haee their sides about the equal angles reciprocally proportional : and triangles which haee one angle...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pągines
...those angles equal which are opposite to the homologous sides, PROP. VII. THEOR. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportional; then, if the remaining angles be each either less...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1853 - 1218 pągines
...About a given circle, to describe a triangle equiangular to a given triangle. 3. 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...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pągines
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI THEOR. I f 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...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pągines
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED 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, and shall...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 pągines
...Therefore the triangle ABC is equiangular to the triangle DEF. PROP. VII. THEOR. 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 angles be either...
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General Report on Public Instruction in the Bengal Presidency

1843 - 582 pągines
...other, have their sides about the equal angles reciprocally proportional: and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal. 5. A common tangent is...
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