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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 ... - Page 161
by John Keill - 1733 - 397 pages
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...Triangles of the same altitude are one to the other as their bases. fi. PROP. VI. — 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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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...Triangles of the same altitude are one to the other, as their bases. PROP. VI. — 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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...other, have their sides about the equal angles reciprocally proportional, and parallelograms that have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another. 9. Prove...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one angle of the one equal to one angle of the other and the sides about two other angles proportionals, and if each of the remaining angles be not less...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...their sides about the equal angles reciprocally proportional; and conversely, parallelograms that have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, are equal to one another. " When /...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...the circle. Voluntary Portion. 1. To inscribe a square in a given circle. 2. 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 to one another,...
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The Messenger of Mathematics, Volume 4

Mathematics - 1868
...the point P to the points A and B cut a line in the points a, /3. The areas of triangles which have one angle of the one equal to one angle of the other, have to one another the ratio which is compounded of the ratios of the sides. Applying this to the triangles...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863
...produced. Also describe a circle touching three sides of a parallelogram. 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, triangle shall be equiangular, and shall have...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...to the triangle DEF. Wherefore, if the 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 proportionals, the triangles shall be equiangular, and shall have...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...equiangular to the triangle SET. Wherefore, if the sides, &c. QED PROP. 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 proportionals, then the triangles shall be equiangular, and shall...
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