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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. "
Elements of Arithmetic, Algebra, and Geometry - Strona 169
autor: George Lees - 1826
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...proportion. PROP. I. — 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 those angles equal...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...PROP. I. — 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 those angles equal...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...to the angle at D ; therefore the triangle ABC is equiangular to the triangle DEF. oN v1. TIIEOIIEM. 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - Liczba stron: 361
...the triangle ABC is equiangular 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, find the sides about the equal angles proportionals, the triangles shaU be equiangular, and shall have...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...less than a right 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...and the sides about two other angles proportionals, and if each of the remaining angles be not less than a right angle, the triangles shall be equiangular,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - Liczba stron: 12
...perpendicular to the line touching 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, and shall have those...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...described on P 0 as diameter will pass through all the points of contact. 8. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional, and parallelograms that have one...
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Examinations Papers

1889
...respectively equal they are similar, and those sides which are opposite to the equal angles are homologous. If two triangles have one angle of the one equal to one angle of the other, and a second angle of the one supplementary to a second angle of the other, then the sides about the third...
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...and those which are opposite to the equal angles are homologous sides. 6. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. N. В.- --Female candidates will...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...are the middle points ofAB, CD, prove that PQ_ is parallel to AC and BD. 10. Equal triangles, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and, conversely, triangles which...
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