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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.
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Strona 81
autor: Daniel Cresswell - 1817 - Liczba stron: 436
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## The Educational record, with the proceedings at large of the ..., Tomy 3-4

...administrative improvements are due to the eighteenth century? HIGHER MATHEMATICS AND MATHEMATICAL PHfSÏCg. 1. If two triangles have one angle of the one equal to one angle of the other atid the sides "aboiift two other angles proportional ; then if each of the remaining angles be less...
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## The Quarterly Journal of Pure and Applied Mathematics, Tom 11

1871
...the proposition and reduces it to a case of ambiguous equality. Let the triangles ABC, DEF (fig. 9) have one angle of the one equal to one angle of the other; namely, L ВАС =¿ DEF, and the sides about two other angles ABC, EDF proportionals, so that AB :...
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## Parliamentary Papers, Tom 25

....). PROP. I. — Triangles of the same altitude are one to the other as their bases. 6. 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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## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - Liczba stron: 12
...the angles at the base double of the third angle. 8 DIRECT COMMISSIONS. 2. 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. Show also how this follows from...
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## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - Liczba stron: 1869
...pence in the pound is the income tax.? 10. Extract the square root of 6575-5881. Voluntary Portion. 2. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals, each of the remaining angles being greater than a right...
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## Parliamentary Papers, Tom 7

...a given circle, first, a regular hexagon ; secondly, a regular pentagon. 18. 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. 19. Investigate a trigonometrical...
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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...
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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...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - Liczba stron: 361
...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 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,...
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