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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 Geometry: Containing the First Six Books of Euclid, with a ... - Side 125
av Euclid, John Playfair - 1826 - 320 sider
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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858 - 694 sider
....). 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...be equiangular, and shall have those angles equal which are opposite to the homologous sides. 7. PROP. XVin. — Upon a given straight line to describe...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 3

1858 - 398 sider
...5. 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...be equiangular, and shall have those angles equal which are opposite to the homologous sides. 7. PROP. XVIII. — Upon a given straight line to describe...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 sider
...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 - 672 sider
...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 angle, the...
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Parliamentary Papers, Volum 7

Great Britain. Parliament. House of Commons - 1859 - 140 sider
...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 - 366 sider
...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...be equiangular, and shall have those angles equal which are opposite to the homologous sides. PROP. XVIII. — Upon a given straight line to describe...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 sider
...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...be equiangular, and shall have those angles equal which are opposite to the homologous sides. 7. PROP. XVIII. — Upon a given straight line to describe...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 806 sider
...the common pump. IM GEOMETRY. Time, 1 hr. 30 min. 1 or 2 and all the rest make a full paper. 1. (a) If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal ; then if the third -angle in each be both acute, both obtuse, or if one...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 sider
...to attempt more than eight question*. The values attached to the questions are shown in brackets. 1. If two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, show that the triangles are similar, and that those angles which are...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 sider
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. If two triangles have one angle of the one equal to one angle of the other, and the including sides proportional, the triangles are similar. Given AA^d, A2B2C2, such that ZG! = Z C2 and...
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