 | 1871 - 420 σελίδες
...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 :... | |
 | 1858 - 398 σελίδες
...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...equal which are opposite to the homologous sides. 7. PROP. XVIII. — Upon a given straight line to describe a rectilineal figure similar, and similarly... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
....). 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...equal which are opposite to the homologous sides. 7. PROP. XVin. — Upon a given straight line to describe a rectilineal figure similar, and similarly... | |
 | War office - 1858 - 578 σελίδες
...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... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...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... | |
 | Great Britain. Parliament. House of Commons - 1859 - 140 σελίδες
...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... | |
 | Euclides - 1860 - 288 σελίδες
...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'...equal which are opposite to the homologous sides. Given the triangles ABC and BEE having the angle BAG in the one equal to the angle EDE in the other,... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 σελίδες
...the common pump. IM GEOMETRY. Time, 1 hr. 30 win. 1 or 2 and all tlie 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... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 σελίδες
...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... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 σελίδες
...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 A A1 B1d, A2B2C2, such that Z d = Z... | |
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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. 
