 | 1857 - 486 pagina’s
...a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 9. If two triangles have one angle of the one equal to...proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 10. If two triangles... | |
 | 1857 - 1266 pagina’s
...lesson on the bent lever. BIGHEB MATHEMATICS AND MATHEMATICAL PHYSICS. SECOND YEAR. SECTION I. — 1. If two triangles have one angle of the one equal to one angle of the other and the sides about two other angles proportional ; then if each of the remaining angles be less or not less than a right... | |
 | British and foreign school society - 1857 - 548 pagina’s
...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... | |
 | 1871 - 420 pagina’s
...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 :... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 pagina’s
....). 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...proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 7. PROP. XVin. — Upon... | |
 | 1858 - 398 pagina’s
...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. 7. PROP. XVIII. — Upon a given straight line to describe a rectilineal figure similar, and similarly... | |
 | War office - 1858 - 578 pagina’s
...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... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 pagina’s
...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 pagina’s
...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 pagina’s
...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. 
