| Sir James Kay-Shuttleworth - Church and education - 1853 - 500 pages
...triangles on each side of it arc similar to the whole triangle and to one another. 2. Equal triangles which **have one angle of the one equal to one angle of the other,** have their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...proportional DB is found. Which was to be done. PROPOSITION XIV. THEOR. 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... | |
| 1855
...the segments of the hase shall have the same ratio which the other sides of thi; triangle have. 2. **If two triangles have one angle of the one equal to...the sides about the equal angles proportionals, the** triangles bhall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
| Euclides - 1855
...extremity of one of the parallels passes through the extremities of all the parallels. PROP VII. THEOREM. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** another angle in each, proportionals ; and if the remaining angle in each be of the same affection... | |
| Robert Potts - 1855
...triangle and the other two sides produced. 6. If two triangles have one angle of the one equal to otie **angle of the other, and the sides about the equal angles proportionals, the** triangle shall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
| John Playfair - Geometry - 1855 - 318 pages
...and the angle at A to the ;mgle at D. Therefore the triangle ABC is equiangular to the triangle DEF. **PROP. VI. THEOR. If two triangles have one angle of the one** efnaH to one angle of the other, and the sides about the equal angles proportinnals, the triangles... | |
| Great Britain. Committee on Education - School buildings - 1855
...; the segments of the base shall have the same ratio which the other sides of the triangle have. 2. **If two triangles have one angle of the one equal to one** angh of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular,... | |
| 1857
...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...the sides about the equal angles proportionals, the** triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
| Education - 1857
...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
...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... | |
| |