| Euclid, Rev. John Allen - 1822 - 494 páginas
...HG, and of PB to BL or HE. Cor. 1. — By a similar reasoning it may be proved, that triangles, which **have an angle of one, equal to an angle of the other,** are to each other, in a ratio, compounded of the ratios, of the sides including the equal angles. Cor.... | |
| Dennis M'Curdy - 1846 - 138 páginas
...have their sides about the equal angles reciprocally proportional : and triangles are equal, which **have an angle of one equal to an angle of the other,** and the sides about the equal angles reciprocally proportional. Given two equal triangles ABC, ADE,... | |
| Euclides - 1846
...equal angles are reciprocally proportional (AB to BC as 1.I! to BD. And if two triangles (ABD and CBL), **have an angle of one equal to an angle of the other,** and the sides about the equal angles reciprocally proportional, they will be equal to one another.... | |
| Thomas Lund - 1854 - 192 páginas
...that ab : AB :: be : BC ; and by making C the centre, that be : BC :: ac : AC. COR. 1. Conversely, **if two triangles have an angle of one equal to an angle of the other,** and the sides forming the equal angles proportionals, the triangles will be similar. COR. 2. Hence,... | |
| Euclid - 1872 - 261 páginas
...equal angles are reciprocally proportional (AB to BC as LB to BD). And if two triangles (ABD and CBL), **have an angle of one equal to an angle of the other,** and the sides about the equal angles reciprocally proportional, they will be equal to one another.... | |
| George Anthony Hill - 1880 - 188 páginas
...equiangular with respect to each other. (b) K they have their homologous sides proportional. (c) If they **have an angle of one equal to an angle of the other,** and the sides including these angles proportional. (18) The perpendicular upon the hypothenuse of a... | |
| Webster Wells - 1890 - 577 páginas
...similar, as also are the triangles EOG and COD ; for, by Geometry, two triangles are similar when they **have an angle of one equal to an angle of the other,** and the including sides proportional. Then the figure OFEG is similar to OBDC, and hence OFEG is a... | |
| Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 395 páginas
...the base, PROPOSITION XV. Two triangles which are mutually equiangular are similar. PROPOSITION XVI. **If two triangles have an angle of one equal to an angle of the other,** and the side* including the equal angles proportional, the triangles are similar. PROPOSITION XVII.... | |
| Joe Garner Estill - 1896 - 161 páginas
...the diameter of the circle. 5. Two triangles having an angle of one equal to an angle of the other **are to each other as the product of the sides including the equal angles. 6.** Find the ratio of the radius of a circle to the side of the inscribed square. 7. The area of a sector... | |
| Joe Garner Estill - 1896 - 161 páginas
...the diameter of the circle. 5. Two triangles having an angle of one equal to an angle of the other **are to each other as the product of the sides including the equal angles. 6.** Find the ratio of the radius of a circle to the side of the inscribed square. 7. The area of a sector... | |
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