 | Rev. John Allen - 1822 - 516 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 - 166 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 - 272 páginas
...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 - 520 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 - 284 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 - 204 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 - 560 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 - 522 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.... | |
 | 1922 - 560 páginas
...and there is no limit to the number of independent solutions. We can also state now this theorem: // two triangles have an angle of one equal to an angle of the other, and if in each triangle the n-th power of the side opposite is equal to the sum of the n-th powers... | |
 | Joe Garner Estill - 1896 - 214 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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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
