... 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. Plane Geometry - Page 223by John Charles Stone, James Franklin Millis - 1916 - 278 pagesFull view - About this book
| Rev. John Allen - Astronomy - 1822 - 518 pages
...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 - Geometry - 1846 - 166 pages
...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 pages
...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 - Geometry - 1854 - 520 pages
...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 - Geometry - 1872 - 284 pages
...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 - Physics - 1880 - 204 pages
...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 - Algebra - 1890 - 560 pages
...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... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...onehalf of it. 4. The two tangents to a circle from an outside point are equal. 5. If two triangles **have an angle of one equal to an angle of the other** they are to each other as the product of the sides including the equal angles. 6. From the obtuse angle... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...its other sides, an incorrect method. PROPOSITION VIII. THEOREM 398. The areas of two triangles which **have an angle of one equal to an angle of the other** are to each other as the products of the sides including those angles. GIVEN — the triangles ADE... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...its other sides, an incorrect method. PROPOSITION VIII. THEOREM 308. The areas of two triangles which **have an angle of one equal to an angle of the other** are to each other as the products of the sides including those angles. GIVEN — the triangles ADR... | |
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