| John Playfair - 1842 - 317 páginas
...of the other, have their sides about the equal angles reciprocally proportional : And parallelograms **which have one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional, are equal to one another. Let AB,... | |
| Euclides - 1842
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI. THEOR. IF two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall... | |
| 1843
...equal to one angle of the other, have their sides about the equal angles reciprocally proportional: and **triangles which have one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional, are equal. 5. A common tangent is... | |
| 1844
...with the touching line, shall be equal to the angles in the alternate segments. 12. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles shall be equiangular. MECHANICS AND... | |
| Scottish school-book assoc - 1845
...the first and second terms AABD, we have AABC : ADBE=AB'BC : DB-BE, (Alg. 116) Cor. Parallelograms **which have one angle of the one equal to one angle of the other,** are to one another in the ratio which is compounded of the ratios of the sides about the equal angles.... | |
| Euclides - 1845
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| Euclid, James Thomson - 1845 - 352 páginas
...triangles ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. — If two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals; the remaining angles are equal, each to each, viz.... | |
| Euclid - 1845 - 199 páginas
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOB. — If two triangles **have one angle of the one equal to one angle of the** oiher, and the sides about the equal angles proportionals, the triangles shall be equiangular, and... | |
| Euclides - 1846
...equiangular, and shall have those angles equal about which the sides are proportionals. Let ABC, DEF be two **triangles, which have one angle of the one equal to one angle of the other,** viz. the angle BAC to the angle EDF, and the sides about two other angles ABC, DEF, proportionals,... | |
| Euclides - 1846
...as K to L ; and therefore ex oequali, BD will be to CG, as I to L (by Prop. 33, B. 5). COR. 2. — **Triangles which have one angle of the one equal to one angle of the other,** are to each other in a ratio compounded of the ratios of the sides about the equal angles. COR. 3.... | |
| |