| Scottish school-book assoc - 1845 - 444 pages
...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 - 546 pages
...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 - Geometry - 1845 - 382 pages
...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 - Geometry - 1845 - 218 pages
...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 - 292 pages
...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 - 272 pages
...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.... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...angle of the other, have their sides about the equal angles reciprocally proportional : arallelograms **which have one angle of the one equal to one angle of** And par the other, and their sides about the equal angles reciprocally proportional, are equal to one... | |
| Bengal (India) - 1848 - 520 pages
...satisfy one of the tests of the former. 2. Give a proof of the following proposition : " If two triangles **have one angle of the one equal to one angle of the other,** and the sides about two other angles proportionals ; then, if each of the remaining angles be either... | |
| Bengal council of educ - 1848 - 394 pages
...satisfy one of the tests of the former. 2. Give a proof of the following proposition : " If two triangles **have one angle of the one equal to one angle of the other,** and the sides about two other angles proportionals ; then, if each of the remaining angles be either... | |
| Euclides - 1848 - 52 pages
...those angles equal which are opposite to the homologous sides. PROP. VII. THEOREM. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about two other angles proportionals ; then, if each of the remaining angles be either... | |
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