| John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...Ratios that are the same to the same ratio, are the same to one another. 13. Equal parallelograms, **which have one angle of the one equal to one angle of the other, have their** sides about the equal angles reciprocally proportional. M. In a plane triangle, of which the sides... | |
| 1834 - 578 pages
...A c : A 6 : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that 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 are equiangular, and consequently... | |
| Mathematics - 1835 - 684 pages
...the altitude of the first, the two triangles will be equal to one another (11. Cor. 2.). PROP. 40. **Triangles 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.... | |
| Euclid - 1835 - 540 pages
...other, have their sides about the equal angles reciprocally proportional : And parallelograms that **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,... | |
| Eugenius Nulty - Geometry - 1836 - 242 pages
...Multiply these equal ratios, and there will result ABС:DEF::AС.BG: DF.EH(th.T). THEOREM XXIV. 69. Two **triangles which have one angle of the one equal to one angle of the other,** are proportional to the products of the sides which contain those angles. E в Let AB С, DEF be two... | |
| Mathematics - 1836 - 488 pages
...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. XV. Equal... | |
| John Playfair - Geometry - 1836 - 148 pages
...other, have their sides about the equal angles reciprocally proportional ; and parallelograms that **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,... | |
| Euclid, James Thomson - Geometry - 1837 - 410 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,... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...of the other, have their sides about the equal angles reciprocally proportional : And pa allelograms **which have one angle of the one equal to one angle of the** ot/ier, and their sides about the equal angles reciprocally proportional, are equal to one another.... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...therefore the triangle ABC is equiangular to the triangle DEP. PROPOSITION VI. THEOREM. If two triangles **have one angle of the one equal to one angle of the other,** and the sides ahout the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
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