| John Playfair - Euclid's Elements - 1835 - 316 pages
...wherefore the parallelogram AB is equal (9. 5.) to the parallelogram BC. PROP. XV. THEOR. Equal triangles **which have one angle of the one equal to one angle...about the equal angles reciprocally proportional ; And** triangles which have one angle in the one equal to one angle in the other, and their sides about the... | |
| Mathematics - 1835
...reciprocally proportional. Cor. 3. (Eue. vi. 14.) And, in the same manner, it may be shown, that any two **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 ; and conversely.... | |
| Euclid - 1835 - 513 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,... | |
| Mathematics - 1836 - 472 pages
...to onfi angle 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... | |
| Eugenius Nulty - Geometry - 1836 - 220 pages
...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... | |
| John Playfair - Geometry - 1836 - 114 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,... | |
| John Playfair - Geometry - 1837 - 318 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.... | |
| Euclid, James Thomson - Geometry - 1837 - 390 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,... | |
| Charles Reiner - Geometry - 1837 - 215 pages
...angles of the one are equal to the angles of the other, each to each. M. — Draw two triangles having **one angle of the one equal to one angle of the other.** P. — Let the angle bac be equal to the angle e df. ? M. — If the angle bac be equal to the angle... | |
| Euclides - 1838
...given straight lines AB, BC, a mean proportional DB is found. Which was to be done. PROP. XIV. THEOR. **Equal parallelograms, which have one angle of the one equal to one angle of the other,** ham their sides about the equal angles reciprocally proportional : and parallelograms that have one... | |
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