| Society for the Diffusion of Useful Knowledge (Great Britain) - 1834
...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... | |
| Euclid, Robert Simson - 1835 - 513 pagina’s
...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,... | |
| 1835
...respectively, and PQ is to pq as PB to ¡> b, or as ABtoaô. PROP. 33. (Eue. vi. 7.) If two Mangles **have one angle of the one equal to one angle of the other,** and the sides about two other angles proportionals ; and, if one of the remaining angles be a right... | |
| 1836 - 472 pagina’s
...about the equal angles reciprocally proportional, are equal to one another. XV. Equal triangles which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : And triangles which have one angle... | |
| John Playfair - 1836 - 114 pagina’s
...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 - 1837 - 390 pagina’s
...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,... | |
| Andrew Bell - 1837 - 240 pagina’s
...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... | |
| C. Reiner - 1837 - 215 pagina’s
...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... | |
| John Playfair - 1837 - 318 pagina’s
...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.... | |
| Euclides - 1838
...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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