| Pierce Morton - 1830 - 584 pagine
...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. For, if the equal angles be placed vertically as in the figure, and the parallelogram... | |
| John Playfair - 1832 - 358 pagine
...equal to one angle of the other have their sides about the equal angles reciprocally proportional: Jind triangles which have one angle in the one equal to...reciprocally proportional, are equal to one another. Let ABC, ADE be equal triangles, which have the angle BAG equal to the angle DAE: the sides about the... | |
| John Playfair - 1833 - 346 pagine
...to one angle of the other have their sides about the equal angles reciprocally proportiontil : And triangles which have one angle in the one equal to...and their sides about the equal angles reciprocally pro~ fortional, are equal t<f one another. Let ABC, ADE be equal triangles, which have the angle BAC... | |
| 1835 - 684 pagine
...angles (37.). PROP. 41. (Eue. vi. 15.) 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 to one another ; and, conversely, equal triangles which have one angle of the one equal to one angle of the other,... | |
| Euclid - 1835 - 540 pagine
...and have those angles equal about which the sides are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAG to the angle EDF, and the sides about two other angles ABC, DEF, proportionals,... | |
| John Playfair - 1836 - 148 pagine
...to one angle of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle in the one equal to...reciprocally proportional, are equ.al to one another. Let ABC, ADE be equal triangles, which have the angle BAG equal to the angle DAE ; the sides about... | |
| 1836 - 488 pagine
...to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to...reciprocally proportional, are equal to one another. XVI. If four straight lines be proportionals, the rectangle contained by the extremes is equal to the... | |
| John Playfair - 1837 - 332 pagine
...equal to one angle of the other have their sides about the equal angles reciprocally proportional ; And triangles which have one angle in the one equal to...reciprocally proportional, are equal to one another. Let ABC, ADE be equal triangles, which have the angle BAC equal to the angle DAE : the sides about... | |
| Andrew Bell - 1837 - 290 pagine
...and have those angles equal about which the sides are proportionals. Let the two triangles ABC, DEF, have one angle in the one equal to one angle in the other ; namely, the angle BAG to the angle EDF, and the sides about two other angles ABC, DEF, proportionals,... | |
| Robert Simson - 1838 - 434 pagine
...to one angle of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle in the one equal to...reciprocally proportional, are equal to one another. Let ABC, ADE be equal triangles, which have the angle BAG equal to the angle DAE ; the sides about... | |
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