 | John Playfair - 1842 - 332 σελίδες
...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 BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals, so... | |
 | 1843 - 570 σελίδες
...angles reciprocally proportional: and 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. 5. A common tangent is drawn to two circles which touch externally : if a circle be described on that... | |
 | John Playfair - 1844 - 338 σελίδες
...of the other have their sides about the equal angles reciprocally proportional; And triangles which have one angle in the one equal to one angle in the...reciprocally proportional, are equal to one another. : trtangle BAD ; but CAB : BAD ::CA: AD, and BAD: BAD :: EA : AB ; therefore CA: AD:: EA: AB(11.5),... | |
 | Euclid - 1845 - 218 σελίδες
...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 BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals, so... | |
 | Euclides - 1845 - 544 σελίδες
...shall 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 BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals, so... | |
 | Euclides - 1846 - 292 σελίδες
...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. First, let AB, BC be equal parallelograms, which have the angles at B equal : the sides of the parallelograms... | |
 | Euclid, John Playfair - 1846 - 332 σελίδες
...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 BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals, so... | |
 | Samuel Hunter Christie - 1847 - 172 σελίδες
...the angle GHI, and AB is to BC as GH to HI (VI. Def. 1): therefore the two triangles ABC, GHI, having one angle in the one equal to one angle in the other, and the sides about the equal angles proportionals, are equiangular (VI. 6); and therefore the angle BCAis... | |
 | Euclides - 1848 - 52 σελίδες
...have their sides about the equal angles reciprocally proportional: and conversely, triangles which have one angle in the one equal to one angle in the...reciprocally proportional, are equal to one another. PROP. XVI. THEOREM. If four straight lines be proportionals, the rectangle contained by the extremes... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...and have those angles equal about which the sides are pro portionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz., the angle BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals,... | |
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... triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another. 
