| John Playfair - 1842 - 332 Seiten
...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 - 582 Seiten
...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 Seiten
...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 Seiten
...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 - 546 Seiten
...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 Seiten
...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 - 334 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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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