| Euclid, John Keill - Geometry - 1723 - 442 pages
...be proportional ; • •Lj and others D, E, F, equal to them in Number. Let their Analogy likewife **be perturbate, viz. as A is to B, fo is E to F ; and** as B fe to C, fo is D to E ; if the firft Magfiitude A be greater than the third C. I fay, the fourth... | |
| Euclid, John Keill - Geometry - 1733 - 397 pages
...Magnitudes, A, B, C, be proportional; and others D, E, F, equal to them in Number, Let their Analogy likewife **be perturbate, viz. as A is to B, fo is E to F; and** as B is to C, fo is D to E ; if the firft Magnitude A be greater than the third C. I fay, the fourth... | |
| Euclid - Geometry - 1765 - 464 pages
...B, c, and other three D, E, F which taken two and two are in the fame ratio, but in a crofs order ; **viz. as A is to B, fo is E to F, and** as B is to c, fo is D to E. And A be greater than c : I fay D is greater than F ; if A be equal to... | |
| John Keill - Geometry - 1772 - 462 pages
...proportional ; •*-' and others, D, E, F, equal to them in Number. Let their Analogy likewife be perturbate j **viz. as A is to B, fo is E to F ; and** as B is to C, fo is D to E : If the firft Magnitude A be greater than the third C, I fay, the fourth... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...there be four magnitudes A, B, C, D, and other four E, F, G, H, which two and two have the lime ratio, **viz. as A is to B, fo is E to F; and** as B to C, fo F to G ; and as C to D, fo G to A : H ilia! I be to D, as E to H. Becaufe A, B, C are... | |
| Euclid - Geometry - 1776 - 318 pages
...magnitude be greater than the third, then the fourth will be greater than ihe Jixth ; and if thefirft be **equal to the third, then the fourth will be equal...than C, A has a greater ratio to B than C has to B** a ; but A is to B as E is to F ; therefore E has to F a greater ratio than C hath to B ; and inverfely... | |
| Euclid - 1781 - 550 pages
...magnitudes, and D, E, F other three, which have the fame ratio, taken two and two, but in a crofs order, **viz. as A is to B, fo is E to F, and** as B is to C, fo is D to E. If A be greater than C, D fhall be greater than F ; and if equal, equal;... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...magnitudes, and D, E, F other three, which have the fame ratio, taken two and two, but in a crofs order, **viz. as A is to B, fo is E to F, and** as B is to C, fo is D to E. If A be greater than C, D fhall be greater than F i and if equal ; equal,... | |
| Robert Simson - Trigonometry - 1804
...magnitudes, and D, E, F other three which have the fame ratio taken two and two, but in a crofs order, **viz. as A is to B, fo is E to F, and** as B is to C, fo is D to E. If A be greater than C, D fhall be greater than F; and if equal, equalj... | |
| Euclid - 1822 - 179 pages
...Fig. 32. others ( D, E, F) which if taken two by two are in the same ratio but perturbate (A to Bus **E to F, and B to C as D to E) and if** there be taken equi-submultiples (a and. d) of the Jirst magnitude in each series (A and D,) and also... | |
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