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F, equal to them in number, be taken two and two in the fame ratio, and if their analogy be perturbate, viz. as A is to B, fo is E to F, and B to C as D to E ; and if the firft A be greater than the third C, then the fourth D will be greater than the...
The Elements of Euclid: In which the Propositions are Demonstrated in a New ... - Page 72
by Euclid - 1776 - 264 pages

## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

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's Elements of Geometry,: From the Latin Translation of Commandine. To ...

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's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

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...

## Euclid's Elements of Geometry: From the Latin Translation of Commandine. 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...

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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...

## The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

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...

## The First Six Books: Together with the Eleventh and Twelfth

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;...

## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

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,...