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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
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...as many others (D, E, F), which if taken two by two are in the same ratio but perturbate (A to B as E to F, and B to C as D to E}; and if there be taken equi-submultiples (a and d) of the first magnitude in each series (A and D), and also...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...and three others (D, E, F), which, if taken two by two are proportional, but perturbate (A to B as E to F, and B to C as D to E), and if there be taken any equi-submultiples (a, b, and d) of the first and second in the first series, and...
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Euclid's Elements of Geometry

Euclid - Geometry - 1872 - 284 pages
...and three others (D, E, F), which, if taken two by two are proportional, bat pertarbate (A to B as E to F, and B to C as D to E) : and if there be taken any equi-submultiples (a and d) of the first in each series (A and D), and any other...
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