Books Books
If the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ...
by John Mason Good - 1813

## Elementary Algebra

James Hamblin Smith - Algebra - 1882 - 398 pages
...test is given in Book v. Def. 5, where it stands thus : " The first of four magnitudes is said to have the same ratio to the second which the third has to...the fourth, when any equimultiples whatsoever of the f1rst and third being taken and any equimultiples whatsoever of the second and fourth : " If the multiple...

## Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1882 - 398 pages
...DEF. Euclid's test of a proportion is as follows : — " The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiplos whatsoever of the first and third being taken, and any equimultiples whatsoever of the...

## Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883
...multiple of the third is also equal to that of the fourth : or, " If the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth." We shall now show, first, how to deduce Euclid's test of the equality...

## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. When four magnitudes are proportionals it is usually expressed by...

## The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...ratio and its reciprocal is unity." v. The first of four magnitudes has to the second the same ratio which the third has to the fourth, when any equimultiples...equimultiples whatsoever of the second and fourth, if, according as the multiple of the first is greater than, equal to, or less than the multiple of the...

## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 312 pages
...ratio and its reciprocal is unity." v. The first of four magnitudes has to the second the same ratio which the third has to the fourth, when any equimultiples...equimultiples whatsoever of the second and fourth, if, according as the multiple of the first is greater than, equal to, or less than the multiple of the...

## Notes on algebra

Howard Candler - 1885
...proportionals if — = b а The geometrical definition is 2. The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when, any equimultiples whatever being taken of the ist and 3rd, and any equimultiples whatever of the 2nd and 4th, if the...

## A Text Book of Algebra

William Steadman Aldis - Algebra - 1887 - 588 pages
...when any equimultiples whatever of the first and third being taken, and any equimultiples whatever of the second and fourth, if the multiple of the first...of the third is also less than that of the fourth, and if the multiple of the first be equal to that of the second, the multiple of the third is also...