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And the same thing is to be understood when it is more briefly expressed by saying, a has to d the ratio compounded of the ratios of e to f, g to h, and k to l. In like manner, the same things being supposed, if m has to n the same ratio which a has to...
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Page 117
by Euclides - 1860

## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...briefly expressed by sayipg, A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. compounded of the ratios of E to F, G to H, and KtoL. XII. In proportionals, the antecedent terms are called homologous to one another, as also the...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...the ratio compounded of the ratios which are the same with the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if...compounded of the ratios of E to F, G to H, and K to L. 11. If three magnitudes are continual proportionals, the ratio of the first to the third is said to...

## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...briefly expressed by saying, A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if...then, for shortness' sake, M is said to have to N the ratio compounded of the ratios of E to F, G to H, and K to L. XII. In proportionals, the antecedent...

## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...briefly expressed by saying, A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if M has to N the same ratio which . I has to D ; then, for shortness sake, .!/ is said to have to .iV the latio compounded of the ratios...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 pages
...which are the same with the ratios of E to F, G to H, and K to L. In like manner, the same things heing supposed, if M has to N the same ratio which A has...compounded of the ratios of E to F, G to H, and K to L. 11. If three magnitudes are continual proportionals, the ratio of the first to the third is said to...

## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...briefly expressed by saying, A has to D the ratio compounded of the ratios of E to F, K to H, and K to L. In like manner, the same things being supposed, if...then, for shortness' sake, M is said to have to N the ratio compounded of the ratios of E to F, G to H, and KtoL. xn. In proportionals, the antecedent...

## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...briefly expressed by saying, A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if M has to N the same ratio which A has to D j then, for shortness sake, M is said to have to N the ratio compounded of the ratios of E to F, G...

## The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...briefly expressed by saying, a has to d the ratio compounded of the ratios of e to f, g to h, and k to l. In like manner, the same things being supposed, if...', then, for shortness sake, m is said to have to n the ratio compounded of the ratios of e to f, g to h, and k to l. XII. In proportionals, the antecedent...