Books Books 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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 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 £ to F, G'to H, and K to L. XII. In proportionals, the antecedent... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if M have to N the same ratio which A has to D; 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... ## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...to Г) the ratio compounded of the ratios of E to F, G to H, and К to L. In like manner, the tame things being supposed» if M has to N the same ratio...then, for shortness sake, M is said to have to N, the ratio compounded of the ratios of E to F, U to Ы, and К to L. 12. hi proportionals, the antecedent... ## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 558 pages
...fourth, and so, on unto the last magnitude. In like manner, the same things being supposed, if A.' has to N the same ratio which A has to D; 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. And if A has to JB the same ratio... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 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... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 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. XI. If three magnitudes are continual proportionals, the ratio of the first to the third is said to... ## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...C to D ; A may also be said to have to D 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 M has to N the same ratio which A has to D, then,... ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...ratio compounded of the ratios of £ to F, G to H, and К to L. In like manner, the tame things bt-ing supposed, if M has to N the same ratio which A has...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 К to L. ELEMENTS 07 EUCLID. XII. ID proportionale,... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...ratio eompounded of the ratios whieh are the same with the ratios of E to F, G to H, and K to L. IB like manner, the same things being supposed, if M has to N the game ratio whieh A has to D, then, for shortness' sake, M is said to have to N a ratio eompounded of... 