 | Euclid - Geometry - 1845 - 218 pages
...and so on unto the last magnitude. ratio of B to C, and the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if A has to B the same ratio which E has to F ; and B to C the same ratio that G has to H ; and... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...A, B, C, D be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratios of A to B, B to C, and C to Df 11. When three magnitudes are continual proportionals, the ratio of the first to the third is said... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if A : B :: E : F ; and B : C :: G : H, and C : D :: K : L, then, since by this definition A has... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...8, 16, <fcc., where the common ratio is equal to 2. 82. Of any number of quantities, A, B, C, D, the ratio of the first A, to the last D, is said to be compounded of the ratios of the first to the second, of the second to the third, and so on to the last. 83. Inverse ratio is, where... | |
 | Euclides - 1848 - 52 pages
...the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if A has to B the same ratio which E has to F ; and B to C the same ratio that G has to H ; and... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...compounded of the ratio of A to B, and the ratio of B to C, and the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if A has to B the same ratio which E has to F ; and B to C the same ratio that G has to H ; and... | |
 | Euclides - 1855 - 230 pages
...the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. In like manner, the same things being supposed, if M has to N the same ratio which A has to D ; then,... | |
 | Euclides - 1855 - 270 pages
...the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if A has to B the same ratio which E has to F ; and B to C the same ratio that G has to H ; and... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if A has to B the same ratio which E has to F ; and B to C the same ratio that G has to H ; and... | |
 | Euclides - 1860 - 288 pages
...the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if A:B::E:F; and B : C : : G:H, and C:D ::K:L; then, since by this definition A has to D the ratio... | |
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D, the ratio compounded of the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D ; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if... 
