 | Robert Simson - 1806 - 546 páginas
...inferred, that the first has the same ratio to the third, which the second has to the fourth; or that the first is to the third, as the second to the fourth: as is shown in the 16th prop, of this 5th book. XIV. Invertendo, by inversion ; when there are four... | |
 | John Playfair - 1806 - 320 páginas
...inferred, that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth. See prop. 16th of this book. XV. Invertendo, by inversion : when there are four proportionals, and... | |
 | Sir John Leslie - 1809 - 542 páginas
...products AD and BC still obtains. PROP. VIII. THEOR. Numbers are likewise proportional by alternation, or the first is to the third as the second to the fourth. Let A: B : : C : 1); then alternately A : C : : B : D. !For the extreme terms are here still retained, and the mean... | |
 | John Mason Good - 1813 - 714 páginas
...inferred, that the first has the same ratio to the third, « hicli the •econd has to the fourth; or that the first is to the third, as the second to the fourth: as is shewn in the XVI. Prop, of this Book V. 14. Invertendo, by inversion: when there are four proportionals,... | |
 | Euclides - 1816 - 588 páginas
...inferred, that the first has the same ratio to the third, which the second has to the fourth; or that the first is to the third, as the second to the fourth : As is shown in the 16th prop. of this 5th book. XIV. Invertendo by inversion ; when there are four... | |
 | John Playfair - 1819 - 354 páginas
...inferred, that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth : See Prop. 16. of this Book. XV. Invertendo, by inversion : When there are four proportionals, and... | |
 | Euclides - 1821 - 294 páginas
...alternando ; when it is concluded, that if there be four magnitudes of the same kind proportionals, the first is to the third as the second to the fourth. Note. In this the antecedents are compared with one another, and the consequents with one another;... | |
 | James Ryan - 1824 - 550 páginas
...permutation, or by alternation, or alternately, are terms used, when of four proportionals it is inferred that the first is to the third as the second to the fourth. XIV. .Invertendo, by inversion, or inversely, when of four proportionals, it is inferred that the second... | |
 | James Ryan, Robert Adrain - 1824 - 542 páginas
...permutation, or by alternation, or alternately, are terms used, when of four proportionals it is inferred that the first is to the third as the second to the fourth. XIV. Invertendo, by inversion, or inversely, when of four proportionals, it is inferred that the second... | |
 | Peter Nicholson - 1825 - 1046 páginas
...inferred, that the first has the same ratio to the third, which the second has to the fui ir tli : or that the first is to the third, as the second to the fourth: As is shewn in the 16th prop, of this 5th book. XIV. Inrertendo, by inversion : When there are four... | |
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This word is used when there are four proportionals, and it is inferred that the first has the same ratio to the third which the second has to the fourth ; or that the first is to the third as the second to the fourth : as is shown in Prop. 
