 | John Playfair - 1806 - 320 pagina’s
...first be the same multiple of the second, or the same part of it, that the third is of the fourth, the first is to the second as the third to the fourth. First, if mA and mB be equimultiples of the magnitudes A and B, mA : A : : »iB : B. Take of mA and... | |
 | Robert Simson - 1806 - 546 pagina’s
...called proportionals. NB < When four magnitudes are proportionals, it is usually « expressed by saying, the first is to the second, as the third to < the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of... | |
 | John Mason Good - 1813 - 714 pagina’s
...called proportionals. NB When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth. 7. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of... | |
 | Euclides - 1816 - 588 pagina’s
...called proportionals. ' NB When four magnitudes are proportion' als, it is usually expressed by saying", the first is to the ' second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition),' the multiple... | |
 | John Playfair - 1819 - 354 pagina’s
...first be the same multiple of the second, or the same part of ii, that the third is of the fourth ; the first is to the second as the third to the fourth. First, if mA, mB be equimultiples of the magnitudes A and B. mA : A : : mB : B. Take of mA and mB equimultiples... | |
 | Pierre Simon marquis de Laplace, Thomas Young - 1821 - 402 pagina’s
...this case an equal positive number must be added as often as there arc units in b. 27. DEFINITION. If the quotients of two pairs of numbers are equal,...expressed by such numbers, are also proportional. If a ; 4~e ; d, a is to b as c to d, or a '. b' ;c '. d. 28. THEOREM. Of four proportionals, the product... | |
 | James Ryan - 1824 - 550 pagina’s
...comprehended by the other. VI. When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second as the third to the fourth. The Seventh Definition according to Euclid. When of the equimultiple" of four magnitudes, (taken as... | |
 | James Ryan - 1826 - 430 pagina’s
...+3" and - bob have unlike signs ; also, the quantities — 3ax, 4-3a3x ; and the quantities —6, +6. 24. If the quotients of two pairs of numbers are equal,...are proportional, and the first is to the second, as ilic third to the fourth ; and any quantities, espiessed by su<;b numbers, are also proportional ;... | |
 | Robert Simson - 1827 - 546 pagina’s
...called proportionals. 'NB When four magnitudes are pro' portionals, it is usually expressed by saying, the ' first is to the second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple... | |
 | Euclid, Dionysius Lardner - 1828 - 542 pagina’s
...called proportionals. ' NB When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second as the third to the fourth.' The equality of two ratios is expressed by the sign :: or = interposed between them thus, A : B : :... | |
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NB When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater... 
