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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... "
An Elementary Treatise on Algebra, Theoretical and Practical ... - Σελίδα 7
των James Ryan, Robert Adrain - 1824 - 516 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 σελίδες
...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...

Elementary Illustrations of the Celestial Mechanics of Laplace ..., Μέρος 1

Thomas Young, Pierre Simon marquis de Laplace - 1821 - 344 σελίδες
...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...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 516 σελίδες
...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...

An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - 1826 - 383 σελίδες
...+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 ;...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 σελίδες
...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...

The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 324 σελίδες
...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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