 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...submultiple of a greater, when the less is contained a certain number of times exactly in the greater. 2. A greater magnitude is said to be a multiple of a...contains the less a certain number of times exactly. Schol. 1. — The line BO (I. App., schol. 1) is a measure of the line AB, and also of the line AD,... | |
 | William Alexander Willock - 1875 - 196 σελίδες
...Proportion, which will be in constant use. RATIO. Ratio is Relative Magnitude ; or, as Euclid defines it, " A mutual relation of two magnitudes of the same kind to one another, in respect of quantity." The first of the two magnitudes in a ratio is termed the Antecedent, and the second the... | |
 | Robert Potts - 1876 - 446 σελίδες
...greater ; that is, ' when the less is contained a certain number of times exactly in the greater.' n. A greater magnitude is said to be a multiple of a...contains the less a certain number of times exactly.' m. " Ratio is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity."... | |
 | George Elliot Voyle, G. de Saint-Clair-Stevenson - 1876 - 676 σελίδες
...property under their charge, if committed through carelessness, &c. Batió — In mathematics, the mutual relation of two magnitudes of the same kind to one another, in respect of quantity. Ratios are divided into arithmetical and geometrical. An arithmetical ratio consists in... | |
 | Thomas Hunter - 1878 - 142 σελίδες
...when the less is exactly contained a certain number of times in the greater. 2. A greater magnitude is a multiple of a less when the greater is measured...less; that is, when the greater contains the less an exact number of times. 3. Ratio is the relation of two magnitudes of the same kind, the one to the... | |
 | Āryabhaṭa - 1878 - 100 σελίδες
...greater magnitude is said to be a multiple of a lees, when the greater is measured by the less, that ia, when the greater contains the less a certain number of times exactly. XXIX. The mutual relation of two magnitudes of the same kind to one another, in respect of quantity,... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...the greater; that is, when the less is contained a certain number of times exactly in the greater. 2. A greater magnitude is said to be a multiple of a...contains the less a certain number of times exactly. 3. Ratio is a mutual relation of two magnitudes of the same kind to one another in respect of quantity.... | |
 | Euclides - 1881 - 236 σελίδες
...signifies the same as part or aliquot part, and conveys a more distinct notion of the meaning. II. A greater magnitude is said to be a multiple of a less, when the Kj'ater is measured by the less ; that is, when the greater contains the reiB a certain number of times... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...greater ; that is, when the less is contained a certain number of times exactly in the greater. 2. A greater magnitude is said to be a multiple of a...contains the less a certain number of times exactly. 3. Ratio is a mutual relation of two magnitudes of the same kind to one another in respect of quantity.... | |
 | Leonard Marshall - 1883 - 184 σελίδες
...circumference of each wheel? V.— RATIO, PROPORTION, AND VARIATION. 1. Ratio is defined by Euclid as the mutual relation of two magnitudes of the same kind to one another in respect of quantity (see Bk. V. Def. iii.). In Algebra the ratio of a : b is measured by the . , .. antecedent... | |
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A LESS magnitude is said to be a part of a greater magnitude, when the less measures the greater; that is, ' when the less is contained a certain number of times 
