| Robert Simson - 1762 - 466 pagina’s
...of a lefs, when the greater is meafured by the lefs, that is, ' when the greater con' tains the lefs **a certain number of times exactly.' III. " Ratio is a mutual relation of two magnitudes of the** fame kind to see N. " one another, in refpect of quantity." IV. Magnitudes are faid to have a ratio... | |
| George Baron - 1804
...by seven dots placed in the annexed straight line A. § 2. A greater number is a multiple of a less, **when the greater contains the less a certain number of * times exactly.** Thus the number 12 repre- B .... | .... | .... sented by B is a multi- C . . . . pie of 4 represented... | |
| John Playfair - 1806 - 311 pagina’s
...times, exactly, in the greater. II. A greater magnitude is said to be a multiple of a less, when die **greater is measured by the less, that is, when the...same kind, to one another, in respect of quantity.** Hook V. Magnitudes are said to be of the same kind, when the less can be multiplied so as to exceed... | |
| Robert Simson - 1806 - 518 pagina’s
...contained a certain number of times exactly in the greater,' II. A greater magnitude is said to be **a multiple of a less, when the greater is measured...contains the less a certain number of times exactly.'** HI. ' Ratio is a mutual relation of two magnitudes of the same kind Ste N ' to one another, in respect... | |
| Isaac Dalby - 1807
...DEFINITIONS. 65. THE following Definition of Ratio it usually given in the 5th. Book of Euclid's Elements. " **Ratio is a mutual relation of two -magnitudes of the...same kind to one another in respect of quantity."** This definition is frequently objected to as imperfect and obscure. And it seems difficult to acquire... | |
| Sir John Leslie - 1809 - 493 pagina’s
...author of the Elements has likewise given what Dr Barrow calls a metaphysical definition of ratio : " **Ratio is a mutual relation of two magnitudes of the...same kind to one another, in respect of quantity"** This sentence, as it now stands, appears either tautological, or altogether devoid of meaning ; and... | |
| Euclid - 1810 - 518 pagina’s
...contained a certain number of times exactly in the greater.' II. A greater magnitude is said to be **a multiple of a less, when the greater is measured...the less a certain number of times exactly.' III.** 1 Ratio is a mutual relation of two magnitudes of the same kind See Nbte. ' to one another, in respect... | |
| John Mason Good - 1813
...a, certain number of tiuies exactly in the greater. 2. Л greater magnitude is said to be a muftipfe **of a less, when the greater is measured by the less,...that is, when the greater contains the less a certain** rtu «her of times exactly. 3. flatio is a mutual relation of two magnitudes of the same kind to one... | |
| Euclides - 1814
...contained a certain number of times exactly ' in the greater." II. A greater magnitude is said to be **a multiple of a less, when the greater is measured...is a mutual relation of two magnitudes of the same** See N. ' kind to one another, in respect of quantity.' IV. Magnitudes are said to have a ratio to one... | |
| Euclides - 1816 - 528 pagina’s
...contained a certain number of times exactly ' in the greater.' II. A greater magnitude is said to be **a multiple of a less, when the greater is measured...the less a certain number of times ' exactly.' III.** c Ratio is a mutual relation of two magnitudes of the same See N. ' kind to one another, in respect... | |
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