 | Robert Simson - Trigonometry - 1762 - 466 pages
...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 - Mathematics - 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... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...' when the less is *•- v"~* • contained a certain number of times exactly in the greater,' II. A greater magnitude is said to be a multiple of a...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... | |
 | John Playfair - Euclid's Elements - 1806 - 320 pages
...greater, that is, when the less is contained a certain number of 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 greater contains the less a certain number of... | |
 | Isaac Dalby - Mathematics - 1807 - 476 pages
...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 - Geometry, Plane - 1809 - 493 pages
...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 - Geometry - 1810 - 518 pages
...greater, that is, ' when the less • is contained a certain number of times exactly in the greater.' II. A greater magnitude is said to be a multiple of a...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 - 722 pages
...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 - 558 pages
...is,' when s -*v"*' ' the less is contained a certain number of times exactly ' in the greater." II. A greater magnitude is said to be a multiple of a...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 pages
...that is, 'when ^v-" * the less is contained a certain number of times exactly ' in the greater.' II. A greater magnitude is said to be a multiple of a...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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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 
