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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
An Elementary Treatise on Algebra, Theoretical and Practical ... - Σελίδα 340
των James Ryan, Robert Adrain - 1835 - 361 σελίδες
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...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...

## The Mathematical Correspondent: Containing, New Elucidations ..., Τόμος 1

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...

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

Euclid, Robert Simson - 1806 - 518 σελίδες
...' 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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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

## A Course of Mathematics ...: Designed for the Use of the Officers ..., Τόμος 1

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...

## Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 σελίδες
...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...

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

Euclid - 1810 - 518 σελίδες
...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...

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

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...

## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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...

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

Euclides - 1816 - 528 σελίδες
...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...