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" ... as in a continued scale of proportionals, infinite in number, between the two terms of the ratio ; which infinite number of mean proportionals is to that infinite number of the like and equal... "
Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ... - Page 431
by Charles Hutton - 1812 - 485 pages
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Mathematical tables: contrived after a most comprehensive method: viz, a ...

Henry Briggs, John Wallis, Edmond Halley, Abraham Sharp - Logarithms - 1706 - 64 pages
...which infinite Number of Mean Proportionals is to that infinite Number of the like and equal RatiuncuU between any other two Terms, as the Logarithm of the...is to the Logarithm of the other. Thus if there be fuppofed between i and ю an infinite Scale of Mean Proportionals, whofe Number is IOOOOOC^T. in infinitum;...
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Miscellanea Curiosa: Being a Collection of Some of the Principal ..., Volume 2

Edmond Halley - Science - 1706 - 359 pages
...which infinite Number of mean Proportionals is to that infinite Number of the like and equal .ratiuncvU between any other two terms, as the Logarithm of the...is to the Logarithm of the other. Thus, if there be fuppofed between i and 10 an infinite Scale of mean Proportionals, whofe Number is 100000, ore. in...
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Miscellanea curiosa: Containing a collection of some of the principal ...

James Hodgson, William Derham, Richard Mead, Fontenelle (Bernard Le Bovier, M. de), Royal Society (Great Britain) - Science - 1708
...infinite Number of mean Proportionals is to that infinite Number of the like and equal ratiiojcutx between any other two terms, as the Logarithm of the...is to the Logarithm of the other. Thus, if there be fuppofed hetween i and TO an infinite Scale of mean Proportionals, whofe Number is IGOOOO, &c. . in...
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Mathematical tables: contrived after a most comprehensive method: viz, a ...

Henry Briggs, John Wallis, Edmond Halley, Abraham Sharp - Mathematics - 1717 - 64 pages
...of Mean Proportionals is to that infinite Number of the like and equal RatiuncuU between any otjier two Terms, as the Logarithm of the one Ratio is to the Logarithm of the other. Thus if there be fuppofed between i and ю an infinite Scale of Mean Proportionals, whofe Number is IOOOOOCT-C. in infinit...
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The Philosophical Transactions ... Abridged ..., Volume 1

Royal Society (Great Britain), John Lowthorp, Henry Jones, Andrew Reid, John Gray, John Eames, John Martyn - Science - 1722
...infinite Number of mean Proportionals is to that infinite Number of the like and equal Ratiuncnlae between any other two Terms, as the Logarithm of the...is to the Logarithm of the other. Thus if there be fuppofed between i and io an infinite Scale of mean Proportionals, whofe Number is IQOOOO,&C. in infinitumi...
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Trigonometry - 1733 - 397 pages
...that infinite Number of Ratiunculae, is to another infinite Number of the like and equal Ratiunculae between any other two Terms, as the Logarithm of the one Ratio, is to the Logarithm of the other. But if inftead of fuppofing the Logarithms composed of a Number of equal Ratiunculae proportionable...
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Sherwin's mathematical tables: contriv'd after a most comprehensive method ...

Henry Sherwin - Mathematics - 1742 - 110 pages
...Proportionals is to that infinite number of the like and equal ratiuaculf between any other two terms, as tht Logarithm of the one ratio is to the Logarithm of the other. Thus if there be fuppos'd between i and ю an infinite Scale of mean Proportionals, whofc Number is lOQCtjO&c.iHittßtiitum;...
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Sherwin's mathematical tables: contriv'd after a most comprehensive method ...

Henry Sherwin - Mathematics - 1742 - 110 pages
...infinite Tiumber of the like and equal ratittncula between any other two terms, as the Logarithm oí tie one ratio is to the Logarithm of the other. Thus if there be foppos'd between i and 10 an infinite Scale of mean Proportionals, whofe Number is i ooooo &c. in infinitam...
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The Philosophical Transactions and Collections to the End of the ..., Volume 1

Royal Society (Great Britain)., John Lowthorp - Science - 1749
...infinite Number of mean Proportionals is to that infinite Number of the like and equal Ratiunculae between any other two Terms, as the Logarithm of the...is to the Logarithm of the other. Thus if there be fuppofed between i and ю an infinite Scale of mean Proportionals, whofe Number is 100000, 'ÖV. in...
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Sherwin's mathematical tables: contriv'd after a most comprehensive method ...

Henry Sherwin - Mathematics - 1761 - 110 pages
...mean Proportional is to that infinite number of the like and equal ratiuncults between any two other terms, as the Logarithm of the one ratio is to the Logarithm of the other. Thus if there be fuppos'd between i and ю an infinite Scale of mean Proportionals, whofe Number is 100000, ÖV. in...
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