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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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Miscellanea Curiosa: Being a Collection of Some of the Principal ..., Volume 2

Edmond Halley - Science - 1706 - 412 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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Mathematical Tables: Contrived After a Most Comprehensive Method: Viz, a ...

Henry Sherwin - Logarithms - 1706 - 430 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: Containing a Collection of Some of the ..., Volume 2

Edmond Halley - Encyclopedias and dictionaries - 1708 - 414 pages
...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 the Most Comprehensive Method: Viz. a ...

Henry Sherwin - 1717 - 444 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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Philosophical Transactions and Collections, to the End of the Year ..., Volume 1

Royal Society (Great Britain) - Science - 1722 - 722 pages
...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 ...

Euclid, John Keill - Geometry - 1733 - 444 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 - Logarithms - 1742 - 438 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 ...

1742 - 468 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) - Science - 1749 - 674 pages
...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 - Logarithms - 1761 - 442 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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