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" If magnitudes, taken jointly, be proportionals, they shall also be proportionals when taken separately: that is, if two magnitudes together have to one of them, the same ratio which two others have to one of these, the remaining one of the first two shall... "
The Elements of Mathematical Analysis, Abridged: For the Use of Students ... - Page 23
by Nicolas Vilant - 1798 - 170 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...magnitudes taken jointly be proportionals, they fliall A alfo be proportionals when taken feparately, that is, if two magnitudes together have to one of...to one of thefe, the remaining one of the firft two fhall have to the other, the fame ratio which the remaining one of the laft two has to the other of...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...magnitudes taken jointly be proportionals, they fhall alfo be proportionals when taken feparately ; tjiat is, if two magnitudes together have to one of them, the fame ratio which two others have to one of thele, the remaining one of the firft two fhall have to the other, the fame ratio which the remaining...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...magnitudes taken jointly be proportionals, they ,•• fhall alfo be proportionals when taken frparately, that is, if two magnitudes together have to one of...them, the fame ratio which two others have to one of thefc, the remaining one of the firft two fhall have to the ,other, the fame ratio which the remaining...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...magnitudes, taken jointly, be proportionals, they fhall alfo be proportionals when taken feparately ; that is, if two magnitudes together have to one of...them the fame ratio which two others have to one of thelc, the remaining one of the firfl two fhall have to the other the fame ratio which the remaining...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...magnitudes taken jointly be proportionals, they JL fhall alfo be proportionals when, taken feparately, that is, if two magnitudes together have to one of...to one of thefe, the remaining one of the firft two fhall have to the other, the fame ratio which the remaining one of the laft two has to the other of...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...magnitudes, taken jointly, be proportionals, they shall also be proportionals when taken separately; that is, if two magnitudes together have to one of them the same ratio which two others have to one of these, the remaining one of the first two shall have to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...magnitudes, taken jointly, be proportionals, they shall also be proportionals when taken separately ; that is, if two magnitudes together have to one of them the same ratio which two others have to one of these, the remaining one of the first two shall have to...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...magnitudes, taken jointly, be proportionals, they shall also be proportionals when taken separately ; that is, if two magnitudes together have to one of them the same ratio which two others hare to one of these, the remaining one of the first two shall have to...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...magnitudes taken jointly be proportionals, they shall also be proportionals when taken separately ; that is, if two magnitudes together have to one of them the same ratio which two o\\\ets,\\&NeAo of these, the remaining oue ot the 10 the other the same ratio...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...magnitudes taken jointly be proportionals, they shall also be proportionals when taken separately ; that is, if two magnitudes together have to one of them the same ratio which two others have to oneof these, the remaining one of the first two shall have to the...
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