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" IF any number of magnitudes be equimultiples of as many, each of each ; what multiple soever any one of them is of its part, the same multiple shall all the first magnitudes be of all the other. "
The Elements of Mathematical Analysis, Abridged: For the Use of Students ... - Page 14
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
...greater than the fame multiple of another, is greater than that other magnitude. PROP. I. THE OR. JF any number of magnitudes be equimultiples of as many,...any one of them is of its part, the fame multiple fhall all the firft magnitudes be of all the other. Let any number of magnitudes AB, CD be equimultiples...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...than the fame multiple of another, is greater than that other magnitude. Book. V. PRO PI THEO R. TF any number of magnitudes be equimultiples of as many,...any one of them is of its part, the fame multiple fhall all the firft magnitudes be of all the other. Let any number of magnitudes AB, CD be equimultiples...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...is greater than the fame multiple of another, is greater than that other magnitude. PRQ PI THEO R. IF any number of magnitudes be equimultiples of as...any one of them is of its part, the fame multiple mall all the fir ft magnitudes be of all the other. • • Let any number of magnitudes AB, CD be...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...greater than that other magnitude. PROP. I. THEO R. IF any number of magnitudes be equimultiples of a* many, each of each ; what multiple foever any one? of them is of its part, the fame multiple fhall all the? firft' magnitudes be of all the other. Let any number of magnitudes AB, CD be equimultiples...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 296 pages
...antecedent and its confequent, is compared, either with the confequents, or the antecedents. PROP. .PROP. I. THEOREM. If any number of magnitudes be equimultiples of as many others, each of each ; whatever multiple any one of them is of its part, the fame multiple will all...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...is greater than the fame multiple of another, is greater than that other magnitude. PROP. I. THE OR. IF any number of magnitudes be equimultiples of as...any one of them is of its part, the fame multiple fhall all the firft magnitudes be of all the ojthet. Let any number of magnitudes AB, CD be equimultiples...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...is greater than the same multiple of another, is greater than that other magnitude. PROP. I. THEOR. IF any number of magnitudes be equimultiples of as many, each of each; what multiple soever any one of them is of its part, the same multiple shall ail the first magnitudes be of all the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...multiple isgreaterthan the same multiple of another, is greater than that other magnitude. PROP. I. THEOR. IF any number of magnitudes be equimultiples of as many, each of each ; what multiple soever any one of them is of its part, the same multiple shall all the first magnitudes be of all the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...is greater than the same multiple of another, is greater than that other magnitude. PROP. I. THEOR. If any number of magnitudes be equimultiples of as many, each of each; what multiple soever any one of them is of its part, the same multiple shall all theJirst magnitudes be of all the...
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The Elements of Euclid

Euclid - Geometry - 1838 - 470 pages
...greater than the same multiple of another, is greater than that other magnitude. PROP. I. THEOR. Ir any number of magnitudes be equimultiples of as many, each of each ; what multiple soever any one of them is of its part, the same multiple shall all the first magnitudes be of all the...
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