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" ... and any equimultiples whatsoever of the second and fourth, if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or, if the multiple of the first be equal to that of the second,... "
Elements of geometry, with ... trigonometry - Page 62
by André Darré - 1872
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater than that of the second, the multiple of die third is also greater than that of the fourth."...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth....
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth."...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - Geometry, Modern - 1820 - 488 pages
...According to Euclid, " the first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any equimultiples...be equal to that of the second, the multiple of the thirjj is also equal to that of the fourth ; or, if the multiple of the first be greater than that...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...exceed the other. V. The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples...fourth; or, if the multiple of the first be equal to thatof the second, the multiple of the third is also equal to that of the fourth; or, if the multiple...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth....
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth : or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth....
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A Treatise on Algebra

George Peacock - Algebra - 1830 - 732 pages
...the multiple of the second, the multiple of third will be greater than the multiple of the fourth : if the multiple of the first be equal to that of the second, the multiple of the third will be equal to that of the fourth : and if the multiple of the first be less than that of the second,...
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