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" ... 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, the multiple of the third is... "
Lectures on the Principles of Demonstrative Mathematics - Side 96
av Philip Kelland - 1843 - 147 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...second, the multiple of the third is also equal to that of the fourth ; or, if the multiple of Book V. the first be greater than that of the second, the multiple of the VV^T^ third is also greater than that of the fourth. VI. Magnitudes which have the same ratio are called...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 522 sider
...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." This definition, however perplexed and verbose,...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 542 sider
...be equal to that of the second, the multiple of the third is also equal to that of the fourth j or, if the multiple of the first be greater than that of the second, the multiple o{ the third is also greater than that of the fourth." This. definition, however perplexed and verbose,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 sider
...equal to that of the second, the multiple of the third is also equal to that of the fourth^ Book V. or, if the multiple of the first be greater than that of the V^^VN./ second, the multiple of the third is also greater than that of the fourth. v*. Magnitudes which...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...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. 6. Magnitudes which have the same ratio are called proportionals....
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A Philosophical and Mathematical Dictionary: Containing an ..., Volum 2

Charles Hutton - 1815 - 686 sider
...multiple of the third is also equal to that of the fourth ; or if when the multiple of the first is greater than that of the second, the multiple of the third is also greater than that of the fourth : then, the first X)f the four magnitudes shall be to the second...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 10

John Mason Good - 1819 - 910 sider
...multiple of the third is also equal to that of the fourth ; or if when the multiple of the first is greater than that of the second, the multiple of the third is also greater than that of the fourth : then, the first of the four magnitudes shall be to the second...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 sider
...the multiple of the third is also equal to that of the fourth; or, if the multiple of the * SBP note. first be greater than that of the second, the multiple of the third is also greater than that of the fourth. VL Magnitudes which haye the same ratio are called proportionals....
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 sider
...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. SCHOLIUM. We shall demonstrate towards the close of this essay,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 sider
...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. SCHOLIUM. We shall demonstrate towards the close of this essay,...
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