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" ... 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 also equal to that of the... "
The Teaching of Elementary Mathematics - Σελίδα 233
των David Eugene Smith - 1902 - 312 σελίδες
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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....

A Philosophical and Mathematical Dictionary: Containing an ..., Τόμος 2

Charles Hutton - 1815 - 686 σελίδες
...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 as...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...said to have a ratio to one another, when the less can be multiplied so as to exceed the other. y. The first of four magnitudes is said to have the same...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 also equal...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 10

John Mason Good - 1819 - 910 σελίδες
...and any equimultiples whatever of the second and fourth ; and if when the multiple of the first is less than that of the second, the multiple of the third is also less than that of the fourth ; or if when the multiple of the first is equal to that of the second, the multiple of the third is also equal...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...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....

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 σελίδες
...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, that...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 σελίδες
...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, that...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...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. VI. Magnitudes which have the same ratio are called proportionals....

An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - 1826 - 430 σελίδες
...equimultiples -whatsoever of the second and fourth, if the multiple of the first be less than (hat of the second, the multiple of the third is also less...than that of the fourth ; or, if the multiple of the tirsl be equal to that of the second, the multiple of the third is also equal to that of tbe tourth...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...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 is to the second as the third...




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