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" ... 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 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 mechanical Euclid, containing the elements of mechanics and hydrostatics - Σελίδα 18
των William Whewell - 1837
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...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...the third is also greater than that of the fourth. VL Magnitudes which haye the same ratio are called proportionals. NB ' When four magnitudes are proportionals,...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 σελίδες
...taken, 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, the...

An Elementary Treatise on Algebra: Theoretical and Practical

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...taken, 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, the...

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

Peter Nicholson - 1825 - 1046 σελίδες
...of the thirdjs 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...the third is also greater than that of the fourth. VI. Magnitudes which have the same ratio are called proportionals. NB ' When four magnitudes are pro'...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...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 is to the secoud as the third is to the fourth." and fourth,...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...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 is to the second as the third is to the fourth." and fourth,...

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

James Ryan - 1826 - 430 σελίδες
...equal to that of tbe tourth ; or if the multiple of the first he greater than that of the second, (he multiple of the third is also greater than that of the fourth. SCHOLIUM. We shall demonstrate towards the close of this essay, that this definition of Euclid's and...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 σελίδες
...taken, 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, the...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 σελίδες
...is also lets than that vl. 3 -Z. 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...the third is also greater than that of the fourth. VI. Magnitudes which have the same ratio are called proportionals. ' NB When four magnitudes are proportionals,...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 σελίδες
...taken, and any equimultiples whatsoever of the second and fourth ; if the inulliple 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 eq-ial to that of the second, the...




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