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

Euclid, Robert Simson - 1806 - 518 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...

Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 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 ...

Euclid - 1810 - 518 σελίδες
...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 have the same ratio are called proportionals. NB ' When four magnitudes are proportionals,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...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 Philosophical and Mathematical Dictionary: Containing an ..., Τόμος 2

Charles Hutton - 1815
...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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 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 multiple...

Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 432 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...

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

John Mason Good - 1819
...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 as the rhird to the fourth." To RATIOCINATE....

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...third is also equal to that of the fourth ; or, if the multiple of the first be greater than thttoftbe second, the multiple of the third is also greater than that of the fourth. fi. Magnitudes which have the same nlioire called proportionals. NB When finir uiuiitudes are proportionals,...

Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - 1820 - 465 σελίδες
...fourth; or, if the multiple of the first be equal to that of the second, the multiple of the thirjj is also equal to that of the fourth ; or, if the multiple...the third is also greater than that of the fourth." This definition, however perplexed and verbose, is yet easily derived from that which appears to furnish...




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