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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 - Sivu 18
tekijä(t) William Whewell - 1837
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sivua
...taken, and any equimultiples whatever of the second and the 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, and if the multiple of the first be equal to that of the second, the...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sivua
...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 Treatise on Elementary Algebra

James Hamblin Smith - 1869 - 412 sivua
...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...

Elementary Algebra

James Hamblin Smith - 1870 - 478 sivua
...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...the third is also greater than that of the fourth." • . We shall now shew, first, how to deduce Euclid's test of the equality of ratios from the Algebraic...

Elementary Algebra

James Hamblin Smith - 1870 - 452 sivua
...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 tho second, the...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 sivua
...being taken, and any equimultiples of the second and fourth, if, when the multiple of the first is greater than that of the second, the multiple of the third is greater than that of the fourth, and when the multiple of the first is equal to that of the second,...

Elements of geometry, with ... trigonometry

André Darré - 1872 - 226 sivua
...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...

Euclid, book v. proved algebraically, so far as it relates to commensurable ...

Charles Lutwidge Dodgson - 1874 - 96 sivua
...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...

Euclid, Book V. Proved Algebraically, So Far as it Relates to Commensurable ...

Euclid, Lewis Carroll - 1874 - 80 sivua
...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, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sivua
...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...




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