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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
Koko teos - Tietoja tästä kirjasta

The Elements of Euclid, with Many Additional Propositions and Explanatory ...

Euclid - 1876 - 240 sivua
...second, the multiple of the third is also equal to that of the fourth : or if the multiple of the Erst be greater than that of the second, the multiple of...the third is also greater than that of the fourth. SCHOLIUM. To render this definition as clear as possible, it may be symbolically expressed as follows...

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

Robert Potts - 1876 - 446 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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 436 sivua
...the third is also less than that of the fourth ; or, " If the multiple of the first he equal to that of the second, the multiple of the third is also equal...the third is also greater than that of the fourth." PROPOSITION XIII. 273. If four quantities be proportional according to the algebraical definition,...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 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, with brief notices of its history

Robert Potts - 1879 - 668 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...

Elementary algebra: with brief notices of its history

Robert Potts - 1879 - 672 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 for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 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...

Elements of Geometry

George Albert Wentworth - 1881 - 266 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. To which is now added an appendix

James Hamblin Smith - 1883 - 466 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 thau that of the fourth : or, " If the multiple of the first be equal to that of the second, the...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 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...




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