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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 principles and practice of arithmetic

John Hind - 1856 - 346 sivua
...whatever of the first and third being taken, and any equimultiples whatever of the second said fourth ; if the multiple of the first be greater than that...the third is also greater than that of the fourth ; if equal, equal; and if less, less." This conclusion has been established in the text with respect...

The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 sivua
...D. 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. 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 - 1860 - 380 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's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 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 Propositions of the Fifth Book of Euclid Proved Algebraically: with an ...

George Sturton Ward - 1862 - 104 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 plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 sivua
...taken, and auy equimultiples whatsoever of the second and fourth; if the multiple of the first b« IMS than that of the second, the multiple of the third is also less than th,: of the fourth: or, if the multiple of the first be equal to that of th« second, the...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 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 lees than that of the fourth : or, if the multiple of the first be equal to that of the second, the...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 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: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sivua
...be equal to that of the second, the multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that...the third is also greater than that of the fourth. 6. Magnitudes which have the same ratio are called proportionals. When four magnitudes are proportionals...




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