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" KL: but the cylinder CM is equal to the cylinder EB, and the axis LN to the axis GH; therefore as the cylinder EB to... "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Σελίδα 391
των Euclid - 1765 - 464 σελίδες
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...cylinder CM to the cylinder FD, so is (13. 12.) the axis LN to the axis KL. But the cylinder CM i» equal to the cylinder EB, and the axis LN to the axis GH : Therefore as the cylinder EB to the Сь> К cylinder FD, so is the axis GH to the axis KL : And as the cylinder EB In the cylinder...

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

Robert Simson - 1827 - 513 σελίδες
...parallel to its opposite planes, as the cylinder CM to the cylinder FD, so is* the axis LN to the axis KL: but the cylinder CM is equal to the cylinder EB, and...axis LN to the axis GH; therefore as the cylinder EB to the cylinder FD, so is the axis GH to the axis KL : and as the cylinder EB to the cylinder FD, so...

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

Euclid - 1835 - 513 σελίδες
...its opposite planes, as the cylinder CM to the cylinder FD, so isb the axis LN to the axis KL. But E the cylinder CM is equal to the cylinder EB, and the...axis LN to the axis GH : Therefore as the cylinder EB to the cylinder FD, so is the axis GH „ to the axis KL: And as the A( cylinder EB to the cylinder...

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

Euclides - 1841 - 351 σελίδες
...opposite planes, as the cylinder CM to tbe * 13. 12. cylinder FD, so is* the axis LN to the axis KL; but the cylinder CM is equal to the cylinder EB, and...axis LN to the axis GH; therefore as the cylinder EB to the cylinder FD, so is the axis GH to the axis KL: * 15. 5. and as the cylinder EB to the cylinder...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...opposite planes, as the cylinder CM to the cylinder FD, so is the axis LN to the axis KL : (xn. 13.) but the cylinder CM is equal to the cylinder EB, and...LN to the axis GH • therefore as the cylinder EB to the cylinder FD, so is the axis GH to the axis KL : and as the cylinder EB to the cylinder FD, so...

The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...its opposite planes, as the cylinder CM is to the cylinder FD, so is the axis LN to the axis KL (4): but the cylinder CM is equal to the cylinder EB, and...therefore as the cylinder EB is to the cylinder FD, so is the axis GH to the axis KL: and as the cylinder EB is to the cylinder FD, so is the cone ABG...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...opposite planes, the cylinder CM is to the cylinder FD, as (XII. 13) the axis L .N is to the axis K L. But the cylinder CM is equal to the cylinder EB, and the axis LN to the axis G H. Therefore, the cylinder EB is to the cylinder FD as the axis GH is to the axis KL ; and the cylinder...

The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...its opposite planes, as the cylinder CM is to the cylinder FD, so is the axis LN to the axis KL (b) : but the cylinder CM is equal to the cylinder EB, and...therefore as the cylinder EB is to the cylinder FD, so is the axis GH to the axis KL : and as the cylinder EB is to the cylinder FD, so is the cone ABG...

The Thirteen Books of Euclid's Elements

...planes, therefore, as the cylinder CM is to the cylinder FD, so is the axis LN to the axis KL. [XH. 13] But the cylinder CM is equal to the -cylinder EB,...therefore, as the cylinder EB is to the cylinder FD, so is the axis GH to the axis KL. But, as the cylinder EB is to the cylinder FD, so is the cone ABG...
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