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" Solid parallelepipeds contained by parallelograms equiangular to one another, each to each, that is, of which the solid angles are equal, each to each, have to one another the ratio compounded of the ratios of their sides. The "
The Thirteen Books of Euclid's Elements - Page 347
by Euclid, Johan Ludvig Heiberg - 1908
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 pages
...straight line has to the fourth the triplicate ratio of that which it has to the second. PROP. D. THEOR. SOLID parallelepipeds contained by parallelograms...equal, each to each, have to one another the ratio which is the same with the ratio compounded of the ratios of their sides.* Let AB, CD be solid parallelepipeds,...
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Appendix to Euclid's Elements

I. Newton - 1825
...to each other as the squares of the homologous sides of. their bases; PROP. XXXIII. PROP. D. . : , ; .Solid parallelepipeds contained by parallelograms...equal, each to each, have to one another the ratio which . is the same with the ratio compounded of > the - ratios of their sides. PROP. XXXIV. The bases...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...has to the second. PROP. D. THEOREM. Solid parallelepipeds contained by parallelograms equiangular lo one another, each to each, that is, of which the solid angles are equal, each to each, havt to one another the ratio which is ike tame müh the ratio compounded of the ratios of their sides....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...the second. PROP. D. THEOR. Solid parallelopipeds which are contained by parallelo- 9* el *. grams equiangular to one another, each to each, that is,...equal, each to each, have to one another the ratio which is the same with the ratio compounded of the ratios of their sides, Let AB, CD be solid parallelopipeds,...
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The Elements of Euclid: viz, the first six books, together with the eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 516 pages
...straight line has to the fourth the triplicate ratio of that which it has to the second. PROP. D. THEOR. SOLID parallelepipeds contained by parallelograms...solid angles are equal, each to each, have to one auother the ratio which is the same with the ratio compounded of the ratios of their sides.* Let AB,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...second. PROPOSITION D. THEOR.—\nlnl parallelepipeds which are contained by paral- See N. lelograms equiangular to one another, each to each, that is,...equal, each to each, have to one another the ratio which is the same with the ratio compounded of the ratios of their sides. •31. 11. A. 5. ' Si. 1I....
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The Elements of Euclid

Euclid - Geometry - 1838 - 416 pages
...fourth the triplicate ratio of that which it has to the second. PROP. D. THEOR. SOLID parallelopipeds contained by parallelograms equiangular to one another,...equal, each to each, have to one another the ratio •which is the same with the ratio compounded of the ratios of their sides.* Let AB, CD be solid parallelopipeds,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...straight line has to the fourth the triplicate ratio of that which it has to the second. PROP. D. THEOR. Parallelepipeds contained by parallelograms equiangular...equal, each to each, have to one another the ratio which is the same with the ratio compounded of the ratios of their sides. Let AB, CD be parallelopipeds,...
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

Euclides - Mathematics - 1845
...fourth the triplicate ratio of that which it has to the second. PROP. D. TIIEOR.—Parallelepipeds contained by parallelograms equiangular to one another,...equal, each to each, have to one another the ratio which is the same with the ratio compounded of the ratios of their sides. \ \ ( \ H \ \ G \ E D \ M...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...triplicate atio of that which it has to the second. PROPOSITION D. THEOREM. Solid parallelepipeds which are contained by parallelograms equiangular to one another,...each to each, that is, of which the solid angles are qual, each to each, have to one another the ratio which is the same with he ratio compounded of the...
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