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" Two rectangular parallelopipeds having equal bases are to each other as their altitudes. Let AB and A'B' be the altitudes of the two rectangular parallelopipeds P and P', which have equal bases. "
Elements of Geometry: Geometry of space - Page 296
by Andrew Wheeler Phillips, Irving Fisher - 1898
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...respectively equivalent to them, are equivalent to each other. — _ : 2_ PROPOSITION VIII— THEOREM. 28. Two rectangular parallelopipeds having equal bases are to each other as their altitudes. Let P and Q be two rectangular parallelopipeds having equal bases, and let AB and CD be their altitudes....
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...are respectively, equivalent to them, are equivalent to each other. PROPOSITION VIII—THEOREM. 28. Two rectangular parallelopipeds having equal bases are to each other as their altitudes. Let P and Q be two rectangular parallelopipeds having equal bases, and let AB and CD be their altitudes....
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Mensuration of lines, surfaces, and volumes

David Munn - 1873 - 160 pages
...right angles 71 XL To find the area of a spherical triangle 71 PART III.—VOLUMES. PROPOSITION PAGB I. Two rectangular parallelopipeds having equal bases are to each other as their altitudes 78 II. Two rectangular parallelopipeds having equal altitudes, are to each other as their bases So...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...rectangular parallelopiped AIK DP QES which has an equivalent base and the same altitude. THEOREM VII. 32 1 Rectangular parallelopipeds having equal bases are to each other as their altitudes. Let M and N be rectangular parallelopipeds having equal bases, AB, CD, whose altitudes are AE and CF...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...rectangular parallelopiped A IKD-P Q RS which has an equivalent base and the same altitude. THEOREM VII. 32. Rectangular parallelopipeds having equal bases are to each other as their altitudes. Let M and N be rectangular parallelopipeds having equal bases, AB, CD, whose altitudes are AE and CF;...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1882 - 442 pages
...and altitudes are equal). .-.ABC-F- ADC-H. QE D 294 GEOMETRY. BOOK VII. PROPOSITION VIL THEOREM. 533. Two rectangular parallelopipeds having equal bases are to each other as their altitudes. B В' pt 7 Let AB and A'B' be the altitudes of the two rectangular parallelopipeds, P, and P, having...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...are respectively equivalent to them, are equivalent to each other. PROPOSITION VII.—THEOREM. 24. Two rectangular parallelopipeds, having equal bases are to each other as their altitudes. Let P and Q be two rectangular parallelopipeds having equal bases, and let AB and CD be their altitudes....
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...they are equal. (588) . - . prism ABC-G is equivalent to prism ADC-GQED Proposition 8. Theorem. 601. Two rectangular parallelopipeds having equal bases are to each other as their altitudes. Hyp. Let AB and CD be the altitudes of two rectangular parallelopipeds, P and Q, having equal bases....
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 466 pages
...But these two right prisms are equal. § 565 .-. A BC-F— ACD-HQED PROPOSITION VII. THEOREM. 570. Two rectangular parallelopipeds having equal bases are to each other as their altitudes. <* /A 7 Let AB and A'B' be the altitudes of the two rectangular parallelopipeds P and P', having equal...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...are respectively equivalent to them, are equivalent to each other. PROPOSITION VII.—THEOREM. 24. Two rectangular parallelopipeds having equal bases are to each other as their altitudes. Let P and Q be two rectangular parallelopipeds having equal bases, and let AB and CD be their altitudes....
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