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Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes; prisms having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal...
Elements of Geometry: Plane and Solid - Page 272
by John Macnie - 1895 - 374 pages

## The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...altitude. 548. COROLLARY. Two prisms having equivalent bases are to each other as their altitudes ; two prisms having equal altitudes are to each other as their bases ; and any two prisms are to each other as the products of their bases by their altitudes. Two prisms having...

## The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...of their bases, or the base of the given prism, multiplied by the common altitude. 613. COR. 2. Two prisms are to each other as the products of their bases and altitudes; two prisms having equivalent bases are to each other as their altitudes ; two prisms of the same altitude...

## The Elements of Solid Geometry

William C. Bartol - Geometry, Solid - 1893 - 106 pages
...accordingly the theorem of (90) must be true alike for the prism and for the cylinder (88). 92. COROLLARY 2. Prisms are to each other as the products of their bases and altitudes. When the altitudes are equal) the prisms are to each other as their bases. When the bases are equal,...

## Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...582. Cor. The volumes of two prisms are to each other as the products of their bases and altitudes ; prisms having equivalent bases are to each other as...having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal altitudes are equivalent. 596. The lateral area of a regular...

## Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...COR. I. Two prisms having equivalent bases and equal altitudes are equivalent. 678. COR. II. Any two prisms are to each other as the products of their bases and altitudes. Hint. — Prove as in § 387. 67.9. COR. III. Two prisms having equivalent bases are to each other...

## Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...COR. I. Two prisms having equivalent bases and equal altitudes are equivalent. 643. COR. II. Any two prisms are to each other as the products of their bases and altitudes. Hint.— Prove as in ^ 368. H44. COR. III. Two prisms having equivalent bases are to each other as...

## Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 490 pages
...of any prism ? Write the general truth, and call it Prop. XII. 493. Cor. Can you show that any two prisms are to each other as the products of their bases and altitudes ? Compare two prisms having equivalent bases. Compare two prisms having — altitudes. In figure Prop....

## Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...V=BXH. QED 629. COR. Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as...having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal altitudes are equivalent. PROBLEMS OF COMPUTATION. Ex. 643....