| William Chauvenet - Geometry - 1898 - 376 pages
...the base ABCDE of the given prism multiplied by its altitude. 39. Corollary. Prisms having equivalent **bases are to each other as their altitudes; prisms...bases; and any two prisms are to each other as the** product* of their bases and altitudes. Any two prisms having equivalent bases and equal altitudes are... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 492 pages
...the volume 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.... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...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 altitudes are equivalent. PROBLEMS OF COMPUTATION. Ex. 643.... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...prisms are to each other as the products of their bases by tht'ir 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 altitudes are equivalent. PROBLEMS OF COMPUTATION. ' Ex.... | |
| Webster Wells - Geometry - 1899 - 424 pages
...other as their bases. 2. Two prisms having equivalent bases are to each other as their altitudes. 3. **Any two prisms are to each other as the products of their bases by their altitudes.** 289 PYRAMIDS. DEFINITIONS. 502. A pyramid is a polyedron bounded by a polygon, called the base, and... | |
| Webster Wells - Geometry - 1899 - 450 pages
...other as their bases. 2. Two prisms having equivalent bases are to each other as their altitudes. 3. **Any two prisms are to each other as the products of their bases by their altitudes.** PYRAMIDS. DEFINITIONS. 502. A pyramid is a polyedron bounded by a polygon, called the base, and a series... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...the given prism is equal to the product of its base by its altitude. That is, 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 their altitudes; prisms having equal altitudes... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...the given prism is equal to the product of its base by its altitude. That is, 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 their altitudes; prisms having equal altitudes... | |
| William James Milne - Geometry - 1899 - 396 pages
...Cor. III. The volume of any prism is equal to the product of its base by its altitude. 544. Cor. IV. **Prisms are to each other as the products of their bases by their altitudes;** consequently, prisms which have equivalent bases are to each other as their altitudes; prisms which... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...given prism is equal to the product of its base by its altitude. That is, V=BxH. o. E . D . 629. COR. **Two prisms are to each other as the products of their bases by** thnr altitudes; prisms having equivalent bases are to each other as their altitudes; prisms having... | |
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