Books Books 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 and the First Principles of Modern Geometry - Page 170
by Wm. H. H. Phillips - 1878 - 209 pages ## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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... ## Plane and Solid Geometry: Inductive Method

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.... ## Plane and Solid Geometry

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.... ## Solid Geometry, Volumes 6-9

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.... ## The Essentials of Geometry

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... ## The Essentials of Geometry

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... ## Plane and Solid Geometry

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... ## Solid Geometry, Volumes 6-9

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... ## Plane and Solid Geometry

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... 