 | John Dougall - 1810 - 554 σελίδες
...forming its exterior faces are isosceles, and equal to one another. Every pyramid is one third part of a prism on the same base and of the same altitude, as maybe seen by examming Fig. 14, Plate 6, which represents a triangular prism whose bases are DEF... | |
 | Robert Potts - 1879 - 668 σελίδες
...the surface of the tetrahedron. Since the content of any pyramid is equal to one-third of the content of a prism on the same base and of the same altitude, the contente of the four equal pyramids can be found, and the content, or volume, of the tetrahedron... | |
 | Robert Potts - 1879 - 672 σελίδες
...the surface of the tetrahedron. Since the content of any pyramid is equal to one-third of the content of a prism on the same base and of the same altitude, the contents of the four equal pyramids can be found, and the content, or volume, of the tetrahedron... | |
 | Great Britain. Education Department. Department of Science and Art - 1886 - 640 σελίδες
...perpendicular to the plane ABC. (18.) 5. Prove that the volume of a pyramid is one-third the volume of a prism on the same base, and of the same altitude. Two planes are drawn parallel to the base of a given cone so as to trisect its altitude; find the volume... | |
 | Henry Martyn Taylor - 1895 - 708 σελίδες
...make up the prism ABCDEF. COROLLAEY 1. The volume of a tetrahedron is equal to one third the volume of a prism on the same base and of the same altitude. COROLLAHY 2. Prisms on equal bases and of equal altitudes have equal volumes. COROLLARY 3. The plane... | |
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Since the content of any pyramid is equal to one-third of the content of a prism on the same base and of the same altitude, the contente of the four equal pyramids can be found, and the content, or volume, of the tetrahedron determined. 