An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in Algebra. Part II, Containing Solid Geometry, with Its Application to the Solution of Problems |
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Page 40
... multiplying its basis by its height ; because the solidity of a right parallelopiped of the same basis and height , to which it is equal , is found ... find the surface of a 40 SOLID GEOMETRY .
... multiplying its basis by its height ; because the solidity of a right parallelopiped of the same basis and height , to which it is equal , is found ... find the surface of a 40 SOLID GEOMETRY .
Page 43
... discovered ? A. 1. The solidity of a triangular right prism is found by multiplying its basis by its height . Thus , the cubic contents of the prism ABCEFG is equal to the area of the basis ABC , expressed in square feet , inches , & c ...
... discovered ? A. 1. The solidity of a triangular right prism is found by multiplying its basis by its height . Thus , the cubic contents of the prism ABCEFG is equal to the area of the basis ABC , expressed in square feet , inches , & c ...
Page 44
... found , by multiplying the sum of the triangles AFE , AED , ACD , ABC , that is , the whole basis ABCDEF by the height GA . 1 * * * QUERY II . From the manner in which you calculate the solidity of a triangular right prism , can you now ...
... found , by multiplying the sum of the triangles AFE , AED , ACD , ABC , that is , the whole basis ABCDEF by the height GA . 1 * * * QUERY II . From the manner in which you calculate the solidity of a triangular right prism , can you now ...
Page 45
... found by multiplying its base by its height . For every oblique prism may , like a right one , be divided into a number of triangular prisms ; the solidities of which are found by multiply- ing their bases by their common height . Q ...
... found by multiplying its base by its height . For every oblique prism may , like a right one , be divided into a number of triangular prisms ; the solidities of which are found by multiply- ing their bases by their common height . Q ...
Page 59
... found by multiplying its basis by its height , and di- viding the product by 3 ; for the answer will be one third of the solidity of a prism of equal ba- sis and height . Remark . Instead of multiplying the basis by the height , and ...
... found by multiplying its basis by its height , and di- viding the product by 3 ; for the answer will be one third of the solidity of a prism of equal ba- sis and height . Remark . Instead of multiplying the basis by the height , and ...
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Common terms and phrases
ABCDEF arcs axis basis ABC basis and height bodies calculate called CAVSAS centre cone ABC consequently convex surface corresponding sides cube root cubic contents cubic feet cubic inches diameter distance divided DOCERE draw equal and parallel equal bases equal heights find the solidity foot found by multiplying frustrum GEORGIA LIBRARIES inferences logarithms lower basis manner mean proportional multiplying its basis oblique parallelopiped paral parallel circles parallel planes perpendicular plane angles Plane Geometry plane MN plane parallel polygon PROBLEM prove pyra pyramid ABCD pyramids of equal QUERY radii radius ramid ratio Remark RERVM right angles right cone right cylinder right parallelopiped right prism similar solid angle Solid Geometry SOLUTION spherical spherical angle square feet straight line third three pyramids tiplying triangle AGC triangular prism triangular pyramid truncated prism ungula UNIVERSITY OF GEORGIA upper basis vertex vertices whole pyramid zone