## Elements of Geometry |

### From inside the book

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Page 147

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**frustum**which remains , after taking away the smaller pyramid , is equal to the sum of three pyramids , which have for their com- mon altitude the altitude of the**frustum**, and whose bases are the inferior base of the**frustum**, its ... Page 148

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**frustum**of a triangular pyramid . Let FGH - hfg ( fig . 218 ) , be the**frustum**of a triangular pyra- mid ; through the points F , g , H , suppose a plane Fg H to pass , cutting off from the**frustum**the triangular pyramid g - FGH . This ... Page 149

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**frustum**of a triangular pyramid is equal to three pyramids , which have for their common altitude the altitude of the**frustum**, and whose bases are the inferior base of the**frustum**, its superior base , and a mean proportional be- tween ... Page 156

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**frustum**of a pyramid , and let A , B , be the bases ; then AB will be the mean proportion between them , and the solidity of the**frustum**will be } H × ( A + B + √AB ) · Let B be the base of a truncated triangular prism , H , H ' , H ... Page 177

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**frustum**of a cone . It may be conceived to be generated by the revolution of the trapezoid ABHG , of which the angles A and G are right angles , about the side AG . The fixed line AG is called the axis or altitude of the**frustum**, the ...### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence