## Elements of Geometry |

### From inside the book

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Page 145

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**frustum**, and whose bases are the inferior base of the**frustum**, its superior base , and a mean proportional between these bases . Demonstration . Let S - ABCDE ( fig . 217 ) be a pyramid cut Fig . 217 . by the plane abd parallel to the ... Page 146

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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 147

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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 ... Page 154

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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 175

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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 BAD 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 and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence