## Elements of Geometry and Trigonometry |

### From inside the book

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Page 143

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**frustum**of a pyramid . E S C F B 12. The altitude of a pyramid is the perpendicular let fall from the vertex upon the plane of the base , produced if necessary . 13. A pyramid is triangular , quadrangular , & c . according as its base ... Page 147

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**frustum**of a regular pyra- mid is equal to half the perimeters of its upper and lower bases multiplied by its slant ...**frustum**ABCDE - d is formed by the equal trapezoids EAae , ABba , & c . and the perpendicular distance between the ... Page 161

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**frustum**that remains when the small pyramid is taken away , is equi- valent to the sum of three pyramids having for their common altitude the altitude of the**frustum**, and for bases the lower base of the**frustum**, the upper base , and a ... Page 162

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**frustum**of a triangular pyramid , it will be true of every other . Let FGH - hfg be the**frustum**of a tri- angular pyramid , having parallel bases : through the three points F , g , H , pass the plane FgH ; it will cut off from the ... Page 163

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**frustum**: as to its base FKH , we are now to show that this is a mean proportional between the bases FGH and fgh ...**frustum**of a triangular pyramid is equivalent to three pyramids whose common altitude is that of the**frustum**and whose ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex