## Elements of Geometry |

### From inside the book

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**convex surface**of the prism . The equal straight lines AF , BG , CH , & c . , are called the sides of the prism . 370. The altitude of a prism is the distance between its bases , or the perpendicular let fall from a point in the ... Page 126

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**convex surface**of the pyramid . 376. The altitude of a pyramid is the perpendicular let fall from the vertex upon the plane of the base , produced if necessary . 377. A pyramid is triangular , quadrangular , & c . , according as the ... Page 177

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**convex surface**of the cylinder . The fixed line AB is called the axis of the cylinder . Every section KLM , made by a plane perpendicular to the axis , is a circle equal to each of the bases ; for , while the rect- angle ABCD turns ... Page 178

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**convex surface**of the cylinder ; therefore the prism and cylinder touch each other along these lines . 512. In like manner , if ABCD ( fig . 253 ) be a polygon cir- cumscribed about the base of a cylinder , and upon the base ABCD a ... Page 179

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**convex surface**OABCD is less than any which encloses OABCD and which is terminated by the same perimeter ABCD . 515. Scholium . By a course of reasoning entirely similar it may be shown , 1. That , if a**convex surface**terminated by two ...### 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