## 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 124

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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 175

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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 176

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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 177

... surface in BPD , the straight line BD , will always be less than BPD ; therefore the plane surface OABCD is less than the surrounding surface PABCD . 514. II . A

... surface in BPD , the straight line BD , will always be less than BPD ; therefore the plane surface OABCD is less than the surrounding surface PABCD . 514. II . A

**convex surface**OABCD ( fig . 255 ) is less than any Fig . 255 . other surface ...### 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