## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |

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**Prism**. The two equal and parallel faces are called the bases of the**prism**, usually referred to as the lower base and the upper base ; and the parallelo- grams which make up the other faces , taken together , constitute the lateral ... Page 153

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**prism**, whose bases are parallelo- grams , is called a Parallelopipedon . When all the faces are rectangles it is called a Rectangular Parallelopipedon . When all the faces are squares it is called a Cube , or regular hexaedron . VI . A ... Page 154

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**prism**; their bases AB , BC , CD , etc. , taken together , make up the perimeter of the**prism's**base : hence the sum of these rectangles , or the lateral surface of the**prism**, is equal to the perimeter of its base multi- plied by its ... Page 155

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**prisms**, which have equal bases and equal altitudes , are equal . For , since the side AB is equal to ab , and the altitude BG to bg , the rectangle ABGF will be equal to abgf , and in the same way , the rectangle BGHC will be equal to ... Page 156

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**prism**ABCI , let the sections NOPQR , STVXY be formed by parallel planes ; then will these sections be equal ...**prism**: hence NO is equal to ST . For like reasons , the sides OP , PQ , QR , etc. , of the section NOPQR , are ...### Other editions - View all

### Common terms and phrases

a+b+c ACē altitude angles equal apothem bisect centre chord circ circumference cone consequently corresponding cosec Cosine Cotang cylinder decimal denote described diameter dicular distance divided draw drawn equation equivalent exterior angles feet figure formed frustum give given line greater half hence homologous sides hypotenuse inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right-angled triangle Scholium secant sector similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang tangent THEOREM three sides triangle ABC triangular prism vertex volume