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

### From inside the book

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**prism**. III . A**prism**is**triangular**, quadrangular , pentagonal , etc. , according as the bases are triangles , quadrilaterals , penta- gons , etc. IV . When the edges formed by the intersec- tion of the lateral faces of a**prism**are ... Page 153

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**prism**, whose bases are parallelo- grams , is called a Parallelopipedon . When all the faces are rectangles it is ...**triangular**planes meeting in a point , called the vertex , and terminating in the sides of a poly- gon , forming ... Page 154

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**triangular**faces of two similar tetraedrons are similar triangles each to each ( B. III . , D. II . ) . Any two ...**prism**is equal to the perimeter of its base multiplied by its altitude . For this surface is equal to the sum of ... Page 157

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**triangular prisms**, those prisms will be equal . Let the parallelopipedon ABCG be divided by the plane BDHF into the ... prism ( D. IV . ) , and that prism is a right one , because the side BF is perpendicular to its base . This ... Page 158

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**triangular prisms**BADFEH , BDCFHG , being equal to the equal right prisms , are equal to each other . Cor . Every**triangular prism**ABDHEF is half of the paral- lelopipedon AG described with the same polyedral angle A , and with the same ...### 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