## Elements of Geometry |

### From inside the book

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**prism**. 369. The equal and parallel polygons ABCDE , FGHIK , are called the bases of the**prism**. The other planes , taken together , constitute the lateral or convex surface of the**prism**. The equal straight lines AF , BG , CH , & c ... Page 126

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**prism**. In every other case the**prism**is oblique , and the altitude is less than the side . 372. A**prism**is triangular , quadrangular , pentagonal , hex- agonal , & c . , according as the base is a triangle , a quadrilateral , a ... Page 130

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**prisms**are equal , when three planes containing a solid angle of the one are equal to three planes containing a solid ...**prism**a bci . For , let the base ABCDE be placed upon the base abcde , the two bases will coincide . But the three ... Page 131

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**prisms**, which have equal bases and equal altitudes , are equal . For , since the side AB = a b , and the altitude BG = b g , the rectangle ABGF = abgƒ ; the same may be proved with respect to the rectangles BGHC , b g h c ; thus the ... Page 132

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**prism**. The same may be proved with respect to the solid GHF - BCD . We say now that these two**prisms**are symmetrical with each other . Upon the base ABD make the**prism**ABD - E'F'H HAREM KHOL Elements of Geometry. ...### 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