## 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 124

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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 , hexago- nal , & c . , according as the base is a triangle , a quadrilateral , a ... Page 128

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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**abci . For , let the base ABCDE be placed upon the base a b c d e , the two bases will coincide . But the ... Page 129

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**prisms**, which have equal bases and equal altitudes , are equal . For , since the side AB = ab , and the altitude BG b g , the rectangle ABGF = abgf ; the same may be proved with respect to the rectangles BGHC , bghc ; thus the three ... Page 130

... ABD - HEF is a

... ABD - HEF is a

**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 130 Elements of Geometry .### 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