## Elements of Geometry |

### From inside the book

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Page iv

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**triangular pyramid**by M. Queret of St. Malo , received too late for insertion in its proper place , is subjoined at the end . Cambridge , June 4 , 1825 . ། PREFACE . THE method of the ancients is very generally iv Advertisement . Page 124

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**pyramid**is a solid formed by several**triangular**planes proceeding from the same point and terminating in the sides of a Fig . 196. polygon ABCDE ( fig . 196 ) . Fig . 202 . The polygon ABCDE is called the base of the**pyramid**, the point ... Page 125

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**triangular pyramids**, which have for their common base the above triangle ; and these several pyramids will determine . the positions of the several solid angles of the polyedron with respect to the base . This being supposed ; Two ... Page 139

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**triangular**prisms of the same altitude , as there are triangles in the polygon taken for a base . But the solidity ...**pyramid**S - ABCDE ( fig . 214 ) is cut by a plane a b d , Fig , 214 , parallel to the base , 1. The sides SA , SB , SC ... Page 140

... pyramids that have a common vertex , and whose altitudes are the same , or whose bases are situated in the same ...

... pyramids that have a common vertex , and whose altitudes are the same , or whose bases are situated in the same ...

**triangular pyramid**, of which S is the vertex and ABC the base ; if the sides SA , SB , SC , AB , AC , BC , be bisected ...### 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