## Elements of Geometry |

### From inside the book

Results 1-5 of 36

Page iv

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**pyramid**, by M. Queret of St. Malo , is sub- joined at the end . But the principal improvement in this edition consists in a new demonstration of the theorem relative to the three angles of a triangle , concerning which the author ... Page 126

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**pyramid**, the point S its vertex , and the triangles ASB , BSC , & c . , compose the lateral or convex surface of the**pyramid**. 376. The altitude of a**pyramid**is the perpendicular let fall from the vertex upon the plane of the base ... Page 127

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**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 polyedrons are ... Page 141

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**pyramid**S - ABCDE ( fig . 214 ) is cut by a plane a bd , Fig . 214 . parallel to the base , .. • • • 1. The sides SA , SB , SC , divided proportionally in a , b , c , ... and the altitude SO , will be ... and 0 ; 2. The section ... Page 142

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**pyramid**S - ABC may be considered as composed of two prisms AGH - FDE , EGI - CFH , equivalent to each other , and two equal**pyramids**S - DEF , E - GBI . Demonstration . It follows from the construction , that ED is parallel to BA , and ...### 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