## Elements of Geometry |

### From inside the book

Results 1-5 of 18

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 132

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**triangular prisms**ABD - HEF , GHF - BCD , symmetrical with each other . Demonstration . In the first place the solids are prisms ; for the triangles ABD , EFH , having the sides of the one equal and parallel to those of the other , are ... Page 133

... prism ABD - EFH . According to what has been demon- strated ( 386 ) , the plane ABFE ' is equal to ABFE , and the ...

... prism ABD - EFH . According to what has been demon- strated ( 386 ) , the plane ABFE ' is equal to ABFE , and the ...

**triangular prisms**ABD - HEF , BCD - HFG ( fig . 208 ) , which compose the parallelopiped AG , are Fig . 208 ... Page 134

... prism ( 368 ) ; and this prism is a right prism , since the side BF is perpendicular to the plane of the base . This being premised , if the right prism Bh be divided by the plane BFHD into two right

... prism ( 368 ) ; and this prism is a right prism , since the side BF is perpendicular to the plane of the base . This being premised , if the right prism Bh be divided by the plane BFHD into two right

**triangular prisms**a B d - h e F ... Page 135

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**triangular prism**AEI - MDH is equal to the triangu- lar prism BFK - LCG . Indeed , since AE is parallel to BF , and HE to GF , the angle AEI = BFK , HEI = GFK , HEA GFB . Of these six angles the three first form the solid angle E , 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