## Elements of Geometry |

### From inside the book

Results 1-5 of 17

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 130

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**triangular prisms**ABD - HEF , GHF - BCD , symmetrical with each other . Demonstration . In the first place the ... prism . The same may be proved with respect to the solid GHF - BCD . We say now that • these two prisms are symmetrical ... Page 131

... 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 132

... 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 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 the plane BFHD into two right

**triangular prisms**a B d - h e F ... Page 133

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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 AE1 = 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 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