## The Essentials of Geometry (solid) |

### From inside the book

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**rectangular**prismoid equal to the sum of its bases , plus four times a ...**rectangular**prismoid the sides of whose bases are 10 and 7 , and 6 and 5 ...**tri**- angular pyramid , bisecting the sides of the base , meet in a common ... Page 341

... rectangular triangle , and one having three right angles a

... rectangular triangle , and one having three right angles a

**tri**-**rectangular**triangle . 599. Two spherical polygons on the same sphere , or equal spheres , are said to be mutually equilateral , or mutu- ally equiangular , when the sides ... Page 346

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**tri**-**rectangular**tri- angles . ( Prove by § 607 , 1. By § 585 , each of each spherical △ is a rt . Z. ) 609. Cor . III . The surface of a sphere is eight times the surface of one of its**tri**-**rectangular**triangles . PROP . XXVI ... Page 353

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**tri**-**rectangular**triangle . Given L the area of a lune ; A the numerical measure of its referred to a rt . as the unit of measure ; and T the area of a**tri**-**rectangular**A. To Prove L = 2AX T. Proof . The area of the surface of the ... Page 354

Webster Wells. 629. Def . A

Webster Wells. 629. Def . A

**tri**-**rectangular**pyramid is a spherical pyra- mid whose base is a**tri**-**rectangular**triangle . 630. Sch . II . It may be proved , as in § 625 , that Two spherical wedges in the same sphere , or equal spheres ...### Other editions - View all

### Common terms and phrases

ABCD Algebra altitude approaches the limit area ABC axis bisecting centre cents circle circular cone circular cylinder circumference circumscribed cone of revolution conical surface convex polyedron cube cylinder of revolution diameter diedral angle distance Draw lines entire surface equal parts occur equal spheres equally distant Find the area Find the volume frustum Geometry Given line given point homologous inscribed intersection lateral area lateral edges lateral faces lateral surface line drawn lune O-ABC parallel planes perimeter perpendicular plane determined Plane Geometry plane MN pole polyedral angle proof is left PROP Prove pupil radii radius rectangular parallelopiped regular polygon respectively sector sides slant height solid Solid Geometry spherical angle spherical polygon spherical pyramid spherical triangle straight line tangent tetraedron THEOREM total surface tri-rectangular triangular prism triedral vertex vertices Wells's Whence