## The Essentials of Geometry (solid) |

### From inside the book

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**diameter**of O BC , and A ' C ' C ( § 542 ) ( ? ) BC and B'C ' are equal , B'C ' is a**diameter**of OB'C ' , and passes through A ' . Hence , AB and A'B ' are equal and II . . ( ? ) Then , ABB'A ' is a ( ? ) .. AA ' || BB ' . 548. Cor ... Page 328

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**diameter**is a straight line drawn through the centre , having its extremities in the surface . 562. It follows from the definition of § 561 that all radii of a sphere are equal . Also , all its**diameters**are equal , since each is the ... Page 329

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**diameter**perpendicular to a circle of a sphere is called the axis of the circle , and its extremities are called the poles . P C B 568. Cor . I. The axis of a circle of a sphere passes through the centre of the circle . 569. Cor . II ... Page 330

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**diameter**of the sphere , and therefore a**diameter**of each O. ( § 152 ) 572. Cor . V. Between any two points on the surface of a sphere , not the extremities of a**diameter**, an arc of a great circle , less than a semi - circumference ... Page 335

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**diameter**40C and lines OB and OB ' . Now , arcs AB and AB ' are quadrants . Whence , AOB and AOB ' are rt . . Therefore , OB || AD and OB ' || AD ' . .. DAD ' = BOB ' . But BOB ' is measured by arc BB ' . Then , △ DAD ' is measured by ...### 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