## The Essentials of Geometry (solid) |

### From inside the book

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Page 251

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**vertices**of a given triangle ? 5. What is the locus of points in space equally distant from a given plane ? 6. What is the locus of points in space equally distant from two parallel planes ? 7. A line parallel to each of two ... Page 266

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**vertex**a point without its plane ; as O - ABCD . The common**vertex**, O , is called the ver- tex of the polyedral angle , and the polygon , ABCD , the base ; the vertical angles of the triangles , AOB , BOC , etc. , are called the face ... Page 269

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**vertex**is 0 > the sum of the base of the whose common**vertex**is O ' . But the sum of all the of the A whose common**vertex**is O is equal to the sum of all the of the △ whose com- mon**vertex**is O ' . ( § 84 ) Hence , the sum of the s ... Page 273

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**vertices**the**vertices**. A diagonal of a polyedron is a straight line joining any two**vertices**not in the same face . 462. The least number of planes which can form a polye- dral angle is three . Whence , the least number of polygons ... Page 276

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**vertices**A ' , B ' , C " , D ' , E ' , G ' , F " , and L ' shall fall at A , B , C , D , E , G , F , and L , respectively . Now since the lateral edges of the prisms are , edge C'H ' will fall on CH , D'K ' on DK , etc. ( § 53 ) And ...### 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