## The Essentials of Geometry |

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ABCD Algebra altitude approaches the limit area ABC axis bisecting centre circle circular cone circular cylinder circumference circumscribed coincide 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 lateral Find the volume frustum Given line given point Hence homologous inscribed intersection lateral area lateral edges lateral faces lateral surface line drawn lune O-ABC perimeter perpendicular plane determined plane MN pole polyedral angle proof is left PROP Prove radii radius rectangular parallelopiped regular polygon respectively sector sides slant height solid spherical angle spherical polygon spherical pyramid spherical triangle Spherical Trigonometry straight line symmetrical tangent tetraedron THEOREM total surface tri-rectangular triangular prism triedral vertex vertices Wells's Whence

### Popular passages

Page 371 - A zone is a portion of the surface of a sphere included between two parallel planes.

Page 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...

Page 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.

Page 243 - The perpendicular is the shortest line that can be drawn from a point to a straight line.

Page 325 - A right circular cone may be generated by the revolution of a right triangle about one of its legs as an axis.

Page 297 - ... pyramids are to each other as the products of their bases by their altitudes.

Page 256 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.

Page 261 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane.

Page 290 - DEF. The slant height of a regular pyramid is the altitude of any one of the lateral faces.

Page 248 - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane.