## The Essentials of Geometry |

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ABCD Algebra altitude approaches the limit axis base Book bounded called centre circle circumference circumscribed coincide common cone cone of revolution construct cube denote determined diameter diedral angle dimensions distance divided Draw lines drawn element equally distant equilateral equivalent EXERCISES faces Find foot frustum Given Given line given point Hence homologous indefinitely inscribed intersection lateral area lateral edges lies line drawn lune measure meet multiplied mutually parallel parallelopiped passing perimeter perpendicular plane MN polar pole polyedral polyedron prism produced Proof PROP Prove pyramid radii radius rectangular regular respectively sector sides similar slant height solid sphere spherical triangle squares straight line surface tangent tetraedron THEOREM total surface triangular triedral unit vertex vertices volume 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.