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    Geometric Surfaces

    Math

    • Title Home
    • Study Guide
    • Topics
      • Geometric Surfaces
      • Three Dimensions
      • Problems
      • Prisms and Cylinders
      • Problems
      • Pyramids and Cones
      • Problems
      • Regular Polyhedra and Spheres
      • Problems
    • Terms

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    Geometric Surfaces Terms

    Terms

    Geometric Surfaces Terms
    • Altitude of a Cone

      The segment with one endpoint at the vertex of a cone and the other in the plane that contains the base of the cone.

    • Altitude of a Pyramid

      The segment with one endpoint at the vertex of a pyramid and the other at the center of the base of the pyramid.

    • Base of a Cone

      The simple closed curve that bounds part of the cone.

    • Base of a Cylinder

      One of two simple closed curves that lie in parallel planes.

    • Base of a Prism

      One of two polygons that lie in parallel planes.

    • Base of a Pyramid

      A polygon that bounds part of the pyramid.

    • Center of a Sphere

      The fixed point in the interior of a sphere from which all points on the sphere are equidistant

    • Circular Cone

      A cone whose base is a circle

    • Circular Cylinder

      A cylinder whose base is a circle.

    • Concave Simple Closed Surface

      A simple closed surface in which one or more segments* drawn between points on the surface lie partially or wholly outside the surface.

    • Concentric Spheres

      Spheres that share a common center.

    • Cone

      A surface that includes a simple closed curve and the segments that join all the points on that curve with a single fixed point not in the plane of the curve.

    • Convex Simple Closed Surface

      A simple closed curve in which a segment joining any two points on the surface lies entirely in the interior of the surface.

    • Cube

      A regular polyhedron with six faces, all of which are congruent squares.

    • Cylinder

      A geometric surface composed of two congruent simple closed curves lying in parallel planes and segments of parallel lines joining the curves.

    • Dodecahedron

      A twelve-faced regular polyhedron whose faces are all congruent regular pentagons.

    • Edge

      The intersection of two polygons in a polyhedron.

    • Face

      A polygon in a polyhedron.

    • Geometric Solid

      A region in space bounded by a closed surface.

    • Hemisphere

      Exactly half of a sphere.

    • Isocahedron

      A twenty-faced regular polyhedron whose faces are all congruent triangles.

    • Lateral Edge

      An edge of a polyhedron, usually refers to a prism or a pyramid.

    • Lateral Face of a Prism

      The parallelograms of a prism whose edges are the segments that connect the bases.

    • Lateral Face of a Pyramid

      The triangles of a pyramid.

    • Lateral Surface of a Cone

      The set of segments that join the base of a cone with its vertex.

    • Lateral Surface of a Cylinder

      The set of segments that join the bases of a cylinder.

    • Octahedron

      An eight-faced regular polyhedron whose faces are all congruent triangles.

    • Polyhedron

      A simple closed surface composed of regions of intersecting planes--these regions are polygons

    • Prism

      A polyhedron composed of two congruent polygons that lie in parallel planes and the segments that are part of parallel lines that join the congruent polygons.

    • Pyramid

      A polyhedron composed of a polygon and the segments that join that polygon with a fixed point not in the plane of the polygon.

    • Radius of a Sphere

      A segment with one endpoint at the center of a sphere and the other endpoint on the sphere.

    • Regular Polyhedron

      A polyhedron whose faces are congruent regular polygons

    • Regular Pyramid

      A pyramid whose base is a regular polygon and whose altitude intersects the plane of its base at the center of the base.

    • Right Circular Cone

      A circular cone whose altitude intersects with the plane of the base at the center of the base.

    • Right Circular Cylinder

      A circular cylinder whose lateral edges are perpendicular to the planes that contain the bases.

    • Right Prism

      A prism whose lateral edges are perpendicular to the planes of the bases.

    • Simple Closed Surface

      A surface that divides space into three distinct regions: 1) points in the interior of the surface, which always form the endpoints of finite segments; 2) points on the surface; and 3) points in the exterior of the surface, which can form the endpoints of infinite segments.

    • Sphere

      A surface whose points all lie an equal distance from a fixed point in space.

    • Surface

      A geometric figure that traces the motion of a curve in space. A surface is two-dimensional, but can span three dimensions.

    • Tetrahedron

      A four-faced regular polyhedron whose faces are all congruent triangles.

    • Vertex of a Cone

      The fixed point that is the endpoint of all the segments that form the lateral surface of a cone.

    • Vertex of a Polyhedron

      Any point on a polyhedron that is the intersection of three or more faces.

    • Vertex of a Pyramid

      The fixed point at the intersection of all the faces of the pyramid.

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