AMSCO'S Geometry. New York - Rye High School

Vocabulary 46711.14 The intersection of a plane and a sphere is a circle.11.14a A great circle is the largest circle that can be drawn on a sphere.11.15 If two planes are equidistant from the center of a sphere and intersectthe sphere, then the intersections are congruent circles.FormulasL lateral area p perimeter of a base h s height of a lateral surfaceS surface area r radius of a base of a h p height of a prism or aC circumference cylinder or a cone; pyramidof the base radius of a sphere h c height of a cylinder orof a cone B area of a base a coneV volumeRight Regular Right CircularPrism Pyramid CylinderL ph s1L 2 ph sL 2prh cS L 2B S L B S 2prh c 2pr 2V Bh p1V 3 Bh pV Bh c pr 2 h cCone Sphere1L 2 Ch s prh sS 4pr 21V 3 Bh c 3 pr 2 h cV 4 3 pr 3VOCABULARY11-1 Cavalieri’s Principle • Solid geometry • Parallel lines in space • Skewlines11-2 Dihedral angle • Plane angle • Measure of a dihedral angle •Perpendicular planes • Line perpendicular to a plane • Planeperpendicular to a line11-3 Parallel planes • Line parallel to a plane • Distance between two planes11-4 Polyhedron • Faces of a polyhedron • Edges of a polyhedron • Verticesof a polyhedron • Prism • Bases of a prism • Lateral sides of a prism •Lateral edge of a prism • Altitude of a prism • Height of a prism • Rightprism • Parallelepiped • Rectangular parallelepiped • Rectangularsolid • Lateral area • Total surface area11-5 Cubic centimeter11-6 Pyramid • Vertex of a pyramid • Altitude of a pyramid • Height of apyramid • Regular pyramid • Slant height of a pyramid11-7 Cylinder • Base of a cylinder • Lateral surface of a cylinder • Altitude ofa cylinder • Height of a cylinder • Right circular cylinder