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OverviewPlease note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. High Quality Content by WIKIPEDIA articles! In geometry, a spherical wedge or ungula is a portion of a ball bounded by two plane semidisks and a spherical lune (termed the wedge's base). The angle between the radii lying within the bounding semidisks is the dihedral angle of the wedge I . If AB is a semidisk that forms a ball when completely revolved about the z-axis, revolving AB only through a given I produces a spherical wedge of the same angle I . Beman (2008) remarks that a spherical wedge is to the sphere of which it is a part as the angle of the wedge is to a perigon. [A] A spherical wedge of I = I radians (180 ) is called a hemisphere, while a spherical wedge of I = 2I radians (360 ) constitutes a complete ball. The volume of a spherical wedge can be intuitively related to the AB definition in that while the volume of a ball of radius r is given by tfrac{4}{3} pi r^3, the volume a spherical wedge of the same radius r is given by frac{alpha}{2pi} cdot frac{4}{3} pi r^3 = frac{2}{3} alpha r^3 Full Product DetailsAuthor: Lambert M. Surhone , Miriam T. Timpledon , Susan F. MarsekenPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.50cm , Length: 15.20cm Weight: 0.148kg ISBN: 9786131190186ISBN 10: 6131190186 Pages: 92 Publication Date: 11 August 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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