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A Quantitative Computational Method for Landslip Orientation of a Body Isolated from Bed Rock in Mountain by Using Spatial Analytic Geometry
Mathematical College of Tianjin Normal University, Upāsaka (Viewer of Reality of Personality),Tianjin Dabei Buddhist Institute, Tianjin, China
- 1 Mathematical College of Tianjin Normal University, Upāsaka (Viewer of Reality of Personality),Tianjin Dabei Buddhist Institute, Tianjin, China
Applied Mathematics·Volume 04 (2013)·Pages 1125–1141·Published 23 July 2013·DOI10.4236/am.2013.48152
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Abstract
The paper is going to give a quantitative computational method for “Landslip Orientation of a body isolated from bed rock in Mountain” only with spatial analytic geometry. The paper gives computational formulae in proper order for only landslip plane, just two landslip planes and just three landslip planes, and gives numerical examples. And the paper gives a general computational model for landslip orientation of m landslip planes. The author puts forward “Un-allowed Straight Angle Law”, “Critical Straight Angle Law” and “Allowed Straight Angle Law”. Finally, the author gives a project expression of a landslip plane on unit sphere.
KeywordsLandslip PlaneNormalization of Horizontal ProjectUn-Allowed Straight Angle LawCritical Straight Angle LawAllowed Straight Angle LawProject Expression According to Unit Sphere
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