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Contribution to Book
Mathematical derivations of inscribed & circumscribed radii for three externally touching circles (Geometry of Circles by HCR)
Mathematical Analysis of Three Externally Touching Circles (2015)
  • Harish Chandra Rajpoot Rajpoot, HCR
Abstract
All the articles, related to three externally touching circles, have been derived by using simple geometry & trigonometry to calculate inscribed & circumscribed radii. All the articles (formula) are very practical & simple to apply in case studies & practical applications of three externally touching circles in 2-D Geometry. Although these results are also valid in case of three spheres touching one another externally in 3-D geometry. These formula are also used for calculating any of three radii if rest two are known & the dimensions of the rectangle enclosing thee externally touching circles. Here is also the derivation of a general formula for computing the length of common chord of two intersecting circles.   
Keywords
  • derivations of inscribed & circumscribed radii for three externally touching circles
Publication Date
Winter February 15, 2015
Publisher Statement
outstanding
Citation Information
Harish Chandra Rajpoot Rajpoot. "Mathematical derivations of inscribed & circumscribed radii for three externally touching circles (Geometry of Circles by HCR)" Mathematical Analysis of Three Externally Touching Circles (2015)
Available at: http://works.bepress.com/harishchandrarajpoot_hcrajpoot/31/