My Math Forum What is the full form of LDCT and LTCT in cyclic quadrilateral?

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 April 6th, 2018, 07:45 PM #1 Senior Member   Joined: Aug 2014 From: India Posts: 343 Thanks: 1 What is the full form of LDCT and LTCT in cyclic quadrilateral? L.D.C.T = $\sqrt {d^2 - (R-r^2)}$ L.T.C.T = $\sqrt {d^2 - (R+r^2)}$ What is the full form of LDCT and LTCT in cyclic quadrilateral? Last edited by Ganesh Ujwal; April 6th, 2018 at 07:52 PM.
 April 7th, 2018, 07:35 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,098 Thanks: 1905 Can you provide a diagram?
 April 7th, 2018, 01:57 PM #3 Global Moderator   Joined: May 2007 Posts: 6,660 Thanks: 648 Enlighten us. What do LDCT and LTCT mean? Thanks from topsquark
 April 7th, 2018, 07:03 PM #4 Senior Member   Joined: Aug 2014 From: India Posts: 343 Thanks: 1 Length of direct common tangent and length of transverse common tangent. I got it. Last edited by skipjack; April 8th, 2018 at 06:14 AM.
 April 8th, 2018, 06:12 AM #5 Global Moderator   Joined: Dec 2006 Posts: 20,098 Thanks: 1905 Perhaps you intended LDCT = $\sqrt{d^2 - (R - r)^2}$ and LTCT = $\sqrt{d^2 - (R + r)^2}$, as given and proved in this article. However, I don't understand your reference to a cyclic quadrilateral, or what you meant by "full form". Thanks from topsquark

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