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Article #173Re: Cyclic Quadrilateral Problem
From: Scott Phung
Date: Tue, 01 Apr 1997 00:00
Date: Tue, 01 Apr 1997 00:00
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margot@cnwl.igs.net (David) wrote: D> landmark@vcn.bc.ca (Scott Phung) wrote: D> D> D> Scott, a cyclic quadrilateral is formed as *any* four distinct points D> on the circle. The area is not fixed in any way, and the center of D> the circle may be far from the intersection of the diagonals. You can D> find the area generally only as the area of the quadrilateral. Being D> cyclic adds no distinct differences to that figure so far as area is D> concerned, although there is a wealth of other properties, such as "A D> cyclic quadrilateral that is a parallelogram must be a rectangle." D> ..in which case the center of the circle *would* coincide with the D> intersection of diagonals. D> D> David. D> If knowledge is power, that explains my weakness. :-) David, The vertices can be on *any* four distinct points? But then does the diagonaly opposite angles add up to 180? If it does, my mistake, and I will beleive that what your saying is correct. Or maybe becuase the vertices lie on the circle makes the diagonally opposite angles add to 180. Thanks, Scott Phung. -- ////////////////////////////////////////////////////////////////////////// // // // Tagline: // // Only those who risk too much can find out how far one can go. // // // // Email: landmark@vcn.bc.ca // // // //////////////////////////////////////////////////////////////////////////
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 1130d6,2685f1246c1c8405 X-Google-Attributes: gid1130d6,public X-Google-Thread: 1077c2,2685f1246c1c8405 X-Google-Attributes: gid1077c2,public X-Google-Thread: f7972,2685f1246c1c8405 X-Google-Attributes: gidf7972,public From: landmark@vcn.bc.ca (Scott Phung) Subject: Re: Cyclic Quadrilateral Problem Date: 1997/04/01 Message-ID: <5hs7ff$4qd@opus.vcn.bc.ca> X-Deja-AN: 229985116 References: <5hnv2g$95s@opus.vcn.bc.ca> <5hooqn$ikg$1@nntp.igs.net> Organization: Vancouver Community Net Newsgroups: can.schoolnet.math.sr,alt.math.recreational,alt.uu.math.misc