document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823932>Question 823932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find the 7 other vertices of regular octagon centred at the origin of z=1. Given z1=2+3i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495999 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=495999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me find the 7 other vertices of regular octagon centred at the origin of z=1. Given z1=2+3i<BR>\n" );
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document.write( "Not sure what \"centred at the origin of z=1.\" means.<BR>\n" );
document.write( "If it's centered at the Origin:<BR>\n" );
document.write( "2+3i --> mag = sqrt(13)<BR>\n" );
document.write( "Angle = atan(3/2)<BR>\n" );
document.write( "The other 7 points are spaced 45 degs on the circle of radius sqrt(13).<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z1+=+sqrt%2813%29cis%28atan%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"z1+=+sqrt%2813%29cis%28atan%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z2+=+sqrt%2813%29cis%28atan%283%2F2%29+%2B+45%29 ALIGN=MIDDLE  ALT=\"z2+=+sqrt%2813%29cis%28atan%283%2F2%29+%2B+45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "etc </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );