<HTML><BODY STYLE="font:10pt verdana; border:none;"><DIV>Jim </DIV> <DIV>Draw 2 45 deg. lines and make the circles far enough apart that the lines are a tangent to the circles where they touch. That is the geometry.</DIV> <DIV>Jim I</DIV> <BLOCKQUOTE style="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px"> <DIV style="FONT: 10pt Arial">----- Original Message -----</DIV> <DIV style="BACKGROUND: #e4e4e4; FONT: 10pt Arial; COLOR: black"><B>From:</B> Woodward James R Civ 412 TW/DRP/ACQ</DIV> <DIV style="FONT: 10pt Arial"><B>Sent:</B> Wednesday, June 18, 2003 1:30 PM</DIV> <DIV style="FONT: 10pt Arial"><B>To:</B> discussion@nsrca.org</DIV> <DIV style="FONT: 10pt Arial"><B>Subject:</B> Masters Cuban 8 w/ 2/4</DIV> <DIV> </DIV> <META content="Microsoft Word 10 (filtered)" name=Generator> <STYLE> <!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {margin:0in; margin-bottom:.0001pt; font-size:12.0pt; font-family:"Times New Roman";} a:link, span.MsoHyperlink {color:blue; text-decoration:underline;} a:visited, span.MsoHyperlinkFollowed {color:purple; text-decoration:underline;} span.EmailStyle17 {font-family:Arial; color:windowtext;} @page Section1 {size:8.5in 11.0in; margin:1.0in 1.25in 1.0in 1.25in;} div.Section1 {page:Section1;} --> </STYLE> <DIV class=Section1> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial">Hi All,</SPAN></FONT></P> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial"></SPAN></FONT> </P> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial">I've been practicing this maneuver and I'm having trouble getting making it repeatable/consistent/, etc. So, I took a music CD and drew two circles that have the same baseline and touch each other at their closest points. If you do this, you will quickly see that two adjacent circles have no place for 45 degree lines to be drawn in between them. It appears to me from the drawing that actually you cannot maintain a constant radius AND perform a 45 degree "LINE" within this maneuver. If you maintained a constant radius you would never reach a point where you could depart that curve onto a 45 degree up or downline, and intersect the magic spot on the other loop at the same radius.</SPAN></FONT></P> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial"></SPAN></FONT> </P> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial">Am I out to lunch on this, or do you indeed need different radii: 1.) blending 45 degree line into loop 2.) looping segment. Or, the loops are not really supposed to touch each other in the middle, thus there is some distance between each loop?</SPAN></FONT></P> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial"></SPAN></FONT> </P> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial">Thanks,</SPAN></FONT></P> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial">Jim W.</SPAN></FONT></P> <P class=MsoNormal><FONT face=Arial size=2><SPAN style="FONT-SIZE: 10pt; FONT-FAMILY: Arial"></SPAN></FONT> </P> <P class=MsoNormal><FONT face="Times New Roman" size=3><SPAN style="FONT-SIZE: 12pt"></SPAN></FONT> </P></DIV></BLOCKQUOTE></BODY></HTML>