<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/f92343a3-9453-4bec-a6f9-bd6587e7e62c/484C1867-22FF-478D-86C5-CEB1018BB4FE/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://casa.colorado.edu/~ajsh/sr/wheel.html" href="http://casa.colorado.edu/~ajsh/sr/wheel.html" style="font-size: 11px;">casa.colorado.edu</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://casa.colorado.edu/~ajsh/sr/wheel.html"><H1><a name="top">The Spacetime Wheel</a></H1></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://casa.colorado.edu/~ajsh/sr/wheel.html"><table background="undefined" bgcolor=""><tr><TD><b>Wheel</b> <p> <a href="http://casa.colorado.edu/~ajsh/sr/wheelbig_gif.html"> <img src="http://casa.colorado.edu/~ajsh/sr/wheel.gif" alt="Wheel." align="left" height="144" width="144"></a> </p><p> This is a wheel. </p><p> Each successive image in the movie is rotated by a small amount compared to the previous image. </p><p> As the wheel rotates, the coordinates (<i>x</i>,&nbsp;<i>y</i>) of a point on the wheel relative to its centre change, but the distance <i>r</i> between the point and the centre remains constant <!-- <table align="center" cellpadding=3><tr valign=middle><td align="center" nowrap>--> </p><p align="center"> <i>r</i>² = <i>x</i>²&nbsp;+&nbsp;<i>y</i>² = constant&nbsp;. <!-- </td></tr></table>--> </p><p> More generally, the coordinates (<i>x</i>,&nbsp;<i>y</i>,&nbsp;<i>z</i>) of the interval between any two points in 3-dimensional space (a vector) change when the coordinate system is rotated in 3 dimensions, but the separation <i>r</i> of the two points remains constant <!-- <table align="center" cellpadding=3><tr valign=middle><td align="center" nowrap>--> </p><p align="center"> <i>r</i>² = <i>x</i>²&nbsp;+&nbsp;<i>y</i>²&nbsp;+&nbsp;<i>z</i>² = constant&nbsp;. <!-- </td></tr></table>--> </p> </TD></tr></table></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/484C1867-22FF-478D-86C5-CEB1018BB4FE/blog/" title="blog or email this clip"><img src="http://content8.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>

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