tag:blogger.com,1999:blog-1840985738235902482.post2190669463213900493..comments2020-07-08T20:49:16.378-05:00Comments on John the Math Guy: Creating a circle that goes through three points on your lawnJohn Seymourhttp://www.blogger.com/profile/11350487038873935295noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-1840985738235902482.post-48970882112973305212019-08-25T12:25:44.483-05:002019-08-25T12:25:44.483-05:00Using a compass draw arc bisectors (lines) for arc...Using a compass draw arc bisectors (lines) for arcs P1-P2 and P2-P3.<br />Where those lines intersect is the center of the circle comprising P1, P2, and P3. Set your compass radius (from center to any point), anchor it on the center and draw the circle that passes through P1, P2, and P3. (a perpendicular bisector of any chord of a circle passes through the one unique center of that circle.) - The spiritual implications of this are great (to the the center being analagous to the one common direction all point to)<br />Yochanon Bogarthttps://www.blogger.com/profile/03079400061117379890noreply@blogger.comtag:blogger.com,1999:blog-1840985738235902482.post-674916509573613082019-08-25T07:33:35.180-05:002019-08-25T07:33:35.180-05:00Very nice solution. One comment regarding this sta...Very nice solution. One comment regarding this statement from Step 4:<br />"copious quantities of beer can reduce the number of iterations necessary, not because beer increases your skill level, but because it gives you a more realistic view of just how important the position of the center of the circle is in the grand scheme of things"<br />This is making a judgment call regarding the intent and desires of Dark Laser (or more likely, Mrs Laser). I do agree that it will reduce the number of iterations, but it is because beer increases the uncertainty of the measurement. So you can more quickly determine the proposed circle center because a larger area is (measurement-wise) indistinguishable from the true center.<br /><br />Signed anonymous on purpose so you can try to guess...Anonymousnoreply@blogger.com