Just created a page on curvature and tangent circle. See http://xahlee.org/SpecialPlaneCurves_dir/Curvature_dir/curvature.html the interesting idea is the...
i just learned that the locus of cusps of parallel curves is the evolute of the given curve. this is interesting, because it is a alternative definition of ...
Yes,Xah, I also found it intriguing... the base circle is evolute of all parallel involutes, in perhaps the simplest 2D plane example. In fact,this is how...
I added a photo page on Curlicue. See http://xahlee.org/SpecialPlaneCurves_dir/Curlicue_dir/curlicue.html has anyone seen interesting examples? i know that...
This is just to describe the construct of the curve and then I want to ask what kind of curve is it, is it a parabola? Secondly how can I get into the math of...
added a folium of Descartes stamp! http://xahlee.org/SpecialPlaneCurves_dir/FoliumOfDescartes_dir/ foliumOfDescartes.html anyone know other stamps featuring...
the one in mma version 2 is here: http://xahlee.org/SpecialPlaneCurves_dir/Seashell_dir/index.html formula is: x = 2*(1 - E^(u/(6*Pi)))*Cos[u]*Cos[v/2]^2, y =...
I am new in this group. I am a Spanish math teacher in a secondary school and I have a question about a curve. Let P mover on the ellipse x^2/a^2+y^2/b^2 = 1...
1) Is there a relationship between the focus of a parabola, its latus rectum, and its evolute? 2) The evolute of the spiral x= cost + tsint, y= sint - tsint...
... by definition there is a relation between the focus and the latus rectum of a parabola. As to focus and its evolute, i suppose so, if not direct. ... the...
1) Is there a relationship between the focus of a parabola, its latus rectum, and its evolute? The 1.5 power curve has a cusp at focus. 2) The evolute of the...
An intersting 2D locus, however, I don't know its name. Perhaps the parameteric form is simpler. It is not difficult to derive a relation between th and an...
just made an update to the breather surface, with graphing calc file & Mathematica file. http://www.xahlee.org/surface/breather_p/breather_p.html Xah ☄...
just created this page: http://xahlee.org/Whirlwheel_dir/reflecting_disks/reflecting_disks.html a photo gallery of reflecting disks. (radio dishes, solar...
There was a toy that had a virtual pig floating in air. There was an actual pig at the base of the toy and his virtual image was at the focus of a parabolic...
Breather breathtaking indeed !! Allow me acomment about related Three soliton surface with K= -1. One sees K > 0 areas in the peripheral regions of the...
Better to say Reflector dishes instead of reflecting disks. The TV dish receiver is not necessarily parabolic, since the focus is below the center of the dish...
excuse my ignorance...(for, this is really a difficult subject :) what exactly is a soliton? Xah Breather breathtaking indeed !! Allow me acomment about...
... I took your advice. ... if that means the surface is a surface of revolution. If so, the focus must be in the center. But that TV disk has the receiving...
btw, excuse my ignorance, what exactly is a soliton? Xah On Apr 24, 2005, at 5:55 AM, Narasimham Gudipaty wrote: Breather breathtaking indeed !! Allow me...
Added a Mathematica notebook and Graphing Calc file to the Kuen surface: http://xahlee.org/surface/kuen/kuen.html try to plot it in your fav plotter! quite a...
Xah Lee <xah@...> wrote: excuse my ignorance...(for, this is really a difficult subject :)What exactly is a soliton? I was referring to another image in...
... <mcyberliver@y...> wrote: Our group is devoted to the study of Single Variable Calculus. Topics open for discussion include: limits and continuity, the...
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