File:Archimedean-involute-circle-spirals-comparison.svg
Original file (SVG file, nominally 639 × 600 pixels, file size: 101 KB)
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| Description |
Comparison of the Archimedean spiral generated by the equations x=θcosθ and y=θsinθ with the Involute of a circle, generated by the equations x=cosθ+θsinθ and y=sinθ-θcosθ (where "θ" is an angle expressed in radians). The Archimedean spiral is shown in red, and corresponds to the values 0 ≤ θ ≤ 8π of the angle parameter, while the Involute of the circle is shown in black, and corresponds to the values 0 ≤ θ ≤ 17π/2 of the angle parameter. The x-axis extends from -25 to +28 and the y-axis from -26.4 to +23.4, and there are tick marks at -20, -10, +10, +20 along the axes. The curves are 1 unit apart at their start points, while they are slightly more than 1.5 (and slightly less than π/2) units apart where they intersect the x-axis for the final time in this plot. |
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Self-made graphic converted from the following vector PostScript source code: %!
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0 setgray/radians 57.2957795131 def/q{2 div/x exch def/c x cos
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1 0 0 setrgbcolor 0 0 moveto 1 1 2880{q x c mul x s mul lineto}for
stroke showpage
%EOF |
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| Author | AnonMoos | ||
| Permission (Reusing this file) |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:32, 1 May 2012 | | 639 × 600 (101 KB) | AnonMoos | Comparison of the Archimedean spiral generated by the equations <tt>x=θcosθ</tt> and <tt>y=θsinθ</tt> with the Involute of a circle, generated by the equations <tt>x=cosθ+θsinθ</tt> and <tt>y=sinθ-θcosθ</tt> (where "θ" is an angle expressed ... |
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