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2. Involute - Wikipedia

   en.wikipedia.org/wiki/Involute

   In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve. [1] The evolute of an involute is the original curve.

3. Evolute - Wikipedia

   en.wikipedia.org/wiki/Evolute

   The evolute of a curve (blue parabola) is the locus of all its centers of curvature (red). The evolute of a curve (in this case, an ellipse) is the envelope of its normals. In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. That is to say that when the center of curvature of each point ...

4. List of PDF software - Wikipedia

   en.wikipedia.org/wiki/List_of_PDF_software

   deskUNPDF: PDF converter to convert PDFs to Word (.doc, docx), Excel (.xls), (.csv), (.txt), more; GSview: File:Convert menu item converts any sequence of PDF pages to a sequence of images in many formats from bit to tiffpack with resolutions from 72 to 204 × 98 (open source software) Google Chrome: convert HTML to PDF using Print > Save as PDF.

5. Nephroid - Wikipedia

   en.wikipedia.org/wiki/Nephroid

   Because the evolute of a nephroid is another nephroid, the involute of the nephroid is also another nephroid. The original nephroid in the image is the involute of the smaller nephroid. inversion (green) of a nephroid (red) across the blue circle

6. Involute gear - Wikipedia

   en.wikipedia.org/wiki/Involute_gear

   The involute gear profile, sometimes credited to Leonhard Euler, [1] was a fundamental advance in machine design, since unlike with other gear systems, the tooth profile of an involute gear depends only on the number of teeth on the gear, pressure angle, and pitch. That is, a gear's profile does not depend on the gear it mates with.

7. Logarithmic spiral - Wikipedia

   en.wikipedia.org/wiki/Logarithmic_spiral

   Logarithmic spiral (pitch 10°) A section of the Mandelbrot set following a logarithmic spiralA logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature.