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  2. Hypocycloid - Wikipedia

    en.wikipedia.org/wiki/Hypocycloid

    The red path is a hypocycloid traced as the smaller black circle rolls around inside the larger black circle (parameters are R=4.0, r=1.0, and so k=4, giving an astroid). In geometry , a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle.

  3. Engineering drawing abbreviations and symbols - Wikipedia

    en.wikipedia.org/wiki/Engineering_drawing...

    Engineering drawing practices Y14.24–1999: Types and applications of engineering drawings Y14.3–2003: Multiview and sectional view drawings Y14.31–2008: Undimensioned drawings Y14.36M–1996: Surface texture symbols Y14.38–2007: Abbreviations and acronyms for use on drawings and related documents Y14.4M–1989: Pictorial drawing Y14.41 ...

  4. Cycloid - Wikipedia

    en.wikipedia.org/wiki/Cycloid

    A cycloid generated by a rolling circle. In geometry, a cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve.

  5. File:Cycloidal rotor construction - 2 lobes.svg - Wikipedia

    en.wikipedia.org/wiki/File:Cycloidal_rotor...

    English: Diagram showing the construction of a 2-lobed cycloidal rotor, like that found in a Roots blower.The red curve is an epicycloid (outside the larger generating circle with diameter D, black) and the blue curve is a hypocycloid.

  6. Roulette (curve) - Wikipedia

    en.wikipedia.org/wiki/Roulette_(curve)

    Cycloid - curve generated by a rotating point on a wheel Epitrochoid - Wheel rotating around a wheel . In the differential geometry of curves, a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and involutes.

  7. Cycloid gear - Wikipedia

    en.wikipedia.org/wiki/Cycloid_gear

    Construction of a two-lobed cycloidal rotor. The red curve is an epicycloid and the blue curve is a hypocycloid. A Roots blower is one extreme, a form of cycloid gear where the ratio of the pitch diameter to the generating circle diameter equals twice the number of lobes. In a two-lobed blower, the generating circle is one-fourth the diameter ...

  8. Epicycloid - Wikipedia

    en.wikipedia.org/wiki/Epicycloid

    The red curve is an epicycloid traced as the small circle (radius r = 1) rolls around the outside of the large circle (radius R = 3).. In geometry, an epicycloid (also called hypercycloid) [1] is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which rolls without slipping around a fixed circle.

  9. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.