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  • Kinematic Models
  • Resources

Kinematic Models

Resources

American History Museum

Online demonstrations: Wolfram Mathworld, https://mathworld.wolfram.com/ and Cut the Knot, https://www.cut-the-knot.org/.

Chironis, Nicholas, Gear Design and Applications, 1967, p.160.

Davis, W.O., Gears for Small Machines, 1953, p.9.

Grant, George, Teeth of Gears, 1891, p.69.

Hartenberg, Richard S., Kinematic Synthesis of Linkages, 1964, p. 185.

Kidwell, Peggy, “American Mathematics Viewed Objectively: The Case of Geometric Models”, Calinger, R. Ed., MAA Notes 40, 1996, pp. 197-207.

Roberts, David Lindsay, “Linkages, A Peculiar Fascination” in Tools of American Mathematics Teaching, 1800-2000, Kidwell, P.A. et.al., Johns Hopkins University Press, 2008, pp. 233-242.

Schilling, Martin, Catalog Mathematischer Modelle für den höheren mathatischen Unterricht, Halle a.s., Germany, 1911, pp. 56-57. Also available at https://www.mathmodels.illinois.edu/cgi-bin/cview?SITEID=4&ID=342.

Snyder, Virgil, review of Catalog mathematischer Modelle für den höheren mathatischen Unterricht, Bulletin of American Mathematics, Jan 1904, pp.209-210.


Peaucellier Inversor, Kinematic Model by Martin Schilling, series 24, model 10, number 349

Hart Inversor, Kinematic Model by Martin Schilling, series 24, model 11, number 350

Sylvester-Kempe Inversor, Kinematic Model by Martin Schilling, series 24, model 12, number 351

Involutes of Circles, Kinematic Model by Martin Schilling, series 24, model 6, number 334

Cycloids, Kinematic Model by Martin Schilling, series 24, model 7, number 335

Epitrochoid, Kinematic Model by Martin Schilling, series 24, model 1, number 329

Hypotrochoids, Kinematic Model by Martin Schilling, series 24, model 3, number 331

Hypotrochoid with overlay, Kinematic Model by Martin Schilling, series 24, model 4, number 332

Twin Elliptical Gears, Kinematic Model by Martin Schilling, series 24, model 8, number 347

Twin Hyperbolic Gears, Kinematic Model by Martin Schilling, series 24, model 9, number 348

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