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Curated by: Physics for the Birds (26 videos)
The shape that a dog walks in when pulled by its owner shows up in more places than you might think. This video explores a curve called the tractrix and introduces visual calculus, a method for calculating integrals without any calculations. Become a Patreon member: https://www.patreon.com/PhysicsfortheBirds 0:00 Dog on a leash, intro 1:23 Deriving the tractrix 3:17 Visual calculus 6:01 Area between bike tracks 8:04 Conclusion Yo-yo on the ISS: https://www.youtube.com/watch?v=ZzSt8t7jsdo Proof of Tractrix Equation: https://proofwiki.org/wiki/Equation_of_Tractrix/Cartesian_Form Mamikon's Visual Calculus: https://www.its.caltech.edu/~mamikon/VisualCalc.html Gaussian curvature of the pseudosphere: Manfredo P. do Carmo, "Differential Geometry of Curves and Surfaces", p.168-169 Great video on bike tracks: https://www.youtube.com/watch?v=l7bYY2U5ld8