Cissoid of Diocles (Differential Geometry)

martedì, Dicembre 8th, 2020

Cissoid of Diocles, Differential Geometry


The equation of the cissoid of Diocles in polar coordinates is


Sketch the curve and find a parametric representation in rectangular coordinates.

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Some doubts about an exercise from the famous book "Schaum's Outline of Differential Geometry"

lunedì, Dicembre 7th, 2020

Schaum's Outline of Differential Geometry,differential geometry


Some doubts about an exercise from the famous book "Schaum's Outline of Differential Geometry":

Show that the rappresentation
x(t)=1+cos(t), y(t)=sin(t) z=2*sin(t/2) for t in [-2 pi, 2 pi]
is regular and lies on the sphere of radius 2 about the origin and the cylinder (x-1)²+y²=1

(altro…)