Archive for the ‘Geometria differenziale’ Category

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

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Curvature and torsion of the cylindrical circular helix

lunedì, Dicembre 7th, 2020

Curvature and torsion of the cylindrical circular helix


Esercizio di geometria differenziale

Determinare la curvatura e la torsione dell'elica circolare cilindrica:

x=R*cos(φ), y=R*sin(φ), z=λ*φ

dove R > 0, λ > 0 sono parametri assegnati.

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