On Surfaces with a Rectilinear Geodesic Circle

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Stanford University, 1957 - Surfaces - 148 pages

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Contents

GENERAL CONSIDERATIONS
4
A CLASS OF SOLUTIONS
28
CONCLUSION
71

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On Surfaces with a Rectilinear Geodesic Circle
Adriano M. Garsia
Snippet view - 1957

Common terms and phrases

angle arcsin arctan boundary conditions computation conjugate construction coordinate axis cos2s course curves A(v curves C(u defined determined developable surface differential equation Doctor of Philosophy dv² envelopes of families equation II-29a equation II-56 fact families of cones Figure Frenet equations function g(u fundamental form Gaussian curvature geodesic curvature gives hence identically intersection isometric length meridian obtained as envelopes one-parameter family orthogonal osculating plane parameter parametric equation partial differential equation plane sheet point F principal normal Q and Q rectangle R(0 rectifying developable rectilinear geodesic circle Section segment sin² sin²t solutions surface of revolution surface S(A system I-13 system II-29 tangent theorem Theorema Egregium tion triangle FAB vanishes vector versor z-axis ι 1 ι аф аф

Bibliographic information

TitleOn Surfaces with a Rectilinear Geodesic Circle
Volume 20, Issue 57 of Poulter Laboratories technical report
AuthorAdriano M. Garsia
ContributorStanford University. Department of Mathematics
PublisherStanford University, 1957
Length148 pages
  
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