 | American Mathematical Society - Electronic journals - 1908 - 510 pages
...THTBAUT transformations, as just derived, can be extended to the transformations, which we have found, of surfaces with the same spherical representation of their lines of curvature as S . Given a surface S and as before denote by W the distance from the origin of its tangent plane.... | |
 | 1905 - 788 pages
...<*„_!/ •+• . . . + ( — i)"i" = 0 has equal roots, etc. (p. 103—112). 0 5 m a. LP EISENHART. Surfaces with the Same Spherical Representation of...their Lines of Curvature as Pseudospherical Surfaces. In spite of the large amount of work which has been done upon the pseudospherical surfaces since the... | |
 | Mathematics - 1905 - 524 pages
...Directrix. № 2 (avril 1905). — A. CHESSIN : On a Class of differential Equations. — LP EISKMIART : Surfaces with the Same Spherical Representation of...their Lines of Curvature as Pseudospherical Surfaces. • — V. SNYDER : On the Forms of Sextic Scrolls Having no Rectilinear Directrix. — LE DICKSON... | |
 | Mathematics - 1905 - 900 pages
...Development of a function in terms of Bessel's functions (second paper)." (10) Professor LP EISEXHAKT : " Surfaces with the same spherical representation of their lines of curvature as spherical surfaces." (11) Professor PAUL STACKEL : "Die kinematische Erzeugung von Minimalfliichen... | |
 | Electronic journals - 1905 - 434 pages
...integration of a partial differential equation of the Laplace type. It will be convenient to refer to all the surfaces with the same spherical representation of their lines of curvature as forming a group or class. In §2, we consider particular ^-surfaces and notice first of all that the... | |
 | Circolo matematico di Palermo - Mathematics - 1906 - 710 pages
...Circ. HnltH. Palermo, vol. HI (190«). — Sumpito ¡1 24 giugno 1908. Î Luther Pfahler Eisenhart, Surfaces with the same Spherical Representation of their Lines of Curvature as Spherical Surfaces (19-42). — Heman Burr Leonard, On the Factoring of Composite Hypercomplex Number... | |
 | Mathematics - 1907 - 704 pages
...of quadric inversion , which is birational for the entire plane" (p. 10—18). 0'5ma. LP EISENHART. Surfaces with the same Spherical Representation of their Lines of Curvature as Spherical Surfaces. The author considers the surfaces mentioned above with a view to deriving significant... | |
 | Electronic journals - 1908 - 554 pages
...but for complicated Pt the number of particular cases becomes very large. UNIVEBSITT, December, 1906. Surfaces with the same Spherical Representation of their Lines of Curvature as Splierical Surfaces. BY LUTHER PFAHLEK EISENHART. INTRODUCTION. In several memoirs * we have studied... | |
 | National Academy of Sciences (U.S.) - Electronic journals - 1916 - 834 pages
...equations is completely integrable provided that d»\VG~ dp / dp\\/£ dw / This condition characterizes surfaces with the same spherical representation of their lines of curvature as isothermic surfaces. Then we establish the fundamental theorem: In order that the surface of centers... | |
 | Raymond Clare Archibald - Mathematics - 1938 - 344 pages
..."Three particular systems of lines on a suriace," AMS Trans., v. 5, 1904, p. 421-437. 16. "Suriaces with the same spherical representation of their lines of curvature as pseudospherical surlaces," AJM, v. 27, 1905, p. 113-172. 17. "On the deformation of suriaces of translation," AMS BulL,... | |
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Surfaces With the Same Spherical Representation of Their Lines of Curvature as Spherical Surfaces... 
