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In ordinary geometry a surface is conceived as a locus of points; in Lie's geometry it appears as the totality of all the spheres having contact with the surface.

— Felix Klein

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More quotes by Felix Klein

Mathematics in general is fundamentally the science of self-evident things.

Anwendung der Differential-und Integralrechnung auf Geometrie (1920)

It has been the final aim of Lie from the beginning to make progress in the theory of differential equations ...

If we really desire to advance to a full understanding of the theory of logarithms, it is best to follow in broad outline the history of its creation.

Elementarmathematik vom höheren Standpunkte aus (1908)

As regards quartic surfaces, Rohn has investigated an enormous number of special cases; but a complete enumeration he has not reached. Among the special surfaces of the fourth order the Kummer surface with 16 conical points is one of the most important. The models constructed by Plücker in connection with his theory of complexes of lines all represent special cases of the Kummer surface.

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Quote text and notes from Wikiquote: Felix Klein (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.