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I share your admiration for Needham's book! One of my favorites is Geometry and the Imagination by David Hilbert and Stephan Cohn-Vossen. Some of its their figures are stunning, almost works of art, and of course all drawn before computers! Here they are explaining how one ellipsoid, one hyperboloid of one sheet, and one hyperboloid of two sheets, pass through any point in space:
alt text

show/hide this revision's text 3 Added sample figure.

I share your admiration for Needham's book! One of my favorites is Geometry and the Imagination by David Hilbert and Stephan Cohn-Vossen. Some of its figures are stunning, almost works of art, and of course all drawn before computers! Here they are explaining how one ellipsoid, one hyperboloid of one sheet, and one hyperboloid of two sheets, pass through any point in space:
alt text

show/hide this revision's text 2 Added Google books link.

I share your admiration for Needham's book! One of my favorites is Geometry and the Imagination by David Hilbert and Stephan Cohn-Vossen. Some of its figures are stunning, almost works of art, and of course all drawn before computers!

show/hide this revision's text 1