Nor can our Fansie imagine how there should be a Fourth Local Dimension beyond these Three.
Treatise of Algebra (1685)
“For as positio refers to a line, quadratum to the surface, and cubum to a solid body, it would be very foolish for us to go beyond this point. Nature does no permit it.”
The Great Rules of Algebra (1968)
Context: Although a long series of rules might be added and a long discourse given about them, we conclude our detailed consideration with the cubic, others being merely mentioned, even if generally, in passing. For as positio refers to a line, quadratum to the surface, and cubum to a solid body, it would be very foolish for us to go beyond this point. Nature does no permit it.
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Girolamo Cardano 17
Italian Renaissance mathematician, physician, astrologer 1501–1576Related quotes
Detached Pages, entry for 1913
Journals 1889-1949
Tanks for the Memories : Floatation Tank Talks (1995)<!-- . Nevada City, CA: Gateways -->
Context: At the highest level of satori from which people return, the point of consciousness becomes a surface or a solid which extends throughout the whole known universe. This used to be called fusion with the Universal Mind or God. In more modern terms you have done a mathematical transformation in which your centre of consciousness has ceased to be a travelling point and has become a surface or solid of consciousness... It was in this state that I experienced "myself" as melded and intertwined with hundreds of billions of other beings in a thin sheet of consciousness that was distributed around the galaxy. A "membrane".
25 February 1933, in a letter to L. Hogben. Printed in Natural Selection, Heredity, and Eugenics, J.H.Bennett, Oxford: Clarendon Press, 1983, p. 218.
1930s
The Notebooks of Leonardo da Vinci (1883), II Linear Perspective