Something that exists nowhere and exists along the lines of Euclidean geometry , judging by what I understand of it, cannot exist.
The apparatus of algebraic geometry is built upon polars, and these upon distances.
Van Schooten was one of the main people to promote the spread of Cartesian geometry .
He goes on to consider solid geometry giving results on prisms, cylinders, and spheres.
Galileo's idea was to overcome this subjectivity and relativity by applying pure geometry and the mathematics of the pure form of space-time to nature.
As analysis began to mix inextricably with geometry and the other branches of mathematics, the curiosities multiplied.
This is used in ophthalmic surgery to maintain the geometry of the eye, and can also be used for therapeutic treatments involving osteoarthritis and wound healing.
the geometry of spiders' webs
He had a distinguished career as a math professor, specializing in algebra, algebraic geometry and number theory.
Under Lane she studied projective differential geometry and submitted her dissertation on Singularities of Space Curves.