A well-designed quote conveys interesting and often powerful ideas and makes one think for a time disproportionately longer than the length of the quote.
I have decided to add a quotes collection on my page. I try to restrict to quotes pertaining to Academia, but I can't promise I won't divert.
Anyway, here is a quote that impressed me today:
Back to the affine plane, however, even under ideal schooling circumstances, what makes the affine plane so elusive is the quick passage from Euclidean geometry to coordinate geometry (thanks Descartes!). Typically (I guess not any more), a schoolchild would learn a lot of Euclidean geometry in school but then pass on quickly to linear algebra in his/her first-year university course. The affine (and so goes for the projective) plane, responsible for a lot of elementary mathematics, would go by very quickly, if at all.
Pondering the Coxeter quote carefully is, perhaps, all is needed in order that the affine plane be re-surfaced from the stack of one's toolset.
I have decided to add a quotes collection on my page. I try to restrict to quotes pertaining to Academia, but I can't promise I won't divert.
Anyway, here is a quote that impressed me today:
- Most [people] discover that they have often be working in the affine plane without realizing that it could be so designated. (H.S.M. Coxeter)
Back to the affine plane, however, even under ideal schooling circumstances, what makes the affine plane so elusive is the quick passage from Euclidean geometry to coordinate geometry (thanks Descartes!). Typically (I guess not any more), a schoolchild would learn a lot of Euclidean geometry in school but then pass on quickly to linear algebra in his/her first-year university course. The affine (and so goes for the projective) plane, responsible for a lot of elementary mathematics, would go by very quickly, if at all.
Pondering the Coxeter quote carefully is, perhaps, all is needed in order that the affine plane be re-surfaced from the stack of one's toolset.
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