01:31
More geometry stuff, about finding a complete theory for elliptic geometry, and finding a signature which is maximally expressive in the intended semantics.
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Congruency works just as well in elliptic and spherical geometries, and it also works just as well in any higher dimensions, $2$ or more. Congruency can be used to define every geometric relation, including various notions of betweenness, separation, colinearity, and the order-type for lengths. T...
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