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| In {\sl The Elements\/}, Euclid defines a point as that which has no part. |
In {\sl The Elements\/}, Euclid defines a point as that which has no part. |
| In a vector space, an affine space, or, more generally, an incidence geometry, a {\sl point\/} is a \PMlinkname{zero}{Zero} \PMlinkname{dimensional}{Dimension3} \PMlinkescapetext{object}. |
In a vector space, an affine space, or, more generally, an incidence geometry, a {\sl point\/} is a \PMlinkname{zero}{Zero} \PMlinkname{dimensional}{Dimension3} \PMlinkescapetext{object}. |
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| In a projective geometry, a {\sl point\/} is a one-dimensional subspace of the vector space underlying the projective geometry. |
In a projective geometry, a {\sl point\/} is a one-dimensional subspace of the vector space underlying the projective geometry. |
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| In a topology, a {\sl point\/} is an element of a topological space. |
In a topology, a {\sl point\/} is an element of a topological space. |
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Notice that there is also the possibility for a point-free approach to geometry in which the point are not assumed as a primitive. Instead the points are defined by suitable abstraction processes. |
| Notice that there is also the possibility for a point-free approach to geometry in which the point are not assumed as a primitive. Instead the points are defined by suitable abstraction processes (see point-free geometry). |
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