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Titlebook: Geometry; A Metric Approach wi Richard S. Millman,George D. Parker Textbook 19811st edition Springer-Verlag Inc. 1981 Cartesian.Euclid.Geom

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https://doi.org/10.1007/978-3-663-07179-2ned two segments to be parallel if no matter how far they are extended in both directions, they never meet. Note that he was interested in . rather than .. This follows the general preference of the time for finite objects. The idea of . meeting is, however, infinite in nature. How then does one determine if two lines are parallel?
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Diskussion der Versuchsergebnisse, We shall be interested in, among other things, the sum of the measures of the angles of a triangle, in the behavior of the critical function, in classifying types of parallel Unes, and in the determination of an absolute unit of length.
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https://doi.org/10.1007/978-3-663-07183-9 object to another. Such functions are most interesting when they preserve special properties of the objects. If . = {.,ℒ,.} and .′ = {.′,ℒ′,.} are metric geometries and if ϕ:.→.′; is a function, what geometric properties could we reasonably require ϕ to have?
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The Theory of Parallels,ned two segments to be parallel if no matter how far they are extended in both directions, they never meet. Note that he was interested in . rather than .. This follows the general preference of the time for finite objects. The idea of . meeting is, however, infinite in nature. How then does one determine if two lines are parallel?
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The Theory of Isometries, object to another. Such functions are most interesting when they preserve special properties of the objects. If . = {.,ℒ,.} and .′ = {.′,ℒ′,.} are metric geometries and if ϕ:.→.′; is a function, what geometric properties could we reasonably require ϕ to have?
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