Euclidean Geometry is based upon the premise that with anypoint there is only one line that have the right to be attracted parallel come anotherline. The is based upon the geometry the the Plane.

There room basically 2 civicpride-kusatsu.net to your question:

(i) with any point there space NO present that have the right to be drawnparallel come a offered line (e.g. The geometry top top the Earth"s surface,where a line is characterized as a an excellent circle. (Elliptic Geometry)

(ii) Through any point, over there is one INFINITE number of linesthat deserve to be attracted parallel of a provided line. (I think this isreferred to together Riemannian Geometry, yet someone else needs toadvise united state on this)

Both that these space fascinating topics come study.

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