Can somebody expand on the fact that the projective plane is defined as the "set of equivalence classes of [itex]R^{3}/ (0,0,0)[/itex]"?(adsbygoogle = window.adsbygoogle || []).push({});

Why do we need to "delete the origin"???

I understand, I think, other definitions of it such as the set of lines in [itex]R^{3}[/itex] passing through the origin (0,0,0) like Wikipedia says; however, I can neither understand the first statement nor make a connection between the two.

Thank you

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# Projective plane

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