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Imaginary point : ウィキペディア英語版
Imaginary point
In geometry, in the context of a real geometric space extended to (or embedded in) a complex projective space, an imaginary point is a point not contained in the embedded space.
==Definition==
In terms of homogeneous coordinates, a point of the complex projective plane with coordinates (''a'',''b'',''c'') in the complex projective space for which there exists no complex number ''z'' such that ''za'', ''zb'', and ''zc'' are all real.
This definition generalizes to complex projective spaces. The point with coordinates
: (a_1,a_2,\ldots,a_n)
is imaginary if there exists no complex number ''z'' such that
: (za_1,za_2,\ldots,za_n)
are all real coordinates.〔.〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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