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- Imaginary_line_(mathematics) abstract "In geometry, an imaginary line is a straight line that only contains one real point. It can be proven that this point is the intersection point with the conjugated line.It is a special case of an imaginary curve.It can be proven that there exists no equation of the form in which a, b and c are all real coefficients. However there do exist equations of the form , but at least one of the coefficients need be nonreal.As follows, it can be proven that, if an equation of the form in which a, b and c are all real coefficients, exist, the straight line is a real line, and it shall contain an infinite number of real points.This property of straight lines in the complex projective plane is a direct consequence of the duality principle in projective geometry.In the complex plane (Argand Plane), we have a term called "imaginary axis".In Argand plane, y-axis is imaginary axis. All numbers in this axis are in form of 0+ib form.".
- Imaginary_line_(mathematics) wikiPageID "8088912".
- Imaginary_line_(mathematics) wikiPageRevisionID "557856277".
- Imaginary_line_(mathematics) hasPhotoCollection Imaginary_line_(mathematics).
- Imaginary_line_(mathematics) subject Category:Projective_geometry.
- Imaginary_line_(mathematics) comment "In geometry, an imaginary line is a straight line that only contains one real point. It can be proven that this point is the intersection point with the conjugated line.It is a special case of an imaginary curve.It can be proven that there exists no equation of the form in which a, b and c are all real coefficients.".
- Imaginary_line_(mathematics) label "Imaginary line (mathematics)".
- Imaginary_line_(mathematics) sameAs m.011bpbnx.
- Imaginary_line_(mathematics) sameAs Q6002522.
- Imaginary_line_(mathematics) sameAs Q6002522.
- Imaginary_line_(mathematics) wasDerivedFrom Imaginary_line_(mathematics)?oldid=557856277.
- Imaginary_line_(mathematics) isPrimaryTopicOf Imaginary_line_(mathematics).