Some cubic curves associated with a triangle (Q1895161)
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scientific article; zbMATH DE number 785146
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some cubic curves associated with a triangle |
scientific article; zbMATH DE number 785146 |
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Some cubic curves associated with a triangle (English)
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15 August 1995
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A very nice paper in ``old'' geometric style with highly elaborated drawings. It investigates a family of cubic curves through the vertices and other important points of a triangle in the real plane. In particular those which are invariant under the operations of isogonal conjugacy are here analyzed by various methods. Some misprints in \textit{F. Morley} and \textit{F. V. Morley} [``Inversive geometry'', London: Bell (1933; Zbl 0009.02908)] are corrected.
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trilinear coordinates
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isogonal conjugates
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auto-isogonal cubics
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cubic curves
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polar conic
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circular cubics
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Euler pencil
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Darboux cubic
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McCay cubic
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Thomson cubic
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Neuberg cubic
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Neuberg group
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Möbius involution
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