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Excerpt from Plane Cubics With a Given Quadrangle of Inflexions: A DissertationThen, as is known, the pencil of conics through the four points has a real common self-polar triangle with A, the intersection of the two given lines, as a vertex and bc, the polar line of A with respect to the given conic, as a side. It is further known that the remaining vertices B, C may be determined by a quadratic construction and hence, since every quadratic c...

Excerpt from Plane Cubics With a Given Quadrangle of Inflexions: A DissertationThen, as is known, the pencil of conics through the four points has a real common self-polar triangle with A, the intersection of the two given lines, as a vertex and bc, the polar line of A with respect to the given conic, as a side. It is further known that the remaining vertices B, C may be determined by a quadratic construction and hence, since every quadratic c...