Karl von Staudt unusually defined the set of these objects as being the point set of all absolute points of a polarity.
Karl von Staudt unusually defined the set of these objects as being the point set of all absolute points of a polarity. In projective geometry, a transversal that intersects one of these objects that circumscribes a quadrangle will have three pairs of points that forms an involutionby Desargues's theorem. Another theorem in projective geometry states that if the six points that define a hexagon lie on one of these objects, the points of intersection of the opposite sides will lie along the Pascal line. In a treatise named for these objects which introduced the infinity symbol, John Wallis proved that these entities correspond exactly to the set of nondegenerate curves with degree 2. These objects, which can be imagined as quadrics of one dimension, are formed by intersecting a namesake 3D shape with a plane. For 10 points, name these shapes that includes the circle, hyperbola, ellipse and parabola.
Karl von Staudt unusually defined the set of these objects as being the point set of all absolute points of a polarity.
conic sections [anti-prompt on circle, or hyperbola, or "ellipse," or "parabola" before "nondegenerate" do 