Similarities between Conic section and Pappus's hexagon theorem
Conic section and Pappus's hexagon theorem have 8 things in common (in Unionpedia): Collinearity, Degenerate conic, Duality (projective geometry), Euclid, Line (geometry), Pappus of Alexandria, Pascal's theorem, Projective plane.
Collinearity
In geometry, collinearity of a set of points is the property of their lying on a single line.
Collinearity and Conic section · Collinearity and Pappus's hexagon theorem ·
Degenerate conic
In geometry, a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.
Conic section and Degenerate conic · Degenerate conic and Pappus's hexagon theorem ·
Duality (projective geometry)
In geometry, a striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this concept.
Conic section and Duality (projective geometry) · Duality (projective geometry) and Pappus's hexagon theorem ·
Euclid
Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".
Conic section and Euclid · Euclid and Pappus's hexagon theorem ·
Line (geometry)
The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.
Conic section and Line (geometry) · Line (geometry) and Pappus's hexagon theorem ·
Pappus of Alexandria
Pappus of Alexandria (Πάππος ὁ Ἀλεξανδρεύς; c. 290 – c. 350 AD) was one of the last great Greek mathematicians of Antiquity, known for his Synagoge (Συναγωγή) or Collection (c. 340), and for Pappus's hexagon theorem in projective geometry.
Conic section and Pappus of Alexandria · Pappus of Alexandria and Pappus's hexagon theorem ·
Pascal's theorem
In projective geometry, Pascal's theorem (also known as the hexagrammum mysticum theorem) states that if six arbitrary points are chosen on a conic (i.e., ellipse, parabola or hyperbola) and joined by line segments in any order to form a hexagon, then the three pairs of opposite sides of the hexagon (extended if necessary) meet in three points which lie on a straight line, called the Pascal line of the hexagon.
Conic section and Pascal's theorem · Pappus's hexagon theorem and Pascal's theorem ·
Projective plane
In mathematics, a projective plane is a geometric structure that extends the concept of a plane.
Conic section and Projective plane · Pappus's hexagon theorem and Projective plane ·
The list above answers the following questions
- What Conic section and Pappus's hexagon theorem have in common
- What are the similarities between Conic section and Pappus's hexagon theorem
Conic section and Pappus's hexagon theorem Comparison
Conic section has 141 relations, while Pappus's hexagon theorem has 28. As they have in common 8, the Jaccard index is 4.73% = 8 / (141 + 28).
References
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