Conic section and Projective harmonic conjugate

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Conic section and Projective harmonic conjugate

Conic section vs. Projective harmonic conjugate

In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. In projective geometry, the harmonic conjugate point of an ordered triple of points on the real projective line is defined by the following construction: The point D does not depend on what point L is taken initially, nor upon what line through C is used to find M and N. This fact follows from Desargues theorem.

Similarities between Conic section and Projective harmonic conjugate

Conic section and Projective harmonic conjugate have 8 things in common (in Unionpedia): Apollonian circles, Karl Georg Christian von Staudt, Mathematical Association of America, Point at infinity, Pole and polar, Projective geometry, Real number, Synthetic geometry.

Apollonian circles

Apollonian circles are two families of circles such that every circle in the first family intersects every circle in the second family orthogonally, and vice versa.

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Karl Georg Christian von Staudt

Karl Georg Christian von Staudt (24 January 1798 – 1 June 1867) was a German mathematician who used synthetic geometry to provide a foundation for arithmetic.

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Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

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Point at infinity

In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.

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Pole and polar

In geometry, the pole and polar are respectively a point and a line that have a unique reciprocal relationship with respect to a given conic section.

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Projective geometry

Projective geometry is a topic in mathematics.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Synthetic geometry

Synthetic geometry (sometimes referred to as axiomatic or even pure geometry) is the study of geometry without the use of coordinates or formulas.

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The list above answers the following questions

What Conic section and Projective harmonic conjugate have in common
What are the similarities between Conic section and Projective harmonic conjugate

Conic section and Projective harmonic conjugate Comparison

Conic section has 141 relations, while Projective harmonic conjugate has 34. As they have in common 8, the Jaccard index is 4.57% = 8 / (141 + 34).

References

This article shows the relationship between Conic section and Projective harmonic conjugate. To access each article from which the information was extracted, please visit:

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