Ellipse and Inversive geometry

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

Difference between Ellipse and Inversive geometry

Ellipse vs. Inversive geometry

In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called inversion.

Similarities between Ellipse and Inversive geometry

Ellipse and Inversive geometry have 8 things in common (in Unionpedia): Cartesian coordinate system, Circle, Concentric objects, Perpendicular, Plane (geometry), Pole and polar, Similarity (geometry), Translation (geometry).

Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

Cartesian coordinate system and Ellipse · Cartesian coordinate system and Inversive geometry · See more »

Circle

A circle is a simple closed shape.

Circle and Ellipse · Circle and Inversive geometry · See more »

Concentric objects

In geometry, two or more objects are said to be concentric, coaxal, or coaxial when they share the same center or axis.

Concentric objects and Ellipse · Concentric objects and Inversive geometry · See more »

Perpendicular

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).

Ellipse and Perpendicular · Inversive geometry and Perpendicular · See more »

Plane (geometry)

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.

Ellipse and Plane (geometry) · Inversive geometry and Plane (geometry) · See more »

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.

Ellipse and Pole and polar · Inversive geometry and Pole and polar · See more »

Similarity (geometry)

Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other.

Translation (geometry)

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

Ellipse and Translation (geometry) · Inversive geometry and Translation (geometry) · See more »

The list above answers the following questions

What Ellipse and Inversive geometry have in common
What are the similarities between Ellipse and Inversive geometry

Ellipse and Inversive geometry Comparison

Ellipse has 182 relations, while Inversive geometry has 82. As they have in common 8, the Jaccard index is 3.03% = 8 / (182 + 82).

References

This article shows the relationship between Ellipse and Inversive geometry. To access each article from which the information was extracted, please visit:

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