Johnson circles and Nine-point circle

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

Difference between Johnson circles and Nine-point circle

Johnson circles vs. Nine-point circle

In geometry, a set of Johnson circles comprises three circles of equal radius r sharing one common point of intersection H. In such a configuration the circles usually have a total of four intersections (points where at least two of them meet): the common point H that they all share, and for each of the three pairs of circles one more intersection point (referred here as their 2-wise intersection). In geometry, the nine-point circle is a circle that can be constructed for any given triangle.

Altitude (triangle)

In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex).

Altitude (triangle) and Johnson circles · Altitude (triangle) and Nine-point circle · See more »

Circle

A circle is a simple closed shape.

Circle and Johnson circles · Circle and Nine-point circle · See more »

Circumscribed circle

In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon.

Circumscribed circle and Johnson circles · Circumscribed circle and Nine-point circle · See more »

Euler line

In geometry, the Euler line, named after Leonhard Euler, is a line determined from any triangle that is not equilateral.

Euler line and Johnson circles · Euler line and Nine-point circle · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

Geometry and Johnson circles · Geometry and Nine-point circle · See more »

Homothetic transformation

In mathematics, a homothety (or homothecy, or homogeneous dilation) is a transformation of an affine space determined by a point S called its center and a nonzero number λ called its ratio, which sends in other words it fixes S, and sends any M to another point N such that the segment SN is on the same line as SM, but scaled by a factor λ. In Euclidean geometry homotheties are the similarities that fix a point and either preserve (if) or reverse (if) the direction of all vectors.

Homothetic transformation and Johnson circles · Homothetic transformation and Nine-point circle · See more »

Medial triangle

The medial triangle or midpoint triangle of a triangle ABC is the triangle with vertices at the midpoints of the triangle's sides AB, AC and BC.

Johnson circles and Medial triangle · Medial triangle and Nine-point circle · See more »

Nine-point center

In geometry, the nine-point center is a triangle center, a point defined from a given triangle in a way that does not depend on the placement or scale of the triangle.

Johnson circles and Nine-point center · Nine-point center and Nine-point circle · See more »