Five circles theorem
Encyclopedia
In geometry
, the five circles theorem states that, given five circle
s centered on a common sixth circle and intersecting each other chainwise on the same circle, the lines joining the their second intersection points forms a pentagram
whose points lie on the circles themselves.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the five circles theorem states that, given five circle
Circle
A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius....
s centered on a common sixth circle and intersecting each other chainwise on the same circle, the lines joining the their second intersection points forms a pentagram
Pentagram
A pentagram is the shape of a five-pointed star drawn with five straight strokes...
whose points lie on the circles themselves.