Five circles theorem
{{short description|Derives a pentagram from five chained circles centered on a common sixth circle}}
Image:Five circles theorem.svg
In geometry, the five circles theorem states that, given five circles centered on a common sixth circle and intersecting each other chainwise on the same circle, the lines joining their second intersection points forms a pentagram whose points lie on the circles themselves.
See also
References
- {{cite book | author = Wells D | year = 1991 | title = The Penguin Dictionary of Curious and Interesting Geometry | publisher = Penguin Books | location = New York | isbn = 0-14-011813-6 | pages = [https://archive.org/details/penguindictionar0000well/page/79 79] | url = https://archive.org/details/penguindictionar0000well/page/79 }}
External links
- {{MathWorld|title=Miquel Five Circles Theorem|urlname=MiquelFiveCirclesTheorem}}
- {{MathWorld|title=Miquel Pentagram Theorem|urlname=MiquelsPentagramTheorem}}