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Five circles theorem ; Five color theorem (graph theory) Fixed-point theorems in infinite-dimensional spaces; Flat torus theorem (geometric group theory) Floquet's theorem (differential equations) Fluctuation dissipation theorem ; Fluctuation theorem (statistical mechanics) Ford's theorem (number theory) Focal subgroup theorem (abstract algebra)
Print/export Download as PDF; Printable version; In other projects Wikimedia Commons; Wikidata item; ... Pages in category "Theorems in geometry"
The second theorem considers five circles in general position passing through a single point M. Each subset of four circles defines a new point P according to the first theorem. Then these five points all lie on a single circle C. The third theorem considers six circles in general position that pass through a single point M. Each subset of five ...
Download as PDF; Printable version; In other projects ... De Bruijn–Erdős theorem (incidence geometry) Desargues's theorem; F. Five points determine a conic;
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.
Absolute geometry is an extension of ordered geometry, and thus, all theorems in ordered geometry hold in absolute geometry. The converse is not true. The converse is not true. Absolute geometry assumes the first four of Euclid's Axioms (or their equivalents), to be contrasted with affine geometry , which does not assume Euclid's third and ...