Category
page 1Theorems about circles
inscribed angle
angle formed in the interior of a circle
butterfly theorem
theorem
Riemann curvature tensor
tensor field in general relativity and geometry
Casey’s theorem
theorem
Descartes' theorem
theorem
inscribed angle theorem
theorem in elementary geometry
pizza theorem
equality of areas of alternating sectors of a disk with equal angles through any interior point
intersecting chords theorem
relates the four line segments created by two intersecting chords within a circle
Monge's theorem
theorem that the intersections of the 3 pairs of external tangent lines to 3 circles are collinear
Five circles theorem
tangent-secant theorem
relates line segments created by a secant with a tangent line
intersecting secants theorem
relates the line segments created by two intersecting secants and the associated circle
seven circles theorem
about a chain of six circles tangent to a seventh circle and each to its 2 neighbors
Six circles theorem
relates to a chain of six circles together with a triangle
Clifford's circle theorems
Constant chord theorem
an invariant cord in one of two intersecting circles based on any point in the other
eyeball theorem
statement in elementary geometry
Schinzel's theorem
theorem about circles having a given number of lattice points
circle packing theorem
theorem describing the possible tangency relations between circles in the plane whose interiors are disjoint