In mathematics, Casey's theorem, also known as the generalized Ptolemy's theorem, is a theorem in Euclidean geometry named after the Irish mathematician ... Formulation of the theorem · Further generalizations

We present a proof of the generalized Ptolemy's theorem, also known as Casey's theorem and its applications in the resolution of difficult geometry problems ...

Casey's theorem: if t is the length of a common tangent of two circles of radii a and b , t^' is the length of the corresponding common tangent of their ...

So a week before I went for the Sharygin Finals, I striked upon this beautiful theorem, called Casey's Theorem (also known as Generalised Ptolemy's Theorem) ...

Casey's theorem can be extended to cover cases some Ck's are externally tangent to C. For this, define tik more generally to be the length of the external. ( ...

known result in plane geometry, the Generalized Ptolemy Theorem (GPT, for short), also known as Casey's Theorem (see Johnson[1]). Featured will be two ...

Casey's Theorem: if four circles are tangent to a fifth, their common tangents satisfy a Ptolemy-like identity.

10 авг. 2024 г. · Casey's theorem is an extension of Ptolemy's theorem: four points in Ptolemy's theorem are replaced by four circles, and distances between ...

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces ...

We obtain a hyperbolic version of Casey's theorem. A similar result is obtained in spherical geometry as well.