Descartes' Theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Kissing_Circle_Theorem
gptkbp:appliesTo tangent circles
gptkbp:describes relationship between four mutually tangent circles
gptkbp:dimensions 2
gptkbp:field gptkb:geometry
gptkbp:form (k1 + k2 + k3 + k4)^2 = 2(k1^2 + k2^2 + k3^2 + k4^2)
gptkbp:generalizes gptkb:Soddy's_formula
https://www.w3.org/2000/01/rdf-schema#label Descartes' Theorem
gptkbp:namedAfter gptkb:René_Descartes
gptkbp:publishedIn 1643 letter to Princess Elisabeth of Bohemia
gptkbp:relatedTo gptkb:Apollonian_gasket
circle packing
gptkbp:usedIn complex analysis
number theory
fractal geometry
gptkbp:bfsParent gptkb:Soddy_circle
gptkbp:bfsLayer 6