Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Kissing_Circle_Theorem
|
| gptkbp:appliesTo |
gptkb:kissing_circles
tangent circles |
| gptkbp:describes |
relationship between four mutually tangent circles
|
| gptkbp:dimensions |
2D geometry
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:form |
(a + b + c + d)^2 = 2(a^2 + b^2 + c^2 + d^2)
|
| gptkbp:generalizes |
gptkb:Soddy's_formula
|
| https://www.w3.org/2000/01/rdf-schema#label |
Descartes' Circle Theorem
|
| gptkbp:namedAfter |
gptkb:René_Descartes
|
| gptkbp:publishedIn |
1643 letter to Princess Elisabeth of Bohemia
|
| gptkbp:relatedTo |
gptkb:Soddy_circles
gptkb:Apollonian_gasket circle packing |
| gptkbp:usedIn |
complex analysis
fractal geometry |
| gptkbp:variant |
a = curvature of first circle
b = curvature of second circle c = curvature of third circle d = curvature of fourth circle |
| gptkbp:bfsParent |
gptkb:Soddy_circles
|
| gptkbp:bfsLayer |
7
|