Circle theorems are used in geometric proofs and to calculate angles. Part of Maths Geometry and measure Save to My BitesizeSave to My BitesizeSavingSavedRemovingRemove from My Bitesize ...

Circle theorems resource pack This bumper circle theorems resource pack contains a carefully selected compilation of exam questions with fully-worked solutions designed for students to go through at ...

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Descartes’ theorem, a cornerstone of geometry, defines the relationship between four mutually tangent circles. But for centuries, generalizing the equation to more than four circles had eluded ...

Left, a 3-flower. Right, a 5-flower. Credit: Journal of Geometry and Physics, 10.1016/j.geomphys.2025.105458 Monash University researchers have extended Descartes’ Circle Theorem by finding a general ...

Returning to Theorem 18, this now follows the amazing fact (19 – 22) that there are only finitely many commensurability classes of arithmetic reflection groups. The ones defined over Q, as supergroups ...