The world of geometry just witnessed a pivotal breakthrough. Mathematicians at Monash University have cracked a centuries-old puzzle dating back to the 17th century, extending Descartes’ Circle ...

2025.105458 Monash University researchers have extended Descartes’ Circle Theorem by finding a general equation for any number of tangent circles, using advanced mathematical tools inspired by physics ...

Perform calculations on lines, polygons, planes and circles, including normals, intersections of objects, distance between objects, and tangent lines. Throughout this library, lines can be treated as ...