🔬 Discovery

Barycentric coordinate system

Coordenadas baricéntricas

Date
1827 · confidence high
Place
Leipzig, Germany
Credited to
August Ferdinand Möbius
Field
Knowledge & symbols

What was discovered

A coordinate system that locates a point relative to the vertices of a simplex (triangle, tetrahedron...) using weighted masses whose center of gravity is that point.

Introduced by Möbius in his work 'Der barycentrische Calcül' (1827).

What it led to

  • Tools for affine and projective geometry
  • Use in computer graphics to interpolate across triangles
🕸️ View in the graph

Built on

  • Cartesian coordinates

Made possible

Links

Sources✓ verified 2026-09-28