Brahmagupta theorem
Teorema de Brahmagupta
- Date
- 628 · confidence medium
- Place
- Bhinmal, Rajasthan, India
- Credited to
- Brahmagupta
- Field
- Knowledge & symbols
What was discovered
A geometry theorem stating that in a cyclic quadrilateral with perpendicular diagonals, the perpendicular from the diagonals' intersection point to one side always bisects the opposite side. It appears in Brahmagupta's 'Brahmasphutasiddhanta'.
Distinct from Brahmagupta's formula for the area of a cyclic quadrilateral; both results appear in the same work by the Indian mathematician (628).
What it led to
- development of Indian geometry of cyclic quadrilaterals
- further properties of orthodiagonal quadrilaterals later studied in Europe
- application to bisection and geometric-construction problems