The Indian Mathematical Tradition

This diagram illustrates the Meru Prastara, an ancient Indian mathematical concept equivalent to Pascal's triangle. Found in Bhaskara II's 12th-century work 'Lilavati', it demonstrates the sophisticated understanding of combinatorial analysis in classical Indian mathematics centuries before similar developments in Europe.

A page from a 1912 scholarly edition of the 9th-century Sanskrit mathematical treatise 'Gaṇitasārasaṅgraha' by Mahāvīra. It features numbered diagrams illustrating various curvilinear areas such as conchiform, concave, and convex shapes, alongside different forms of the annulus. The text serves to translate and preserve medieval Indian geometric concepts for a modern academic audience.

This geometric diagram illustrates fundamental trigonometric concepts from Bhaskaracharya II's 12th-century treatise, Siddhanta Shiromani. It depicts a quadrant of a circle with labels for 'jya' (sine) and 'utkramajya' (versine), demonstrating the advanced mathematical knowledge of medieval India.

A series of right-angled triangles illustrating the Pythagorean theorem applications from the Lilavati.

This hand-drawn geometric diagram, highlighted in red, is a technical illustration from Kamalakara's 'Siddhanta Tattva Viveka'. It depicts spherical trigonometric principles used in 17th-century Indian astronomy to calculate celestial movements and planetary positions.

This geometric diagram illustrates astronomical principles from Bhaskaracharya II's 12th-century treatise, Siddhanta Shiromani. It depicts the relationship between different celestial circles, likely used to calculate planetary positions or eclipses, showcasing the advanced state of medieval Indian mathematics.

This circular diagram illustrates the method for determining the lords of the year, month, day, and hour (Hora) as described in the Surya Siddhanta, a foundational text of Indian astronomy. The diagram maps the sequence of the days of the week (Vara) and their corresponding planetary rulers, providing a visual aid for complex calendrical calculations.

A page from the 1912 English translation of the 'Gaṇitasārasaṅgraha', a seminal Sanskrit mathematical treatise authored by the 9th-century Jain scholar Mahāvīrācārya. This section of Chapter VII, 'Calculation Relating to the Measurement of Areas,' provides a systematic classification of triangles—equilateral, isosceles, and scalene—illustrated with precise geometric line diagrams. The text demonstrates the sophisticated state of medieval Indian geometry and the formal categorization of 'trilateral,' 'quadrilateral,' and 'curvi-linear' forms.

This circular diagram from the Surya Siddhanta illustrates the traditional Indian astronomical understanding of the planets' order based on their distance from Earth. It maps out the sequence of planetary rulers for hours, days, and years, reflecting the intricate mathematical and cosmological systems of ancient India.