Prof. Verma began the session by tracing the origins of the Pythagorean Theorem, starting with the Greek mathematician Pythagoras. He emphasised that while the theorem is named after Pythagoras, its knowledge predates him. Notable examples include ancient Babylonian artefacts such as the Clay Tablet YBC 7289 and Plimpton 322, both of which demonstrate an advanced understanding of right-angled triangles.

He then explored contributions from Indian mathematics, particularly the Sulbha Sutras, which used early forms of the theorem in constructing geometrically precise fire altars. Prof. Verma also highlighted ancient Chinese mathematics, referencing The Nine Chapters on the Mathematical Art, a text that illustrates practical applications of geometric principles.

The lecture moved on to the Museum of Alexandria, an ancient Egyptian centre of learning that played a critical role in preserving and developing mathematical knowledge. This discussion naturally led to Euclid, whose seminal work The Elements laid the groundwork for formal geometry. Prof. Verma noted its enduring value as a model of mathematical exposition and reasoning.

To illustrate the theorem in practice, he presented a geometric proof from Book I of The Elements, followed by a unique proof devised by James Garfield, the 20th U.S. President and a mathematics enthusiast. He also discussed generalisations of the theorem for non-right-angled triangles and introduced a geometric method for generating Pythagorean triplets.

The session concluded with a segment on Diophantus, known as the “father of algebra,” whose work furthered the tradition of algebraic and numerical problem-solving, influencing many later mathematicians.

Conclusion

Prof. Verma’s lecture provided a rich and engaging journey through the historical, cultural, and mathematical development of the Pythagorean Theorem. Combining history, logic, and geometry, the session offered both depth and clarity, showcasing the theorem’s enduring legacy across civilisations.

 

Prepared by

Isaac Faleiro
Class XI
Aryaan Mushtifund