Geometry from vedic rituals to school mathematics: Postulates and content

Abstract

This article explores the geometric knowledge from the Sulba Sutra and its relevance to school geometry using historical research methods collecting historical documents and analyzing them. Key assumptions, theory, theorems and practices were taken from Vedic texts Sulba Sutra and school mathematics texts. It examines key assumptions (Postulates) of Vedic ritual geometry, such as the construction of altars using precise proportions, alongside the Jatya Tribhuj (early right-angled triangle) and the Bhoja Koti Karna Nayana (Sulba theorem on right-angled triangles). Additional topics include shape transformations, symmetry, and the use of mean proportion. The research traces the mathematical content in various Sulba Sutras and their historical development. Similarly, a correlation of contents in school mathematics was established logically.The study concludes that Vedic ritual geometry's principles align with fundamental school geometry topics. Incorporating these concepts into school curricula can enhance students' engagement and understanding by linking abstract mathematical ideas to historical and cultural practices. This approach promotes hands-on, inclusive learning, blending ancient geometric knowledge with modern education for a culturally responsive teaching framework.