3D Co-ordinate System First Mentioned in Nyaya Vartika Tatparya Tika

 

There are a lot of things and facts which we don’t know but that was first done by Indians. Isn’t it interesting to know that 3D coordinate system was first introduced by an Indian, that’s why India is called Land of Knowledge! There were a lot of sages and saints who were great scholar, who had more knowledge but the reason we are not aware of that because we have heard anything about them.

Bharatvarsha Vachaspati (850 A.D), the doctor of Nyaya (logic), anticipated in a rudimentary gave the principle of co-ordinate (solid) geometry eight centuries before Descartes (1596-1650). Vachaspati’s claims are thus presented:

“To conceive position in space, Vachaspati takes three axes, one proceeding from point of sunrise in the horizon to that of sunset, on any particular day (from east to west); a second bisecting this line at right angles on the horizontal plane (from north to south); and third proceeding from point of their section up to the meridian section of the sun on that day (up and down). The three axes were termed as Purva-Paschima, Uttar-Dakshina, Urdhva-Adhara. The position of any point is given by measuring the distance along these directions.  

The position of any point in space, relatively to another point may now be given by measuring distances along these three directions, reference to the three axes. It must be admitted in all fairness that by dint of clear thinking it anticipates in a rudimentary manner the foundations of co-ordinate geometry.

The great Brahmana Vachaspati Mishra, who described as “Sarva Tantra Svatantra” provides a model that is equivalent to the 3D Cartesian system in his work Vartika Tatparya Tika to describe molecular/atomic contacts. The position of contacts between atoms can then be given as numerical series of these coordinates.

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