[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [The Science of the Shulba: A Study in Early Hindu Geometry](https://indike.org/pramana/ins.science.datta-1932) › c10.119 # The Science of the Shulba: A Study in Early Hindu Geometry c10.119 The Science of the Śulba: A Study in Early Hindu Geometry c10.119 - **Language:** English ### [c10.119](https://indike.org/pramana/ins.science.datta-1932.c10.119) From this we can easily guess the method that was generally followed in the \*Śulba\* for the construction of a parallelogram having given sides at a given inclination. Let A, B represent the given sides and the inclination be the same as that between the diagonal PR and the side \*PQ\* of the rectangle \*SRQP\*. Now draw the rectangle \*EDCP\* similar to the given rectangle such that its diagonal \*PD\* be equal to the given side \*B\*. Then draw the rectangle \*DE'P'C\* so that its side \*CP'\* be equal to the difference between \*A\* and \*PC\*. Now draw the rectangle \*E'D'C'P'\* equal to the rectangle \*EDCP\*. Join \*D'P'\*. Then \*DD'P'P\* is the required parallelogram. The Fig. 34 answers to the case when \*A\* \> \*PC\*. In case \*A\* \< \*PC\*, the rectangle \*DE'P'C\* - [Previous: c10.118](https://indike.org/pramana/ins.science.datta-1932.c10.118) - [Next: c10.120](https://indike.org/pramana/ins.science.datta-1932.c10.120) - [Up: c10](https://indike.org/pramana/ins.science.datta-1932.c10) --- Source: [https://indike.org/pramana/ins.science.datta-1932.c10.119](https://indike.org/pramana/ins.science.datta-1932.c10.119) · Pramāṇa