Page:Indian mathematics, Kaye (1915).djvu/62

 APPENDIX I. Extracts from Texts. The Śulvasūtras. 1. In the following we shall treat of the different manners of building the agni. 2. We shall explain how to measure out the circuit of the area required for them.

45. The cord stretched across a square produces an area of twice the size. 46. Take the measure for the breadth, the diagonal of its square for the length: the diagonal of that oblong is the side of a square the area of which is three times the area of the square.

48. The diagonal of an oblong produces by itself both the areas which the two sides of the oblong produce separately. 49. This is seen in those oblongs whose sides are three and four, twelve and five, fifteen and eight, seven and twenty-four, twelve and thirty-five, fifteen and thirty-six.

51. If you wish to deduct one square from another square cut off a piece from the larger square by making a mark on the ground with the side of the smaller square which you wish to deduct. Draw one of the sides across the oblong so that it touches the other side. Where it touches there cut off. By this line which has been cut off the small square is deducted from the large one.