पृष्ठम्:रेखागणितम् (द्वितीयः भागः).pdf/२४७

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18 the sacrificial priest to measure the side of a square altar. It then came to mean the side of a square and lastly the square root of a number which cannot be worked out exact, but which can be represented only graphically. Vide Dr. Thebaut's Article on the S'ulva Sutras in the Journal of the Asiatic Society of Bengal 1875, pp. 274-5. Prop. XV. If the sides containing a rectangle be rational, the rectangle shall also be rational. अङ्कसंज्ञाई=rational. Prop. XVII It teaches what a medial superficies and a medial line are. A rectangle which has its sides commensurable in power only and not in length shall be irrational and is called a medial superficies; and the line the square of which is equal to this figure is irrational and is called a medial line. Prop. XXXIV. It teaches the formation of the first bi-medial line. If two medial lines commensurable in power only and containing a rational superficies be added together the line thus formed shall be irrational and is called the first bi-medial line. Prop. XXXV. It teaches the formation of the second bi-medial line. If two medial lines commensurable in power only and containing a medial superficies be added together, the whole line is irrational and is called the second bi-medial line. Prop. XXXVI. अधिक रेखा - A greater line. If two lines be incommensurable in power, the sum of their squares be rational and twice their rectangle be a medial superficies, then the whole line formed by these two lines shall be irrational and is called a greater line. Second definitions P. 90. -The first binominal line.