# पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/२७३

42 to 45. In a garden beautified by groves of various kinds of trees, in a place free from all living animals, many ascetics were seated. Of them the number equivalent to the square root of the whole collection were practising yōga at the foot of the trees. One-tenth of the remainder, the square root (of the remainder after deducting this), ${\displaystyle {\tfrac {1}{9}}}$ (of the remainder after deducting this), then the square root (of the remainder after deducting this), ${\displaystyle {\tfrac {1}{8}}}$(of the remainder after deducting this, the square root (of the remainder after deducting this), ${\displaystyle {\tfrac {1}{7}}}$(of the remainder after deducting this), the square root (of the remainder after deducting this), ${\displaystyle {\tfrac {1}{6}}}$( of the remainder after deducting this), the square root (of the remainder after deducting this),${\displaystyle {\tfrac {1}{5}}}$(of the remainder after deducting this), the square root (of the remainder after deducting this)—these parts consisted of those who were learned in the teaching of literature, in religious law, in logic, and in politics, as also of those who were versed in controversy, prosody, astronomy, magic, rhetoric and grammar and of those who possessed the power derived from the 12 kinds of austerities, as well as of those who possessed an intelligent knowledge of the twelve varieties of the ańga-śāstra; and