17 the less by bhe square of a line incommensurable in length to it, ., to the greater part. Propositions from 45 to 50 show how these lines are found out III. A first birmedial line ( प्रथममभ्ययोगोरेख ) is defined in Prop. 37 as an irrational line composed of two medial lines, commensurable in power only, containing a rational superficies, IV. A second bimedial line (द्वितीयमवयोगरे) is an irra tional ine composed of two medial lines, commensurable in power only and containing a medial superficies Prop88 teaches how to form this line. . A greater line (अधिकरेला ), which is taught in Prop. 88, is an irrational line composed of two lines which are incommen surable in power, she squarsof which, taken together, make a rational superficies and twice the rectangle contained by which makes a medial superficies. VIL A line containing in power a national and a media superficies (करणीगता अस्या श्वोऽस्ति) is next taken up in Prop. 40. It is an irrational line composed of two lines which are incommensurable in power, bhe squares of which added together make a medial superficies, but the superficies which they contain is rational. VIL A line containing in power two medial superficies (करणीगता कस्बा बर्गा सध्यरेखाद्वयवयोगतुल्यो भवति ) is an ira tional line composed of two lines which are inconmensurable in power, the squares of which added together make a medial superficies, but the superficies which they contain is me. dial, incommensurable to that which is composed of the two squares added together. This line is taught in Prop. 41. Propositions 42 to 69 deal with bhe properties of the above lines. The next line taken up is VIII. The residual line (अन्तररेखा ). 'The metbhod of form ing bhe line is taught in Prop. 70. It is an irrational line which is left when from a rational line given is taken a ra ion line commensurable to the whole in power only.
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