पृष्ठम्:रेखागणितम् (द्वितीयः भागः).pdf/२४४

विकिस्रोतः तः
एतत् पृष्ठम् अपरिष्कृतम् अस्ति

its measures. Thus the numbers that measure 6 are 1, 2, and 3 and their sum (1+2+3) is 6. The numbers that measure 28 are 1, 2, 4, 7 and 14 and their sum (1+2+4+7+14) is 28. A list of such numbers is given in the Introduction to Vol. I. Vide Intro. p. 12 foot note. 10 Prop. I. अपवर्त्तनाङ्क= A common measure, Prop. IV. A small number or quantity is a part of a large number or of its multiple. Prop. VI. यावदंश:- Parts. Bil's def. of parts is as under:- When a less number does not measure a greater one, the less is parts of the greater. The enunciation of Prop. VI. is- If two numbers are the same parts of two other numbers, then the sur of the first two shall be the same parts of the sum of the second two. 6 and 8 are the same parts of 9 and 12, therefore 14 is the same parts of 21. Prop. XI. निष्पत्ति = Ratic. Prop. XXVIII The latter part of the definition seems faulty. 'aar aragraft भिश्रौ भविष्यतः should be the reading in place of 'तदा तदङ्योगयो रन्तरमपि भिनं भविष्यति ।। Prop. XXXVII. If one number measures another number, the quotient is a part called by that name (i. e. by the name of the divisor). Bil's enunciation of it is as under:-

  • If a number measure any nurober, the number measured

shall have a part after the denomination, of the number measuring. The Prop. means that if 3 measure any number, that number