"चक्रवाल विधि": अवतरणों में अंतर

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पंक्ति 9:
: ''चतुर्द्वेकयुतावेवमभिन्ने भवतः पदे।
: ''चतुर्द्विक्षेपमूलाभ्यां रूपक्षेपार्थभावना॥<ref>[https://www.imsc.res.in/~knr/acadimsc13/mds.pdf The Chakraval method for solving quadratic indeterminate equations] by MD Shrinivas</ref>
: (Considering the lesser root, greater root and interpolator (क्षेप) as the dividend, addend and divisor respectively of (pulversier) the indeterminate multiplier of it should be so taken as will make the residue of the प्रकृति diminished by the square of that multiplier or the latter minus the प्रकृति (as the case may be) to be the least. That residue divided by the (original) interpolator is the (new) interpolator; it should be reversed in sign in case of the subtraction from the प्रकृति. The quotient corresponding to that value of the multiplier is the (new) lesser root, like wise is obtained the greater root. The same process should be followed putting aside (each time) the previous roots and the interpolator. This processiscalled चक्रवाल (or the cyclic method). By this method, there will appear two integral roots corresponding to an equation with ±1, ±2 or ±4 as interpolator. In order to derive integral roots corresponding to an equation with additive unity from those of the equation with the interpolator ±2 or ±4, भावना (should be applied).
root. The same process should be followed putting aside (each time) the previous roots and the interpolator. This processiscalled चक्रवाल (or the cyclic method). By this method, there will appear two integral roots corresponding to an equation with ±1, ±2 or ±4 as interpolator. In order to
derive integral roots corresponding to an equation with additive unity from those of the equation with the interpolator ±2 or ±4, भावना (should be applied).
 
==सन्दर्भ==