Page:Indian mathematics, Kaye (1915).djvu/40

26—(a)

We conclude this section with a few illustrations transliterated from Sanskrit manuscripts.

	Indian Forms.			Equivalents.	References.
1.	yā  6 rū 300 yā 10 rū $\scriptstyle {1{\dot {0}}0}$			$\scriptstyle {6x+300=10x-100}$	V. 104.
2.	yāca 18 yā 0 rū  0 yāva 16 yā 9 rū 18			$\scriptstyle {18x^{2}+0x+0=16x^{2}+9x+18}$	Y. 133.
3.	yā ra ra 1 yā va $\scriptstyle {\dot {2}}$ yā 400 rū 0 yā ra ra 0 yā va 0 yā  0  rū 9999			$\scriptstyle {x^{4}-2x^{2}+400x+0=0.x^{4}+0.x^{2}+0.x+9999}$	V. 138.
4.	yā 197 kā $\scriptstyle {1{\dot {6}}44}$ nī $\scriptstyle {\dot {1}}$ rū 0 yā   0 kā 0    nī 0 rū 6302			$\scriptstyle {197x-1644y-z+0=0.x+0.y+0.z+6302}$	Br. xviii, 55.
5.	ka 6 ka 5 ka 2 ka 3			$\scriptstyle {{\sqrt {6}}+{\sqrt {5}}+{\sqrt {2}}+{\sqrt {3}}}$	V. 37.
6.	${\begin{array}{|c|c|c|c|}\hline \scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}\\\hline \scriptstyle {4}&\scriptstyle {3}&\scriptstyle {6}&\scriptstyle {12}\\\hline \end{array}}$			$\scriptstyle {{\frac {1}{4}}+{\frac {1}{3}}+{\frac {1}{6}}+{\frac {1}{12}}}$	S. 7.
7.	${\begin{array}{|c c|c c c|c c c c|}\hline \scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}&\scriptstyle {1}\\\scriptstyle {1}&\scriptstyle {2}&\scriptstyle {1}&\scriptstyle {2}&\scriptstyle {3}&\scriptstyle {1}&\scriptstyle {2}&\scriptstyle {3}&\scriptstyle {5}\\\hline \end{array}}$			$\scriptstyle {1\times {\frac {1}{2}}+1\times {\frac {1}{2}}\times {\frac {1}{3}}+1\times {\frac {1}{2}}\times {\frac {1}{3}}\times {\frac {1}{5}}}$
8.	${\begin{array}{|r|r|c|c c|}\hline \scriptstyle {10}&\scriptstyle {163}&\scriptstyle {4}&\scriptstyle {pha}&\scriptstyle {163}\\\scriptstyle {1}&\scriptstyle {60}&\scriptstyle {1}&&\scriptstyle {150}\\\hline \end{array}}$			$\scriptstyle {10:{\overset {163}{60}}::4:{\overset {163}{150}}}$	Bk. 27.
9.	${\begin{array}{|r|}\hline \scriptstyle {1}\\\scriptstyle {1}\\\scriptstyle {1}\\\scriptstyle {\dot {2}}\\\scriptstyle {2}\\\scriptstyle {\dot {9}}\\\scriptstyle {1}\\\scriptstyle {\dot {4}}\\\scriptstyle {6}\\\scriptstyle {\dot {10}}\\\hline \end{array}}$	10.	${\begin{array}{|r l|}\hline \scriptstyle {40}&\\\scriptstyle {1}&\\\scriptstyle {1}&\\\scriptstyle {3}&+\\\scriptstyle {1}&\\\scriptstyle {4}&+\\\scriptstyle {1}&\\\scriptstyle {5}&+\\\hline \end{array}}$	9. $\scriptstyle {(1-{\frac {1}{2}})(1-{\frac {2}{9}})(1-{\frac {1}{4}})(1-{\frac {6}{10}})}$ 10. $\scriptstyle {40(1-{\frac {1}{3}})(1-{\frac {1}{4}})(1-{\frac {1}{5}})}$	L. 53. Bk. 25.