Page:Indian mathematics, Kaye (1915).djvu/49

Date Circa.	Authority.	Value of $\scriptstyle {\pi }$
A.D.  150	Ptolemy	$\scriptstyle {3{\frac {17}{120}}}$	$\scriptstyle {=3\cdot 14166.}$
„   263	Liu Hiu	$\scriptstyle {3{\frac {7}{50}}}$	$\scriptstyle {=3\cdot 14.}$
„     ?	Puliśa	$\scriptstyle {3{\frac {177}{1250}}}$	$\scriptstyle {=3\cdot 1416.}$
„   450	Tsu Ch'ung-chi	$\scriptstyle {3{\frac {1}{7}}}$	$\scriptstyle {=3\cdot 14286.}$
„   500	Aryabhata	$\scriptstyle {3}$	$\scriptstyle {=3\cdot }$
	"	$\scriptstyle {\frac {62832}{20000}}$	$\scriptstyle {=3\cdot 1416.}$
	"	$\scriptstyle {\frac {3393}{1080}}$	$\scriptstyle {=3\cdot 14166.}$
„   628	Brahmagupta	$\scriptstyle {3}$	$\scriptstyle {=3\cdot }$
	"	$\scriptstyle {{\sqrt {10}}=3{\frac {1}{7}}}$	$\scriptstyle {=3\cdot 14286.}$
	"	$\scriptstyle {{\sqrt {10}}={\frac {721}{228}}}$	$\scriptstyle {=3\cdot 16228.}$
„   800	M. ibn Musa	$\scriptstyle {\sqrt {10}}$	$\scriptstyle {={\text{?}}}$
„   ?	Māhavīra	$\scriptstyle {3}$	$\scriptstyle {=3\cdot }$
	"	$\scriptstyle {\sqrt {10}}$	$\scriptstyle {={\text{?}}}$
„  1020	Srīdhara	$\scriptstyle {3}$	$\scriptstyle {=3\cdot }$
	"	$\scriptstyle {\sqrt {10}}$	$\scriptstyle {={\text{?}}}$
	"	$\scriptstyle {3{\frac {1}{6}}}$	$\scriptstyle {=3\cdot 1666.}$
„  1150	Bhāskara	$\scriptstyle {3}$	$\scriptstyle {=3\cdot }$
	"	$\scriptstyle {3{\frac {1}{7}}}$	$\scriptstyle {=3\cdot 14286.}$
	"	$\scriptstyle {3{\frac {17}{120}}}$	$\scriptstyle {=3\cdot 14166.}$
	"	$\scriptstyle {3{\frac {177}{1250}}}$	$\scriptstyle {=3\cdot 1416.}$
	Approximately correct value ..		$\scriptstyle {\ 3\cdot 14159.}$