Title 九州大学所蔵 : 中国暦算書について ( 数学史の研究 ) Author(s) 鈴木, 武雄 Citation 数理解析研究所講究録 (2009), 1625: 244-253 Issue Date 2009-01 URL http://hdlhandlenet/2433/140284 Right Type Departmental Bulletin Paper Textversion publisher Kyoto University
6 1625 2009 244-253 244 : ( ) (Takeo Suzuki) Kakegawa City Education Center Sizuoka Prif ] 61 411 [ 18 (1943 ) $A $ ( : ),, 1 18, 61 411, 3 $A$,, $C$ 3 1 2 3 2 ( ) : 18 7 26 ( ) : $A\rangle\rangle$ ( ) ( : ) $\ovalbox{\tt\small REJECT}(155727)$ ( ) 1 2 5 5 : ( ) 1 2 3 4, 2 2 3, [, ] 3 (1823) D (117 ) 3189 20 2 $(155728)$ $\beta$ 1 7 14 : $(1811-1882)$, 6 (1867 ) 1852,, 1868 1882 1845 $\iota$ / (, 1990 ) pp329-339 1859 18 DB (16 ) 7 $\cdot$ /20844 6 6 $(155729)$ 1 6 10 [ 6 (1880)
245 12 D (15 ) 6 1 3 $(155730)f $ 1 2 (1820 ) 5 (1881) $B(1$ 25 ] 25 13 1 1 2 $(0$ $\text{ _{}(155731)}$ 8 $(155732)$ 1 1 5 3 ( )? D (1 ) ( ) $(155733)$ 1 [ 1 5 ] 7 38 67 6 $B\rangle\rangle$ D ( ) $(155942)[$ 1 6 40 $(1768-1817)$,,,,,, 16 (1890 ) $B(10$ 3 8 $(155943)$ 2 7 2 5 (1866) D $(2$ $\grave$ $E1$ (155944) $\text{ _{}\ovalbox{\tt\small REJECT}}\overline{\pi_{2}}$l 1 5 15 [ 3 (1911) 5 25 (1899) $(1$ : $ff$ (155945) 1 $ffl\xi\cdot,$ [ 12 : 56 (1791 ), 3 (1823 ) -( : 1668-1720) 8 (1869) D $B(9$ : 10 4 $\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT} 1\ovalbox{\tt\small REJECT}_{2\ovalbox{\tt\small REJECT}}6$ if $E1$ (155946) 18, 10 (1871) D $B(5$ 24 (1898) 6
$\ovalbox{\tt\small REJECT} 13(155947)$ REJECT}$ 246 \S gb pi 3 12 $\ovalbox{\tt\small ] : $(1789-1850)$ 12 (1886), 7 (1868),, (1 ) $rg_{\rfloor}$ 13 REJECT}$l$\grave$rq 6 26 104 $C\rangle\rangle$ $E]$ (162722) If 1 6 60 [ #, (1827-?), $(1874rightarrow 1879)$ D (13 ) : 5 22 $n$ $bp$ Al, $\ovalbox{\tt\small $E1$(162723) 52 l $\text{ _{}\phi}^{3}2$ [ : ( ) (1872 1876) 21,,, D (16 ) 444 22 11 1 $l$ $E1$(162724) 48 70 [ ( ) $r$ 80 10 (1653 ) ( 3 $\cdot 4\cdot 7\cdot 8\cdot 10\cdot 12$ ), / /, 24 48 48 24, 24 D (17 ) 48, 10 (1653) 70 $E1$ (162725) $1\ovalbox{\tt\small REJECT}_{\text{ _{}-b}}^{6}$ $(17\mathfrak{B}-1862)$ : 9 (1883) : $t$ $t$, D (5 $E1$(162725) 1 4 12 [ : 10 18 (1892),, 4 D (2 ) 1 1 $E1$ (162727) 1 4 12
247 [ 1 10 (1871 ) 8 (1828) (6 ) 10 $\Phi(162728)$ 1 24 70 $\rfloor$ 18 (1887) 14 24 D $B(4$ $E1$ (162729) $\beta$ ( ) 1 4 12 32 (1906) D $B(0$ $H(162730)$ 1 4 8 ] : (1192 1279 ) 1248 1259 2 (1876) $\ovalbox{\tt\small REJECT}h$, 1898 $(68$ $E3$(162731) 1 4 9 12 (1807 ) 13 $(1SS7)$ $\ovalbox{\tt\small REJECT}\grave\Re\sim$ B (12 ) 1 8 32 [ 8 (1825 ) 13 (1803 ) D $(15$ : 5 3 $\Phi(162732)$ $\Phi(162733)$ 1 6 12 D $(1833-1902)$ 8 (1882 ) 19 22 22 D (5 ) (3347) 6 $\Phi(16273t_{1})_{-\beta ffl\mathfrak{m}\text{ }\rfloor}n^{f\theta \text{ }}1$ 6 16 [ $(1833-1902)$ [ ] $\kappa$ Fluxions $(*1865$ 1868 ) B (11 ) 6 4 1 4 10 [ 1859 ( : ) ( : ) 1861 13 (1874) : $(1811-1882)$ 1874,, D (42 ) J,FWHerschel, (1792 $-1871)$ Treatnse on Astronomy (1830 ) $\Phi(162735)$ [r-
*;_{A,\ovalbox{\tt\small REJECT}}}$ }i_{1},\ovalbox{\tt\small REJECT}}$ 248 $H(162736)$ 1 4 10 [ 13, 37 (1772 11 (1872),, 6 D (1 2 ) 11 4 $\not\in^{\dagger 2\text{ }\ovalbox{\tt\small REJECT} k}5ri\lambda\rfloor$ $Z(162737)$ 50 $1$ 18 [ Elias Lomis( ) (Russel Samuel) $ffi_{\dagger 1\text{ }}fi^{\text{ }}$ 20 $(189\{)_{k}l*$ $(3$ T30-566 20 16, 1 4 12 [ $(1789-1853)$ 23 $(1818)_{\ovalbox{\tt\small REJECT}}F1$ 20 (1840) D (5 ) 2 2, $\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT}$ $\Phi(162738)$ $E]$ (162739) 1 2 $r$ 40 4 (1878) $(0$ $\Phi(162740)$ 1 1 6 [ 1 $(1724-1777)$ $q,$ $(1724-1777)$ 1744,,, D (29) $E3$(162741) 1 4 16 [ 1851 30 (1850) 1855 29 (1903 ) :,, D (4) (3215) 30 4 $H(162742)f $ 1 6 80 [ $(1768-1817)$ 16 (1890) 13 (1823 ) (0) $H(162743)$ $0fflff\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT}\iota\backslash$ 1 2 48 [ $\mathfrak{s}^{:_{\theta}\s\#}$ $(1633-1721)$ 26 (1761) (1681-1763) 24 (1759 ) 13 (1874) D $(1$ $1$ ) $1-2\cdot 2$ 13 20 l $\hat$ $\iota 9 \iota$ $\mathfrak{y}$ $\Phi(162744)$ $3ffl_{\backslash 1 1 : $(?-1764$, ( ;, 1668-1720) $\sin\theta$, 1 $-\cos\theta$ 3 1737 1742 1744 1752 6 15 $0_{bt^{\backslash
}$ $\vee\lambda\backslash \lambda_{7} \overline{a^{l}}$ 249 1821 1839 1840 20 D (6 ) (3137) 20 3 $\ovalbox{\tt\small REJECT}(162745)$ ( ) 1 4 8 : $(1533-1606)$ 1592 30 (1904) 20 (1592 ) 25 (1760 ) D $B(28$ 447 30 4 1 1 6 $(0$ (1875) $\sim)_{s}\prime g\prime ae=$, $\Phi(162746)\text{ _{}t}^{\backslash },\prime k^{\mathfrak{h}\backslash }$ $\Phi^{t\iota^{1}}(1627\wedge$ 1 1 6 14 (1888 ), 30 (1850 ) (14 ) 3272 17 1 $H(162748)f $ ( ) 1 2 8 ] D (2 ) $($ $)$ 752 ( )? 25 (1899) 24 2 : 1899 $E]$ $f $ (162749) $*?_{\text{ }}W_{\backslash 1 8 :? 10 (1884 ) 10 23 (1897) D (2 ) 10 $\Phi(162750)$ 1 2 24 [ (1875) D 1? $(0$ $E3$ (162751) $1$ $\ovalbox{\tt\small REJECT} g\phi 1\S \mathfrak{q}t:_{\lambda},$ 6 : (1800 1860) ls60 $D$ (24 ) 6 12 $\mathbb{h}(162752)$ $r*_{\text{ ^{}\ovalbox{\tt\small REJECT}_{)}}}lg$ 2 $1$ 14 1, 15 (1889) 16, [,, ], [ ], [ ] ( ) D (9 ) 621 16 2 3 1 2 6 13 (1887) $\Phi(162753)$
, 250 22 (1896) $4\hslash 4_{1}*\cdot$ (1909 $(1833-1902)$, 1868, [TEssay on $\rfloor]$ Probabinty 9, 10 D (1 ) 23 1 2 10 ) 2 (1910) $(0$ $\Phi(162754)$ ( : $\mathbb{h}(162755)[ $ 1 1 5 2 (1912) $D$ (1 ) (1875) 1 : $H(162756)$ 1 24 40 [ 32 (1906) (1723 ) [ 1 2 3 4 5 ] $\cdot\cdot\cdot\cdot$ [ 1 (,,, ) 2 (,,,, $\cdot$ $)$ $\cdot\cdot\cdot$ 40 ] D $B(34$ 14 24 $H(162757)$ I 1 12 20 [ 12 1 [,, 9 ], 2 [,, 9 ] 21 (1895) 14 D (34 ) 21 12,, $\_{p}$ $\Phi(162758)$ j( ) 1 12 30 [ 9 (1744 ) [,,,,, ] 31 (1905) ( ) 30 2 18 21 21,, 26, 2 D (18 ) $E1$(162759) 1 20 40 15 (1889 ) 27 (1901) $(5$ 15 20 $\ovalbox{\tt\small REJECT}(162760)U$ x 1 1 6 $\#$ D (7 ) : $\#$ :
251 $ $ $E3$ (162761) 1 8 $ \Re$ 20 : ( ) 4 (1299 ) $-$ $f$ 1303 16 $(1S36)$ $1834$ 1913, $(27$ $\mathbb{h}(162762)$ $\grave{)}\s\s\ovalbox{\tt\small REJECT} d_{\ovalbox{\tt\small REJECT})}^{1}$ 8 12 D ( ) 16 (1890 ) 24 (1898) 22 : 16? 6 $\not\in\rfloor+1_{r}r$ $\{\mathbb{r}$ 6 $\mathfrak{l}h 8\dagger t$ jb $\otimes$ $ae^{r}\xi^{k\text{ }}\hslash^{v^{1}}\mathbb{r}^{6}$ $H^{(162763)}$ $[l\#$ $1$ $(1915)H\Re\I$ $a\ovalbox{\tt\small REJECT}$ $9*$ $6$ $g($ $\oint\yen$ $l\mp*\text{ _{ }R\text{ })}$ $pj$ $fb\text{ _{}*\hslash \text{ }l^{}}^{\mu}$ 35 $(4$ $\hslash\ovalbox{\tt\small $\cdot$ $\cdot\cdot$ REJECT}$ $DB(3 \S\beta)$ $1hE$ $4$ $fb$ $\cdot\#$ $2995$ $g$ 1 4 9 [ 2 (1863) 11 (1872) (7 ) : 11 $\Phi(162764)$ 4 1 2 REJECT}_{\mu} J^{*\text{ }}rt\rfloor$ $\Phi(162765)$ $\underline{=}\ovalbox{\tt\small $1$ 2 10 6 (1801) D $B(32$ $H(162766)$ 1 $-\vee 4\mathfrak{R}_{\dot{\Phi}}$ 20 [ : $(1789-1850)$ 23 (1843) $-\ovalbox{\tt\small REJECT}$ 6 (8 ) : 14 4 6 $\Phi(162767)[ $ $\ovalbox{\tt\small REJECT}$- 1 7 20 : $(?-1812$ 36 (1771) 25 (1820) D $(7$ 4 22 $H(162768)$ 1 8 20 ( ) : 1607 1857 4 (1865) ( ) 4 4 6, 1, D $(47$ : 4 8
$\lrcorner \mathfrak{g}_{1\backslash }\#\mathfrak{f}]$ 252 $\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT}$ $E1$ (162769) Ir( ) 1 32 s: 45 l-, : (1633 $-172$ ae $=$ $g^{\backslash }$ 1723, 7 D (19 ) 32 48 390 1154 61 411 1325 6 18 1 3 25 $(*$ 1 1 ) 3, 3, (, $A$,, $C$ ) 3,,,,, [1] ( ) 5,, ( DB) 4,, 18 7 26,,, (1878 1945 5 16 ) ( ) ( ) 18 ( ),,,, $(*$ H 2880 ), $P$ 13 (1938 ), ( ) 16 (1942 ) 16 (1941 ),
253 20 (1945 ) 5 16,,, 3,,, ( ),,, ] 2008 6 26 $\sim 27$, [ $<$ $>$ [1] ( ), 1944 16 [2] ( ) 5,, 1993 $(*$ 60 cm ),, [3] ( ) 7 [4] ( / ), 1990 [5] ( / ), 2002 [6] $\backslash \grave{/}^{\star}\exists t7\cdot$ : 5 ( ) / ), 1991 [7], 1960 ( ) [8], 1956 [9], 1972 [10] ( ), 1983 ( $[*]$ D : )