Article View: fj.sci.math
Article #13577Re: Please teach me this question.
From: Kouichi Kumon
Date: Sun, 21 Jul 1996 00:00
Date: Sun, 21 Jul 1996 00:00
65 lines
2859 bytes
2859 bytes
In article <960721084908.2014@pcvan.or.jp> CXM64862@pcvan.or.jp writes: > $B2<5-$N#2Bj$N;d$NEz0F$N8m$j$r;XE&$7$F$/$@$5$$!#LdBj=8$H2rEz$,0[$J$j!"(B > $B<+J,$G:NE@$G$-$J$$$N$G$9!#(B $B9TNs$OK:5Q$NH`J}$K$"$k$N$G!"LdBj(B2$B$O%Q%9!#LdBj(B1$B$NJ}$@$1!"!"(B $B<c43$N%?%$%W%_%9$H!"M>J,$J<j4V$r3]$1$F$$$^$9$,!"K\<AE*$J4V0c$$$O(B $B$J$$$h$&$K;W$$$^$9!#(B > $B!ZLdBj#1![!JEl5~=PHG?7?t3X%9%?%s%@!<%I1i=,$h$jH4?h!K(B > $B!!(Ba,b,c,d$B$O(Bc$B!b(B0, d$B!b(B0$B$NM-M}?t$G!"(B > SQR(2)a+b > -------------- > SQR(2)c+d > $B$bM-M}?t$G$"$k$H$-!"(Bad-bc$B$NCM$r5a$a$h!#(B > ---------------------------------------------------------------------- > $B!ZLdBj#1$N;d$NEz0F![(B > SQR(2)a+b m > -------------- = --- (m,n$B$O8_$$$KAG$J@0?t(B, m,n$B!b(B0)$B$H$*$/!#(B > SQR(2)c+d n > > <=> n(SQR(2)a+b)=m(SQR(2)c+d) > <=> SQR(2)(an-bm)+bn-dm=0 $B",(Bcm$B$N%?%$%W%_%9$M!#(B > > a,b,c,d$B$OM-M}?t$h$j!"(Ban-cm=0, bn-dm=0 > $B$h$C$F(Ban=cm , dm=bn > $B$h$C$F(Badmn=bcmn > (ad-bc)mn=0 > m,n$B!b(B0$B$h$j(B ad-bc=0$B!JEz!K(B > > m=0$B$N$H$-L@$i$+$K(Ba=0,b=0 $B$G$3$N>l9g$b@.$jN)$D!#(B $B2sEz$,0[$J$k$H8@$&$N$O!">e$N(B($BEz(B)$B$,0c$&$N$+!">ZL@2aDx$,0c$&$N$+(B $B$N$I$A$i$G$7$g$&$+!"(B($BEz(B)$B$O$"$C$F$$$k$H;W$&$N$@$1$l$I!)(B $B$A$J$_$KM>J,$J<j4V$H8@$C$?$N$O!"(B m/n $B$H$*$$$?;~$K(Bm != 0$B$N2>Dj$r$*$$$?$3$H!#(B n != 0$B$@$1$G!"?J$a$?J}$,C1=c$K$J$j$^$9!#(B $B$D$^$j!"(Ban = cm, dm = bn$B$+$i!"(B a = cm/n, b = dm/n $B$K$J$j!"$3$l$r(Bad-bc$B$KBeF~$9$k$H!"(B ad-bc = cdm/n - cdm/n = 0 $B$H$J$j!"(Bm != 0$B$N2>Dj$OITMW$K$J$j$^$9!#(B $BJL$N>ZL@J}K!$H$7$F$O!"85$N<0$NJ,Jl$rM-M}2=$7$F!"(B $B!tM-M}2=$9$k:]$KJ,JlJ,;R$K3]$1$kCM$,(B0$B$K$J$i$J$$$3$H$O<($9$H$7$F$b!"(B (2ac - bd) + (bc - ad)sqrt(2) ----------------------------- 2 c^2 - d ^ 2 $B$K$7$F!"(Bsqrt(2)$B$N78?t(B(bc - ad)/(2 c^2 - d^2) $B$,(B0$B$G$J$1$l$P$J$i$J$$$H$7(B $B$F!">ZL@$9$kJ}K!$b$"$k$G$7$g$&$,!"Ez0F$H$7$F<($5$l$?J}K!$G==J,$K@5$7$$(B $B$H;W$$$^$9$h!#(B $B!t$H$s$G$b$J$$Mn$77j$,$"$k$N$+$J!)(B -- $B5WLg9L0l!w(BP$B%W%m%8%'%/%HIt(B.$BIY;NDL8&5f=j(B kumon@flab.fujitsu.co.jp $BBeI=(B 044-777-1111
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,793f8d7a750ecf40,start X-Google-Attributes: gidf4956,public From: kumon@proc.flab.fujitsu.co.jp (Kouichi Kumon) Subject: Re: Please teach me this question. Date: 1996/07/21 Message-ID: <KUMON.96Jul21164836@asami.flab.fujitsu.co.jp> X-Deja-AN: 169171844 distribution: fj x-nntp-posting-host: asami sender: news@proc.flab.fujitsu.co.jp references: <960721084908.2014@pcvan.or.jp> organization: Fujitsu Laboratories Ltd., ... reply-to: kumon@flab.fujitsu.co.jp newsgroups: fj.sci.math