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Article View: fj.sci.math
Article #14109

Re: 2 curves between 2 point

#14109
From: Hiroshi Matsuoka
Date: Fri, 26 Mar 1993 06:53
79 lines
4618 bytes
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In article <MURATA.93Mar26122610@is19e1s08.jaist-east.ac.jp> murata@jaist-east.ac.jp (Hiroshi Murata) writes:
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                                     ^^^^^^^^^^^^^
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S1,S2$B$H$bD>@~$N>l9g!$(J
S1$B$O(J[0 1/3]$B$rDL$j(J,S2$B$O(J[0 -1/3]$B$rDL$j!$(JS1//S2$B$G!$$+$D!$(J[0 1][0 -1]$B$N(J
$B@~J,$HJB9T$K$O$J$i$J$$(J
 S1 : y = kx + 1/3
 S2 : y = kx - 1/3
[0 1]$B"*(JS1, S2$B"*(JS2, S2$B"*(J[0 -1]$B$N5wN%$OEy$7$/(J 2/{3*sqrt(k^2+1)}

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S1$B$OH>7B(JR1(R1>=2/3)$B$G(J[0 (R1+1/3)]$B$KCf?4$r;}$A(J([0 1/3]$B$rDL$k(J)$B!$(J
S2$B$OH>7B(JR2(R2>=2/3)$B$G(J[0 -(R2+1/3)]$B$KCf?4$r;}$A(J([0 -1/3]$B$rDL$k(J)$B!$(J
 S1: x^2 + {y - (R1+1/3)}^2 = R1^2  (R1 >= 2/3)
 S1: x^2 + {y + (R2+1/3)}^2 = R2^2  (R2 >= 2/3)
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[0 -1/3]$B$rDL$j(J[0 1][0 -1]$B$K?bD>$JD>@~$G;E@Z$i$l$k2<H>J?LL!JD>@~$r4^$`!K(J
y<= -1/3 $B$HH>7B(J2/3$B$G(J[0 -1]$B$rCf?4$H$9$k1_$N1_<~$N30B&NN0h!J1_<~>e$r4^$`!K(J
x^2 + (y+1)^2 >= (2/3)^2 $B$N=E$J$kHO0O$rDL$k6J@~$J$iG$0U!#(J

S1$B$,(J y>= 1/3 $B$H(J x^2 + (y-1)^2 >= (2/3)^2 $B$N=E$J$kNN0h$rDL$kG$0U6J@~$J$i!$(J
S2$B$O(J y=< -1/3 $B$H(J x^2 + (y+1)^2 >= (2/3)^2 $B$N=E$J$kNN0h$rDL$kG$0U6J@~!#(J

$B>e$N#3Nc$N(J[0 1]$B"*(JS1, S2$B"*(JS2, S2$B"*(J[0 -1]$B$N5wN%$O!$>o$K(J
[0 1]$B"*(JS1 $B$O(J[0 1]$B"*(J[0 1/3] = 2/3
S1$B"*(JS2 $B$O(J[0 1/3]$B"*(J[0 -1/3] = 2/3
S2$B"*(J[0 -1] $B$O(J[0 -1/3]$B"*(J[0 -1] = 2/3
$B$H$J$j$^$9!#(J

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|($B9M;!(J)
|N=1 $B$J$i!$(JS1 $B$O(J $BD>@~(J y=0 $B$G$9$h$M!%(J

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  [ x^2 + (y-1)^2 >= 1 ] and [ x^2 + (y+1)^2 >= 1 ]

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|$B$9$3$77W;;$9$k$H$?$7$+(J $BJ|J*@~(J $B$K$J$j$^$7$?!%(J

S2$B$,(J y=0 $B$J$i(J
S1$B$O(J y>=0.5$B$H(J x^2+(y-1)^2 >= 0.5^2 $B$N6&DLNN0h$NG$0U$N6J@~$G!$(J
S3$B$O(J y=-<0.5$B$H(J x^2+(y+1)^2 >= 0.5^2 $B$N6&DLNN0h$NG$0U$N6J@~!#(J

-- 
   _/            _/          Hiroshi Matsuoka@Canon Inc., R & D Headquaters, 
  _/    _/_/    _/    _/_/            Imaging Research Center,
 _/   _/  _/   _/   _/  _/           Imaging Research Division 1st,
_/_/_/ _/_/_/ _/_/_/ _/_/_/         Imaging Research Department 15th
Technical Details
Message-ID: <1993Mar26.065338.27108@cau1.crc.canon.co.jp>
Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!cawgw!canongw!cau1!lala
References: <MURATA.93Mar26122610@is19e1s08.jaist-east.ac.jp>

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Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!cawgw!canongw!cau1!lala
From: lala@cau1.crc.canon.co.jp (Hiroshi Matsuoka)
Newsgroups: fj.sci.math
Subject: Re: 2 curves between 2 point
Message-ID: <1993Mar26.065338.27108@cau1.crc.canon.co.jp>
Date: 26 Mar 93 06:53:38 GMT
References: <MURATA.93Mar26122610@is19e1s08.jaist-east.ac.jp>
Distribution: fj
Organization: Imaging Research Center Atsugi-branch-office, Canon Inc., JAPAN
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