ڼ
޳ѷѷ񤤤ȾʬˤפǤ礦
͡ 98ڡ 0:07:30 MAIL:iida@ae.keio.ac.jp 25743
ޥ
դ𤷤ޤ줫ɽޤ
PowerBook G4 98ڡ 0:21:43 MAIL:masaru-y@sansu.org HomePage:25744
mhayashi
ޤ
98ڡ 0:23:35 HomePage:M.Hayashi's Web Site25745
Shin Koba
뤫顢޳ѷ򿿤ǤʤƤϡǤ͡ޤƤ䣴ݣ᣷ݣ¸ߤʤ褦ǤϡĤ⤤Ĥ⡢𤱤ʤۤɻ֤䤷Ƥޤޤ
98ڡ 0:36:27 25746
aaa
ڼԤιͤˤĵŤξǤ
98ڡ 0:40:27 25747
ߤ
Ĥ⤳Ƥϡ֤ʲäΤפȡƤФǤ
ߤɡ 98ڡ 1:13:10 25748
ϥ饮㡼ƥ
ޤǤǵ٤ߤˤʤޤ
̶彣 98ڡ 7:49:03 HomePage:ĩ25749
kasama
Ϥ褦ޤCADˤ餻ޤ(^_^;)
98ڡ 9:08:59 25750
kasama
#25743 ĤʤۤɡʴǤͤ(*^_^*)
http://wind.ap.teacup.com/kasama/img/1126140368.gif
98ڡ 9:48:01 25751
ߤ
᤬ᤤϺޤȤȤǡ

ϸȤʤǤɡʤʤǤ礫
98ڡ 11:35:40 25752

ƤȡоΰưȤƤ޳ѷѷǤޤ
٤λǵդ٤äɡ
դ 98ڡ 12:10:01 25753
ޥ
#25752

⥳äȤˡ֤ʤ꤫ס֤ɤäǽꤵƤʤääʤ⤷ƼʬǡˡפȤפäƤƤޤޤǤޤȤꤢĤʤäΤǽꤷƤߤ辰Ǥ....ϡۤϴñʤΤǡ֤⤷ȽֻơñȤ뤫פȤ԰¤ʤʤʤΤǤճȳڤĺ褦ɤäǤߥʤäΤɤäǤ...(^^;;
PowerBook G4 98ڡ 14:22:47 MAIL:masaru-y@sansu.org HomePage:25754
uchinyan
Ϥˤϡפ֤ʿ̴ʤΤǡƬǤʤäƤ褦Ƕϫޤ
Ҥᤤ顢פ鷺˥Ǥ (^^;
ݥȤϡƱͤѷ޳ѷǤ
Ƚ񤭲ϡɤ⤦ĤǡޤޤǤƤޤ
⤦ͤƤߤޤ
ͥνȡ 98ڡ 15:10:30 MAIL:uchi@sco.bekkoame.ne.jp 25755
Ȥ
Ϥư̤ǤΤ줷äǤ1ֿͤ¿
ޤΤǰ̤ϱʱ̵Ȼפޤ
줷Dz1̤򤹤٤(466)(ڤǤߤ줺
ޤ)1ʬäƤʤ37
4142004.8. 19AM 0:00:22 ®Ǥ
ʬȤƤʬٴǤϤǼĤdzǧ
150򤪤ޤ줫黰ѴؿȤäˡ
ȤǤޤȤǤƤʤǤ
ڤꤢ꤬ȤޤǤϡ
˭ԡ 98ڡ 16:00:52 MAIL:fttnm528@ybb.ne.jp 25756
粬ҹ
󡢵פ֤ޤʡ
޳ѷͤơ褿ĺšƤȤޤ¡ġţġƣġ£ơܣãģơ᣶ꢤãģƤѷ
ãţƢᢤģáջѷˤʬ
äơ£âᢤ£ƣáܣãġܣƣãġ᣶롡ܣģãš᣶
ʣݣߣݣˡࣲ᣸롡äƵ٤

ܣᣱ롡꤯ɤǤפ֤ƬȤޤ
98ڡ 17:50:07 MAIL:toshi009@land.hokuriku.ne.jp 25757
uchinyan
#25757βˡǤ޳ѷꤷơǤޤ͡
ࡢޤλͳѷABCDϰդ˷ꤹΤǡְ㤤ǤϤʤȻפޤ
ȤꤷƤ褦ʵơ#25755ǡ
䤿Ƚ񤭲ϡɤ⤦ĤǡޤޤǤƤޤ
Ƚ񤤤褦ˡĿŪˤϡäȤäꤷƤޤ
ʤȤ⡢޳ѷʤСѷƳϡо顢
BCD = 1/2 * (360 - 60) = 150
ȤƤ褦ʵ⤷ޤ餬ŪˤäꤷʤΤǤ
ޤϸĿŪʴʤΤǡΤ⤷ޤ (^^;
ʤɤ⤹äꤷʤΤǡѴؿǤǤȥ饤Ƥߤޤ
⤫ʤ񤷤
BCD = x ȤޤABD = ADB = 36١CDB = 12١Ȥޤ
ABD ȤäơAB/sin(36) = BD/sin(108) Ǥ
CDB ȤäơCD/sin(180-x-12) = BD/sin(x) Ǥ
餫顢AB = CD ʤΤǡ
sin(x)sin(36) = sin(x+12)sin(108)
sin(x+12) ˡȤäŸcos(x) ξդäȡ
tan(x) = sin(12)sin(108)/(sin(36) - cos(12)sin(108))
θ夬ѤǤˡʤɤνȤơդ sin(18)cos(18) ɽȡ
tan(x)
= sin(30-18)sin(90+18)/(sin(2*18)- cos(30-18)sin(90+18))
= (1/2 * cos(18) - sqrt(3)/2 * sin(18))cos(18)/(2sin(18)cos(18) - (sqrt(3)/2 * cos(18) + 1/2 * sin(18))cos(18))
= (cos(18) - sqrt(3) * sin(18))/(3sin(18) - sqrt(3) * cos(18))
= (cos(18) - sqrt(3) * sin(18))/(-sqrt(3))(cos(18) - sqrt(3) * sin(18))
= - 1/sqrt(3)
ǡ
tan(150) = tan(180-30) = - tan(30) = - 1/sqrt(3)
ʤΤǡ
tan(x) = tan(150)
0 < x < 180 ʤΤǡx = 150 ˤʤޤա
ϡɤνꡢ褯Τ줿󥰥졼ѼǤ͡
ͥνȡ 98ڡ 21:06:53 MAIL:uchi@sco.bekkoame.ne.jp 25758

ͤޤޤʬٴ郎ʤäΤǤ虜虜㤤˹ԤϤˤʤꡢΤ鵢äƤΥˤʤꤳʤ٤Ƥޤޤ
99ʶ 0:24:54 25759

Ƕᡢޤʬ䤹ˡʤ󤸤ʤȻפäƤ
դ 99ʶ 5:51:00 25760
⡼ޥ
ޤޤøʤĤǤͤ
޷ѷߤ¿äϡˤäƸƤ褦Ǥ͡
ȤǤߤʤϤɤ˹ͤޤǤ礦

Ⱦ10^3kmξ֤ˤĤ¸ߤƤ롣2İʾˡ
줾ξɽ̾ǡ¾ξΤɤ줫ѻԲǽΰѤפȡʿkmˤʤ뤫
99ʶ 9:04:56 MAIL:kennji72001@yahoo.co.jp 25761
uchinyan
#25758ǽҤ٤褦ˡŪˤäꤷפĤƤʤΤǤ
괺ޤꤤˡȤϻפޤ󤬡#25757ɤơʤŪǼǤˡ񤤤Ƥޤ
ޤդοޤǤAB = AD = aBAD = 108٤Ȥʤ褦Ϳ뤳ȤǡABD ꤷޤ
ˡCD = AD = aADC = 48٤Ȥʤ褦Ϳ뤳ȤǡACD ꤷޤ
ĤΤȤ顢ABCD ϳꤹ뤳Ȥʬޤ
ǡդοޤƱοޤޤǤСĤοޤϴ˰פޤĤޤꡢƱˤʤޤ
ơǡAB = AD = aBAD = 108٤ܤơPQ = a Ȥʤ޳ѷPQRSTͤޤ
޳ѷ顢PQR = QRS = ... = STP = 108٤Ǥ
P RS ˿򲼤ο U UST = 48٤Ȥʤ褦ˤȤޤ
(ΤȤUS = a ϲꤷƤʤȤա)
ȡUSR = RST - UST = 108 - 48 = 60٤ˤʤޤU R ȤǤƱͤǡURS = 60٤Ǥ
äơURS ѷǤǡUS = RS = a ˤʤޤ
ǡTPUS ܤȡTP = US = TS = a ǡPTS = 108١TSU = 48٤ȤʤäƤꡢ
ϡդοޤ ABCD ξƱǡǽդ褦ˡTPUS ABCD ȴ˰פޤ
ĤޤꡢϡTPUS ǹͤФȤˤʤޤǡBCD = PUS Ǥ
PUS ϡ޳ѷо顢PUS = (360 - RUS)/2 = (360 - 60)/2 = 150٤ʤΤǡ
BCD = 150٤ˤʤޤ
ͥνȡ 99ʶ 9:27:09 MAIL:uchi@sco.bekkoame.ne.jp 25762
粬ҹ
#25758
伫Ȥޤ꿼ͤ˲ФޤΤǡñ˽񤭤Ǥʡ
ãĢᢤƣãŤꡡʢãƣѷ£ãģŤ޳ѷȤơ
£áƣ£äˤĤ
¡ƣ¡áƣá£ö̡ʻչƱ
äơ£âᢤƣ£áܣã¡ܣƣã
ܣãġܣƣãš᣶롢ܣģãơ᣶ʤΤǡμǵޤ
ŪʤΤǤϤʤ⤷ޤuchinyan󡢤ʴǽ񤭤ޤʡ
99ʶ 12:55:06 MAIL:toshi009@land.hokuriku.ne.jp 25763
uchinyan
#25763
粬󡢵Ȥ碌ƤޤäƤʤ
פϡ䤬ʪʬ꤬ʤΤǡޤ굤ˤʤʤǤ ^^
ͥνȡ 99ʶ 15:29:26 MAIL:uchi@sco.bekkoame.ne.jp 25764
Ѥ
Ϻޤ򤹤ǤǤϲΥݥꥷǤϤʤΤ
Ժ򤷤ǼΤФǤ
99ʶ 19:14:28 25765
mhayashi
#25754
ϲ裱Ǥ͡
http://www.geocities.jp/hagure874/math/m196.html
ʢΤۤ޳ѷ䤹

Ǥߤ󤵤(#25752)Ʊͤä˺ƤΤǺٳڤޤ (^^;
910ڡ 1:47:22 HomePage:M.Hayashi's Web Site25766
uchinyan
#25763, #25758, and #25757
äȡ粬ξǼޤǤ򤪤ޤ
ɲääƤȤȡդοޤ ABCD 顢ɤäơ޳ѷ뤫 EF ζŪͿǤ
դдñǡۤäǤޤ
ABAD 줾οľʬθ O Ȥޤ
餫ˡOA = OB = OD ǡOAB OAD ʤΤǡ
OAB = OBA = OAD = ODA = 108/2 = 54١AOB = AOD = 72٤Ǥ
ǡ O 濴ˤȾ OA αߤͥDB(DBΤĹ)濴Ѥ72٤Ȥʤ E, F Ȥޤ
ȡABDEF ޳ѷˤʤޤ
ΤȤ O BC ϤαĹˤ뤫ɤʬޤ
θϡ粬ξΤȤǤ
ʤξ̤ơ O BC αĹˤ뤳Ȥʬޤ
äȡåꤷޤ (^^;
ȤǤ򤪤ޤ m(__)m
#25766
äѤꡢ˽ꤵƤΤǤ͡
äȤ⡢κϡϤޤäƤޤǤ ^^;
ʤ䤬äΤϡΥȤβˡǡ޳ѷͿ줿̷ʤդ˽񤱤뤫ȤǤ
㤨СΥȤβǤϡоȤƤޤ粬#25757ξΤ褦ˡɬ餫ǤϤʤȻפޤ
ȿФˡоˤʤС#25762ξΤ褦ˡ򵤤ˤ٤Ǥ
ˤ衢٤򾯤ʤȤĵʤСϵˤʤƤ⤤Ǥ͡
ͥνȡ 910ڡ 12:43:15 MAIL:uchi@sco.bekkoame.ne.jp 25767
uchinyan
#25761

Ⱦ10^3kmξ֤ˤĤ¸ߤƤ롣2İʾˡ
䤽줾ξɽ̾ǡ¾ξΤɤ줫ѻԲǽΰѤפȡʿkmˤʤ뤫
ޤ꼫ʤΤǤȾ¤ r Ȥơ4r^2ĤޤꡢĤξɽѤǤ礦
ϡ줳ľŪǤ
ޤĤξƱΤäƤ硢ޤ񤤤ƤߤȡȾʬĤ򸫤뤳ȤǤޤ
ˡ٤ƤξȻפ򤹤٤ƷӤޤ
ƤǤΩΤվ塢դ˰Ϥޤ줿ѷ塢ڤդ˰Ϥޤ줿ΩΤˤ뾮ϡ
360١ǤϤʤΩΤ鲿ȸΤʬʤΤǤȬϤޤƤΤǡ
ʤʬϤʤΤȻפޤ
(ϡΩΤξ硢ޤ餫ǤϤʤǤܤΤǤϤʤΤǡ¿ʬ)
äơΤǽ夬äֳΩΡ̤¿Ρĺˤ뾮˴ؤƹͤнʬǤ
Ȥθʤʬ򽸤ŷȬˤʤΤǡ礦ɡʬɽѤˤʤޤ
(⡢¤ϡޤ餫ǤϤʤǤ
󼡸ξϡʤʬ¿ѷγѤбΤǡ¤360٤ˤʤޤǤ)
ְäƤ뤫ʡ
ͥνȡ 910ڡ 12:31:47 MAIL:uchi@sco.bekkoame.ne.jp 25768
⡼ޥ
#25768
uchinyan 󡢤ͻ꤬Ȥޤ
ȤȻפޤ򤹤äȸľޤ

3֤Ŭ1ĤơʤȤ
濴̤ꡢ줾ɽ̤ȤθA1A2Υ..AnȤ롣
1־ˤΤ򤿤ȤA1ȤȡA1ʿ̤Ϥʤ
A1ϤˤߤʤA2ʲ٤ƾ뤫顢ɤ줫ˤߤ롣äơǸʤΤA1Τߡ
Ǥդ顣äƤǸʤΤϤɤ줫1Τߤǡפ1ĤȤʤ4*10^6

̵¤᤿ѤˤʤǤ顦
910ڡ 13:54:10 MAIL:kennji72001@yahoo.co.jp 25769
uchinyan
#25769äɲá̤ϤȻפޤ˵䤬ФƤޤ
ʤۤɡ򤤾Ǥ͡ٶˤʤޤ
[]
ȡۤɽ񤤤ΤǤ㤨СĤξˤäơ¾Τ˸ǤޤäƤ硢
鸫夲ǡ־ξȾʬ᤯ϸʤǤϤʤΤǤ礦
äơǸʤΤA1Τߡ
ȤΤϡѤʵޤ㤤ƤΤʡ
¿ʬ֤ǡפȤ᤬̯ʵƤޤΤ濴̤˸¤äƤޤ͡
θϡʤΤǤ礦
ȡA1 ĤǤʤ⤢ޤ͡ξϡǾ̤ A1 ƱΤϸ褦ʵޤϤɤΤǤ礦
äȤ⡢꤬ΰ褬ʤƤ⡢٤Ƥͤݤ˽Ťʤ꤬ФƤ뤷
դ˸Ƥ⡹û̵¸ĤʤС٤ƤϢ³̵¤ʤΤǡ̤ʤꤽǤ
[佪]

̵¤᤿ѤˤʤǤ顦
Ϥ뤵Ȥȡɬʤ⤷ޤ
ؤDzϳؤ򽬤äȤˡˤäƤϡѤʤȤⵯäʹޤ
ξϡ̤3桼åɶ֤ȹͤƤΤǤ礦顢
¿ʬʤȻפΤǤ礦
ǤʤȡѷͳѷѤϤ⤿ʤȤ褦ʵŸǤʵ⤷ޤ ^^;
ˡ⡢ͤƤи̩˾Ǥʵޤϡ뵤ϤʤǤ (^^;
ͥνȡ 910ڡ 23:16:57 MAIL:uchi@sco.bekkoame.ne.jp 25770
̥ʡ ֥꡼
äǼĤɤ֤ǤΤǡפ֤˽񤭹ߤޤ

#25756 Ȥ⤵
ΰ̳ǤȤޤʻˤϿǤˤʤʡ
ĤޤۤΤƤʤɤȤϡޤä⤷ޤǤ
ʤۤɡֿޤϤʤ餺ΤȤϤޤפȤϽ񤫤ƤʤǤ͡
ޤޤԤ­ޤ󡣤ˤƤԤΤܤʻųݤ()˵Ť
ȤǤơĤܳڤޤ

#25761⡼ޥ󤵤󤫤ꡧ
#25768 ˤĤƤ uchinyan #25770 Ʊޤ
ˤĤƤϡ󼡸ξιͻ䤫顢ľŪ˾1ʬɽѡ
4r^24*10^6 Ƴޤ(⡼ޥ󤵤uchinyanƱ)
⤦ŪäȡʲΤȤǤ
(#25768 ι̤ͤθɽˤʤǤ)
[---]
(3桼åɶ֤Ȳ)ˤ뾮(Ⱦr=10^3ε)ν
ʥåפǤäݤФߤʤʤΥåפηϡ
(1)ɽ̤Τʣ¬(ߤΰ)ǰϤޤƤǤΰ
(2)
ʣŽ碌ƤǤ̤ˤʤ()
ɤξ⸫ʤʬϡζ̤Τ礦(1)˳ʬ
(1)˳ʬФŽ碌ľȡ1ʬε̤ˤʤ()
[---ޤ]

ǽʬڤǤƤʤ̯ʲսϡ֡פĤǤ
(Ԥ̿ϡǼˡѤƸ̩˾Ǥʵ⤷ޤ)
911 4:50:22 25771
̥ʡ ֥꡼
õꡣ˥⡼ޥ󤵤󤫤Ф줿̤ #25727ˤĤơ
⡼ޥ󤵤󡢤ʤuchinyanΥȤ̣ɤޤ
ƻΥȤ̤ꡢ (n+1)/2(2n-1) Ǥ
n ȤȡγΨ1/4˶Ťޤ
Ĥϡưפʬ褦ˡλ¤ϼξ121/4Ǥ뤳
Ǥ

[1]
Ϳ줿߼3ĤΰۤʤA,B,C֡
ޤA(B)ֱ󤤱߼A'(B')Ȥ롣
ΤȤA,B,CξΨϤ餫
<>
CA',B'ξüȤ߸(Ĥ뤬Ĥͤû)
ξˤ롣

[2]
߼Ĺαߤ롣αߤμ2Ĥΰۤʤ
֡2ξüȤ߸(Ĥ뤬
Ĥͤû)ĹδͤϤ餫

ơ褬䤬̣äǤ
ؾξ򻰼ȡϤ餫
Ĥޤꡢ
[]
ɽ()ɽѤε夬롣̾3Ĥΰۤʤ
֡3Τ2Ĥ¬()
(û)Ƿ֤ȡ3ܤ¬ǰϤޤ줿ΰ(̻ѷ)Ǥ롣
ΰɽѤδͤϤ餫

Ūˤϡ1/8뤤Ϥ˶ᤤͤȤʤꤽʵޤ
狼ޤ
̺ɸϤ仰ѴؿȤƿŪ˲򤳤Ȥȡʣ
ʬФƤȤǺ...׻ǿͷ׻
ޤޤƤޤ󡣤ϤƻŪ˲򤯤Τ̵
⤷⡢ξǤ⻻Ū˲򤱤ΤǤСn(n4)
˳ĥϤɤʤΤǤ礦̣Ԥޤ
911 5:20:42 25772
̥ʡ ֥꡼
#25772
ȾΥȤ򤵤줿ˤȤäƤϼ­ˤʤޤ
[]ϰʲ򤯤ΤǤ


Ϳ줿ɽ̾ˡ4Ĥΰۤʤ֡
Ϳ줿濴4Ĥˤޤ4Τ
ΨϤĤ
911 6:04:38 25773
uchinyan
#25771
̥ʡ ֥꡼󡢤꤬Ȥޤ
äȤ⡢ٶʤΤǸդ񤷤ơǽ顢ʤʤǤޤǤ(^^;
(#25768 ι̤ͤθɽˤʤǤ)
ΤˤΤ褦Ǥåפ򤫤֤륢ǥϤǤ͡ޤ
ǽΡιͤκǽδŤʬܤΡܤδŤʬбޤ͡
ǽʬڤǤƤʤ̯ʲսϡ֡פĤǤ
(Ԥ̿ϡǼˡѤƸ̩˾Ǥʵ⤷ޤ)
Ϥ⤽פäƤޤԤ⡢ȤʤȤޤ
Ūʥ˥奢󥹤Ǥϡɤ⡢餫Ǥ٥뤫ʡȤ⤷ޤ
ͥνȡ 911 11:08:11 MAIL:uchi@sco.bekkoame.ne.jp 25774
uchinyan
#25772
Ƥӡ̥ʡ ֥꡼󡢶̣ͻ꤬Ȥޤ
[1]ϡ#25733ιͤ顢ۤ餫Ȼפޤ
֤ۤܡפȽ񤤤Τϡ[1]μ¿ѷǤʤƤ⤤Τǡεͤ᤬뤫ʤȤ˥奢󥹤Ǥ
[2]ǤĹδͤϡ/2 ǤϤʤǤ礦 ߼ФdzäΤ 1/4 ʡȻפޤ
θС[1][2]餫Ǥ͡
3ʾγĥϡ򤽤ǤΤѤǤ͡
ˤ衢Ȥľܤ˴طʤΤǡϤޤǤˤ褦ȻפޤˤߤƹͤƤߤޤ
(äɲ)
ȤϸäΤΡΤˡʣʬФƤǤȯۤžɬפʤ
ͥνȡ 911 13:05:24 MAIL:uchi@sco.bekkoame.ne.jp 25775
⡼ޥ
#25773
̥ʡ֥꡼ء
>
Ϳ줿ɽ̾ˡ4Ĥΰۤʤ֡
Ϳ줿濴4Ĥˤޤ4Τ
ΨϤĤ

ͤƤߤޤ

2λ߼1ꡢ2ܤμϺǽ̤ľ¤ʬ룲ĤʬˤޤͤȡĤ3ܤϡ2濴ľڤ§α߸̤ǡĹϡǽ2֤εΥƱ
Ĥޤ3ܤμϰϤϡ02r/2 ޤƱΨư
3ܤμϡ1/2r ʤΤǡ
ΨŪˤϡ0/2r2r/2*2r
Ĥޤꡢ01/2 ޤǡƱΨưΤǡʿѤ1/4
߼Τ⤦¦2ܤƱΨʤΤǡ
߼ΰ2ܤΨ1/2 ʤΤǡ
פǤϡ2*(1/2*1/4)=1/4

3λ3ȡ4ܤϡ濴Ȥ3оΤ3濴ȿ¦ˤǤ3ǰϤޤϰ4ܤ롣
ǽ3ǰϤޤѤϡ04r/2 ϰϤƱΨǼ롣Ⱦʬ
ĤޤꡢΨŪˤϡ04r/2*4r
ʤ01/2 ޤǡƱΨưΤǡϤʿѤϡ1/4
3μϡ⤦ȾʬΤǡƱ2*(1/2*1/4)=1/4

줫餷顢̤nǤĤͤ1/4
911 15:48:09 MAIL:kennji72001@yahoo.co.jp 25776
⡼ޥ
#25770
uchinyan ء

錄ƱͤʵäΤͧͤ˿ҤͤΤǤʲΤ褦ʲǤ
ƬˤĤ¤Ǥnʲͭ¸ġ
¤Τ̤¤֤ȤϤʤ
褳¤Ǥޤͭ¸ġ
Ĥޤ褳¤ǤޤĿͭ*ͭ¤ͭ¸ġ
ѤϤʤͭ¸ĽƤʤ
äȤؤǤϰѤ1ꡢդä
Ѥ¸ߤʤ顢ξ硢1+̵¾
orѤ¸ߤʤȤΤΤǤϡ

ǡܤˡդ1Ĥ̵¤᤿ѤˤʤȤΤʡäƻפä櫓Ǥ
911 15:57:42 MAIL:kennji72001@yahoo.co.jp 25777
uchinyan
(äɲá)
#25777
ࡢϤꡢ䤬#25770ǽ񤤤褦ˡ
äȤ⡢꤬ΰ褬ʤƤ⡢٤Ƥͤݤ˽Ťʤ꤬ФƤ뤷
դ˸Ƥ⡹û̵¸ĤʤС٤ƤϢ³̵¤ʤΤǡ̤ʤꤽǤ
ȤιͤΤ褦Ǥ͡
¿ʬǤΤȻפޤΥ٥εǤ褷ȤʤС
䲾̥ʡ֥꡼βˡǤ褵ʵޤʵ⤷ޤ
#25776ϡࡥɤʤ
ǽ3ǰϤޤѤϡ04r/2 ϰϤƱΨǼ롣Ⱦʬ
ۥȡ
̥ʡ֥꡼ΤͤʹȤǤ
ͥνȡ 912ʷ 8:13:27 MAIL:uchi@sco.bekkoame.ne.jp 25778
̥ʡ ֥꡼
ȤꤢͤӤ򡣡

#25775
> ˤ衢Ȥľܤ˴طʤΤǡϤޤǤˤ褦ȻפޤˤߤƹͤƤߤޤ

Τޤʽ񤭹ߤäǡȤľܴطʤä
ԷǼĤǤɤɤդ줢äƤޤޤޥ뤵ˤǤ
Ƥޤ͡äȡ m(__)m
³Free Talk˰ñۤŸۤʡȻפ
ޤǤ礦
(ϤȤ¾ΤηäҼڤФǡʾ
­뤳ȤϤޤʤΤǤ)
⤷ɬפʤ顢ν񤤤(#25771, #25772, #25773)Free Talk
žܤƤƤ⤫ޤޤ
#25771 žܤȤȾʬ()Ϥ󥫥åȤƤ (^^;
> ĤޤۤΤƤʤɤȤϡޤä⤷ޤǤ
> ʤۤɡֿޤϤʤ餺ΤȤϤޤפȤϽ񤫤ƤʤǤ͡

ɿ:
#25776, #25777, #25778
uchinyan󡢥⡼ޥ󤵤󡢤äΤֻ꤬Ȥޤ
˥󥹥ѥ졢ƹǤ
911 21:48:32 25779
ޥ
#25779
Ǥɤ(^^;;ڤɤޤƤƤޤΤǡ

# ¤Ϻǽˤ礳äȤͤơ֤ʬʡפȤϻפäΤǤȤ񤷤ƽ񤭤ߤޤǤ...orz
PowerBook G4 912ʷ 12:03:55 MAIL:masaru-y@sansu.org HomePage:25781
⡼ޥ
ޥͤء
ǤľܴطʤȤεΤ򤤤꤬ȤޤͥʤߤʤΤͤ򤤤ʹäơĤ
ξ򾡼˻Ȥ碌Ƥޤƴտ夲ޤʤ꤬

#25778
uchinyanء

ǽ3ǰϤޤѤϡ04r/2 ϰϤƱΨǼ롣Ⱦʬ
ۥȡ

ǤμǤդΨŪˤƱȹͤޤ


912ʷ 12:20:06 MAIL:kennji72001@yahoo.co.jp 25783
uchinyan
ޥ뤵δʤθ˴Ťơm(__)m
#25783
ǽ3ǰϤޤѤϡ04r/2 ϰϤƱΨǼ롣Ⱦʬ
ۥȡ
ǤμǤդΨŪˤƱȹͤޤ

䡢ѤäǤ褯ʬʤʤäƤޤäơ^^;
괺̶ˤ1֤Ȥơ
㤨С2r ξϡ̤ȾʬǤξ硢Ĥ2Ϥɤ֤Τʡ
ĤȤˡˤ⤦̶ˡȤΤ⤢ꤽǤ
1ˤ֤ơ⤦1ϤɤǤ⤤ȤΤ⤢ΤʡȤ
(ξ硢3̤ߤͤФ)
0 ξϡäȤ褯ʬʤơ2פƤФǤ礦
Ǥ⡢ĤȤˤ֤顢0 ʤΤȤ⤵ä 2r ʤΤʤξ
ξˤ֤ȡߤͳ˼Ƥޤ顢֤ƤϤʤΤʡ
Ǥ⡢ξˤ֤ʤǤ⡢֤ʤ
ѤεΥƤ⤤顢Ʊ̾ʤФ֤褦ʵ⤹뤷
䡢ꤷƤƱʤΤʤ
餬˾ʤˡƱΨפȸڤΤ
ȤͤƤ뤦ˡ褯ʬʤʤäƤޤäơפ鷺
֥ۥȡ
Ƚ񤤤Ƥޤޤ
ʿѤȤ⡢¤ϡäȰääƤޤ
2Ǥϡºݤ˳Ψ̩٤Ʒ׻ȳΤˤʤޤ3ǤƱʤΤʡȤ
ɤʤǤ礦_
ͥνȡ 912ʷ 16:31:54 MAIL:uchi@sco.bekkoame.ne.jp 25785
̥ʡ ֥꡼
ޥ:
ʤθ꤬ȤޤƱդ˴ŤƤޤ

#25778
| äȤ⡢꤬ΰ褬ʤƤ⡢٤Ƥͤݤ˽Ťʤ꤬ФƤ뤷
| դ˸Ƥ⡹û̵¸ĤʤС٤ƤϢ³̵¤ʤΤǡ̤ʤꤽǤ
| ȤιͤΤ褦Ǥ͡
| ¿ʬǤΤȻפޤΥ٥εǤ褷ȤʤС
| 䲾̥ʡ֥꡼βˡǤ褵ʵޤʵ⤷ޤ

ޤ󡣤εϡ줯餤ˤƤȤơ

| #25776ϡࡥɤʤ
| ǽ3ǰϤޤѤϡ04r/2 ϰϤƱΨǼ롣Ⱦʬ
| ۥȡ

ˤȤä "Ψο" ΤȤ˶ʬǤΤǡ
˽񤤤褦ˡͭԤΤո򤦤¦ˤ
ꤿȻפޤuchiyan(#25778)ä򿶤줿
ΤǡǸѨۤʤθҤ٤Ƥߤޤ

2ΤȤ
>߼Ĺαߤ롣αߤμ2Ĥΰۤʤ
>֡2ξüȤ߸(Ĥ뤬
>Ĥͤû)ĹδͤϤ餫

lim (n+1)/2(2n-1) Ȥ1/4ΤȤ̤ˡ
n
ʲΤ褦ʹͤ⤢Ȼפޤ

߸̤Ĺ2Ūʰ֤ˤäƷꤵΤǡ2Τ
ΰΰ֤򤢤餫ꤷƤĤ1
־ˤĤƹͻƤ⡢Ѥʤ
ξ硢߸̤ĹϻĤ1˱01/2ϰϤ
ư롣ϰϤǤɤͤȤΤ餷ȹͤ
顢դδͤ1/2ȾʬĤޤ1/4 (Ƥ)

κǸʬϤ⤦̩˵ʤ顢Ȥ
ʲΤ褦˽Ҥ٤뤳ȤǤǤ

Ĥ1Ūʰ֡Ĥޤꤵ줿
߼˱äƻΤ x (0x1/2) Ȥ롣
(աDZꡢ϶̤ʤȤˤ롣)
ˤȤä x [0,x'] Ψ F(x')
ȤdzΨʬ۴ؿ F(x) ȡ
F(0)=0, F(1/2)=1, dF(x)/dx=Ǥ뤳Ȥ顢
F(x)=2x, dF(x)/dx=2 (꤯ɤ)
äơդδ = xdF(x) (ʬ x:01/2 )
= x2 dx (ʬ x:01/2 )
= 1/4.

3ΤȤ
>ɽ()ɽѤε夬롣̾3Ĥΰۤʤ
>֡3Τ2Ĥ¬()
>(û)Ƿ֤ȡ3ܤ¬ǰϤޤ줿ΰ(̻ѷ)Ǥ롣
>ΰɽѤδͤϤ餫

Ĥ1/4ϾΤǤϤʤȹͤޤ
˽ˤȡ
1̶ˤ˸ꤷơĤ2˷ꤷȤ
˻Ĥ2ˤˤä顢̻ѷѤϤ
礭ʤ롣Τ褦1̶ˡĤ2ˤȤ
ͤ뤳Ȥϡ礦2򤯤ȤƱ
顢3ξϡ2ξ⾮ͤ
ʤϤ
ȤʤޤȯۼΤϤäΤȤʤΤǤ
긷̩˵Ҥ褦ȶϫ̡ʲΤ褦Ĺ
Ǥޤ

(ͳ)
ص塢̤ϵˤʤ館ơ̾κɸ, ,
ʤɤθդѤɽ롣3Τ1Ϥ餫
̶˸ꤵ졢⤦10٤ΰư
Ĥ1ϵ̤ϰϤưȤ
ĤˤĤƹͻФ褤(2ξεƱͤ
ͳ)
0٤ΰưΰ٤ ( -90ȡ 90,
ޤϥޥʥ̰͡ޤϥץ饹ͤǵ)
̤ϰϤưΰ٤ (- 90ա 90, Ʊ)
̤ϰϤưη٤ (-180180,
ϥޥʥ͡Фϥץ饹ͤǵ)
Ȥ롣
ѥ᡼,,ϡ3Ūʰ֤μͳ٤
Ƥ롣ϰϤdzƥѥ᡼ɤͤȤΤ餷
ȹͤ롣
ˤȤä ,,
-90ȡ'-90ա'-'' ('0)
Ψ F(',',')ȤdzΨʬ۴ؿ
F(,,) 롣
dzƥѥ᡼ưϰϤ
-90ȡ 90롢-90ա 90롢0¡180
(ա¤βưϰϤϦβưϰϤȾʬ)
ΤȤFϳΨʬ۴ؿʤΤ
dF(,,)=1 <ʬ :-90뢪 90롢:-90뢪90롢:0180>
ޤ
dF(,,) <ʬ :-90뢪 90롢:-90뢪90>
= F(90,90,)
= /180
ޤѥ᡼,,(,=||)ˤäƷꤵ3
ˤäưϤޤ̻ѷѤ S(,,) Ȥ롣
ΤȤʤꤿġ
S(,,) S(90,90,) = /360 ()
(ؿSϦ,դ˴ؤñĴ)
ʾ夫顢
դδ = S(,,)dF(,,) <ʬ :-90뢪 90롢:-90뢪90롢:0180>

(/360)dF(,,) <ʬ֤Ʊ> ()

= (/360)dF(90,90,) <ʬ :0180>

= (/360)d(/180) <ʬ :0180>
=/180ȤС
= (/2)d <ʬ :01>

= 1/4

ȤؿS˴ؤɾ()椬ΩĤΤϡ
Ĥ ==90ΤȤǡۤȤɻȤǤ
S(,,) < /360Ȥʤ롣
Τᡢ() ֡פ⡢Ĥϡ<פȤƤ褤
Ĥޤꡢդδͤ1/4̤ˤʤ롣
(ͳ)

#25772 ǻ䤬1/8Ƚ񤤤
ޤǤⴶŪʺˤޤ󤬡Ψ̩ʬۤˤĤ
о¸ߤΤǤϤʤȤο¬顢
̶
00
900
3ǰϤޤ̻ѷ(1/8)ѡĤޤ1/8
⤷1/8˶ᤤͤΤ褦ʵ롢ȤȤǤ
912ʷ 20:20:54 25786
̥ʡ ֥꡼
#25786
ޤäFree TalkƱ񤭹ǤޤޤǤʤ (
ǤäƤޤ󤫡

줫颭̶ˡˤȽ񤤤Τϡ̶ΤȤǤm(__)m

912ʷ 21:08:04 25787
uchinyan
#25786
̥ʡ ֥꡼󡢾ܤ꤬Ȥޤ
2ξϡΨ̩٤ȤäƱȤͤƤޤ
äơѿΨξϡñʿѤͤФȤΤǤޤ
3ξϡ#25785ǽ񤤤褦ˡϡʬۤΨȤȤ˼ƤʤΤǡ˴طơǤ
3Τͻ˴ؤƤϡʤȤ⡢ɸΨ̩٤ƳޤǤϡƱȤͤƤޤ
θ塢Ѥɤ׻뤫ǡʣȳƮ뤳ȤˤʤꡢɤΤȻפäƤޤ
⤦äɤޤĺȻפޤ
ˤȡ⡼ޥ󤵤η 1/4 ϾȤȤǤ͡
ͥνȡ 912ʷ 21:14:54 MAIL:uchi@sco.bekkoame.ne.jp 25788
̥ʡ ֥꡼
#25786
ӤӤߤޤ̶εҤϤ٤٤ä褦ǤɤؤƤm(__)m
912ʷ 21:16:45 25789
̥ʡ ֥꡼
#25788
Ϥθ1/4ϾȤȤˤʤޤޤäޤ󤬡
912ʷ 21:18:54 25790
⡼ޥ
#25785,25786³ޤƹͻС
3ȤǤ1Ȥ̶ˤȹͤƤ⤤Ȼפޤ2ܤϡǽȷ٤С߾ˤȹͤƤ⤤Ȼפޤ⤽ߤϰŪ˷ޤϤ2ܤˤˤϡߤ̵¸Ĺͤ뤳ȤˤʤꤽǤ͡顢3߾ˤʤȤϡ̻ѷѤϵȾʬѤˤʤꤽ
㤦ͤȤơ03μϡ3ŤʤäƤȤǡȤ3Ʊ߾ˤʤǤǤ̻ѷ3򥴥Τ褦Ʊ߾ޤǰĥäƿФ 0<<2r ޤǤդˤȤ줽ǽζ̻ѷˤʤ3μ̵¸ĤμꡢȸƤ֤Τʡʡ߾ޤǿФƹԤФ٤ƤξͤƤ뤳ȤˤʤȻפΤǤ
2ŤʤäƤ0ǤϤʤʤ
Ψʬ۴ؿϤ錄ˤϤ褯ʬޤ󡣡
錄ΤľŪʻ׹ͤ˲᤮ʤǤ礦ͤ
912ʷ 21:39:45 MAIL:kennji72001@yahoo.co.jp 25791

ϥԡե󥯥뤵ܤ򸫤ȤΤǤȲפĤƤФޤ
ǽʬٴȤȤƤʴ

Ĥʤʤäơ佩ĤΩäƤޤ͡
뤤Ȥɡ⤦ʤΤȻפ蘆뺣κǤ
̤̪ 913ʲС 8:27:35 MAIL:ishizaki@qa.so-net.ne.jp 25792
uchinyan
#25786#25791
Żι֤ˡ줾ΤƤƤߤޤ
ޤǤ⡢ĿͤθǤιͤǤ
̥ʡ֥꡼η1/4 꾮ˡɼ줿ޤ

#25786
ήη׻٤ФΨ̩ٴؿΤˤΡǡƤΨʬ۴ؿεåޤ
(٤äϤȤ⤫)äȴսϤʤʷȻפޤ
θ塢ŪѤ٤μɽƷ׻Τϡʤʣʼ˿ʤʤǤ
(鼫ʤ)

#25791
ϤꡢѤʬۤΨåɬפȻפޤ
ʤΨʤСΤ 1/4 ˤʤ뤳ȤϡѤФΨ̩ٴؿȤäƥåޤ
(פϡѤ˴ؤѿʬ׻ˤʤΤǡ2ξƱǡƤ̤Ǥ)
θ塢γΨ̩ٴؿȤäơʾη׻򤹤ˡפĤʤǤ

Ĥˡ֤ΤϤꡢ̻ѷѤ٤ɽȤȻפޤ
줬˽񤤤褦񤷤
괺ξǤ
ͥνȡ 913ʲС 16:31:21 MAIL:uchi@sco.bekkoame.ne.jp 25793