Ĺ
Ȥꤢ⡼ɤ
ơ
Ϥޤޤġ 915ڡ 0:08:29 HomePage:åȬ25794

޳ѷ濴ϤȤǤ⤹СȤѷ颤OABʬڤäΤѥߤˤäȤҤä֤ޤĤĤʤ롣
濴60Ⱦ6δ

֤᤯ʤäƤΤ򤷤ߤߤȴ뺣κǤ
̤̪ 915ڡ 0:10:53 MAIL:ishizaki@qa.so-net.ne.jp 25795
taku
塼ƱˡǤ
ǽְ㤨188.4äƤޤޤ
915ڡ 0:17:35 MAIL:takuo@kcv.ne.jp 25796
CRYING DOLPHIN
दäƤߤ

ǡʬǼ褦Ȥƺäޤ졣
http://www7a.biglobe.ne.jp/~cdcdcd/q468kashan.GIF
ǯԥ奦ȡ 915ڡ 0:52:19 HomePage:θ³äƤɤΤ餤25797
ʤ
⤿⤿Ƥ뤦ˣˤʤޤäΤǥåס
http://www3.sansu.org/tables/san09151884.gif
̹񡡡 915ڡ 0:58:56 MAIL:naka@sansu.org HomePage:naka's Home Page25798
⡼ޥ
ޤȾäơɣС18.84 줿
޷򤱤Ƥ줷ʡ
ƻ˵ޤ
޳ѷѤϡ5(108/360)*6^2*-5(1/6*6^2*+(1/6*6^2*-1/2*6*33))+ڤ줿
Ѥϡ5*1/2*6*33-(޳ѷ-ڤ줿)=60-54=6
餤꤯ɤ׻
915ڡ 4:36:50 MAIL:kennji72001@yahoo.co.jp 25799
Ĺ
Ǥϡϣ
http://yosshy.sansu.org/junk/san468_1.gif
֥饦ǸȡǤʤڤؤĹ
Ϥޤޤġ 915ڡ 6:44:45 HomePage:åȬ25800
ġ
ޤꡢƶʤȻפޤ

֥ԥ󥯿ʬפȤϡդcmѷʬɽޤ

ȤʤäƤޤѷ5ĤǤ͡

餷ޤm(__)m
915ڡ 8:27:57 25801
kasama
Ϥ褦ޤ
6ФǤ͡CADˤ餻ޤ(^_^;)
915ڡ 9:35:16 25802
uchinyan
Ϥˤϡ
Ƕϡ̤λǡꥢ륿ɤī򸫤뤳Ȥ񤷤ʤäƤޤޤ
ޤʬΤӤäƤޤ ^^;
ϡޤ񤤤ƤߤСʬޤ͡ޤʤʬŤ餤Ǥ
ޤ޳ѷABCDE濴 O Ȥޤ
ˡAB 줾濴Ⱦ AB = 6cm αߤ񤭡޳ѷABCDEθ F Ȥޤ
ޤA CD ˿򲼤A 濴ȤߤȤθ G Ȥޤ
餫ˡFAB ϡPAB ʤɤȹƱѷǤ
ȡоʤɤ顢ޤʬϡ޷OFG 2 * 5 = 10 ܤˤʤ뤳Ȥʬޤ
ˡޤˤǤȡ
(޷OFG) = (Ⱦ6cm濴6٤) - 1/2 * (FAB - OAB)
OAB = 1/5 * (޳ѷABCDE), FAB = PAB
ʤɤʬޤǡ
(ʬ) = 10 * (޷OFG)
= 10 * (Ⱦ6cm濴6٤) - (5 * FAB - 5 * OAB)
= (Ⱦ6cm濴60٤) - (ԥ󥯤ʬ) + (޳ѷABCDE)
Ȥʤꡢ
(忧ʬ) = (޳ѷABCDE) - (ʬ) = (Ⱦ6cm濴60٤) - (ԥ󥯤ʬ)
ʤΤǡ
((忧ʬ)(ԥ󥯤ʬ)κ) = (Ⱦ6cm濴60٤) = * 6 * 6 * 1/6 = 6 = 6 * 3.14 = 18.84 cm^2
ˤʤޤ
ʸޤβˡǡȤƤϤޤ褯ʤǤ͡
ޤ򤦤ޤ񤤤ưꤹСäȤޤȻפޤɤʤäƤȻפΤǡ(^^;
ͥνȡ 915ڡ 12:50:59 MAIL:uchi@sco.bekkoame.ne.jp 25803
uchinyan
ǼɤߤޤǤ⡢Ͻ񤭹ߤʤ
ΡƱ褦Ǥ͡
ʤβˡ#25803ϡǽ餫顢CRYING DOLPHIN#25797α¦ο(αȾʬ)򸵤ˤƤޤ
Ĺ#25800
ͥνȡ 915ڡ 13:17:18 MAIL:uchi@sco.bekkoame.ne.jp 25804
kashi
> ֥ԥ󥯿ʬפȤϡդcmѷʬɽޤ

> ȤʤäƤޤѷ5ĤǤ͡

ǽ顢¦ѷ6Ĥȴ㤤Ʒ׻Ƥơ
äƤϤʤΤˤʤȡ5ĤʤȤ˵ŤȤ
ʬΥޥ̥ø˰ȤǤ
εҤ٤줿ʡäʬäʾ
915ڡ 13:23:20 25805
ϥ饮㡼ƥ
MATHEMATICAǶ˷׻ޤ
̶彣 915ڡ 13:29:47 HomePage:ĩ25806
ޥ
#25801,#25805
ѷ֣ġפ֣ġפˤʤäƤޤŦ꤬ȤޤޤǤ򤪤ޤǤ

ˡǤޤ褦ʤΤȤϻפޤ
http://www.sansu.org/toi468A.gif
Τ褦ʲˡʿʬ줿ĤʤƱǡϡ濴ѣ濴ѣѷˡˤꤷƤޤ
PowerBook G4 915ڡ 15:24:10 MAIL:masaru-y@sansu.org HomePage:25807
uchinyan
#25807
ñʤϻޤ ^^;
ͥνȡ 915ڡ 17:27:48 MAIL:uchi@sco.bekkoame.ne.jp 25808
uchinyan
̥ʡ֥꡼󡢥⡼ޥ󤵤ء
3ΤȤ
>ɽ()ɽѤε夬롣̾3Ĥΰۤʤ
>֡3Τ2Ĥ¬()
>(û)Ƿ֤ȡ3ܤ¬ǰϤޤ줿ΰ(̻ѷ)Ǥ롣
>ΰɽѤδͤϤ餫
ǤBASICȯƥߥ졼󤷤ƤߤȤ": "ǡ
100000 : .125200282661269
200000 : .125095672113839
300000 : .124776594957014
400000 : .124793213409154
500000 : .124879806569528
600000 : .124910137128028
700000 : .124888778917423
800000 : .125002615428481
900000 : .125041080680199
1000000 : .124976433659403
Ȥʤޤߥ졼ʤΤǡ󡢴ͤϡ׻뤿ӤѤޤ
ɤ顢̥ʡ֥꡼ͽۤΤ褦ˡ1/8 դˤʤꤽʴǤ
괺ޤǡ
ͥνȡ 915ڡ 18:34:12 MAIL:uchi@sco.bekkoame.ne.jp 25809
⡼ޥ
#25809
uchinyanء
ɤΤ褦ʴؿǤΥߥ졼ʤΤʬʤʤȤ⡣
դ˰켡λͤƤߤޤ
ĹľˣľޤγΨϡ
濴ϤǣФ褤Τǡ1/2*1/2=1/4 Ǥ͡
줬1/2 ʤ顢1/41/8 Τ褦ˤפޤ
Ǥ礦ɤäʡ
915ڡ 22:10:07 MAIL:kennji72001@yahoo.co.jp 25810
⡼ޥ
á1/2Ǥ͡
¦ˣȤ1/4顢ξ¦ˤϡ1-2*1/4=1/2
ʤäѤꡢ1/8 äݤǤ͡
ʤȤ⤤øʤȤǡ
915ڡ 23:01:29 MAIL:kennji72001@yahoo.co.jp 25811

18.84Ǥ褫äΤOTL
471/25̵ʬɽʤȡʤȻפäƤ
ǧڤˤ471/25ɲäۤɤ⡣ʺ̵̤ʻ֤ᤴƤޤä衣
ƽ 915ڡ 23:13:44 HomePage:θ줳ߤ󡪡25812
uchinyan
#25809ؤɲá
Ĺʤޤץ񤤤Ƥޤ礦
̶ A 0 ٤λҸ B̤Ǥդΰ֤ C Ȥäơ BC ˺ɸɽޤʤ濴 O Ȥޤ
B ϡ 0 پʤΤǡ٤μͳ٤Ǥ y Ȥޤ C ϡ٤ a٤ z ˤƤޤ
顢a, y, z ϼͳΨͿ뤳ȤǤȲꤷƤޤˡפǤ礦
ˡ̾δؤμȤޤϡϤWebٶΤǡҤäȤְäƤ뤫⤷ޤ󡥡^^;
ơ̻ѷABC ͤޤȡA a ˤʤ뤳Ȥʬޤ
̻ѷϡ¬ûȤƤΤǡa ФĶϡA = 2 - a Ȥޤ
ˡB = bC = c Ȥޤ
̻ѷγդϡդȤʤ¬濴ѤɽΤǡAOB = yAOC = z ǤˡBOC = x Ȥޤ
̻ˡθ顢
cos(x) = cos(y)cos(z) + sin(x)sin(y)cos(a)
cos(b)sin(x) = cos(y)sin(z) - sin(y)cos(z)cos(a)
cos(c)sin(x) = cos(z)sin(y) - sin(z)cos(y)cos(a)
b, c ޤޤ
̻ѷ s ϡϤꡢ̾δؤ顢s = a + b + c - ȵޤޤ
ϡѤ­ơɽѤ 1 ȤƤΤ 4ФdzäơäƤѷθĿʿѤޤ
ʤץθ³ˤ夢դʤɤǷ׻顼ˤʤ뤳ȤΤǡɤιסDO LOOP դꡢ򤷤Ƥޤ

2005/09/16 8:00am ɲá
RANDOMIZEΰ֤򾯤Ѥޤ褦Ǥ

2005/09/16 11:30am ɲá
ۤȤפǤˡ˹פޤ
ȤϤ׻̤˲ϸޤ󡣤ޤǤ顢Ǥ͡षɤ줬礭ʤäʤ
100000 : .124803944399878
200000 : .125444581427515
300000 : .125101556380867
400000 : .125008553196104
500000 : .124829641436551
600000 : .125150645416347
700000 : .125171487607043
800000 : .125133544380509
900000 : .124987211093014
1000000 : .125020609081723
ˤ衢1/8 = 0.125 դեե餷Ƥ봶Ϥޤ
ʲץǤ

LET n = 1000000
FOR k = 0 TO n STEP 100000
RANDOMIZE
LET sum = 0
FOR i = 1 TO k
LET x = 0
LET s = 10
LET t = 10
DO WHILE (ABS(s) > 1) OR (ABS(t) > 1)
DO WHILE SIN(x) = 0
LET a = 2 * PI * RND
IF a > PI THEN
LET a = 2 * PI - a
END IF
LET y = PI * RND
LET z = PI * RND
LET x = ACOS(COS(y) * COS(z) + SIN(y) * SIN(z) * COS(a))
LOOP
LET s = (COS(y) * SIN(z) - SIN(y) * COS(z) * COS(a))/SIN(x)
LET t = (COS(z) * SIN(y) - SIN(z) * COS(y) * COS(a))/SIN(x)
LOOP
LET b = ACOS(s)
LET c = ACOS(t)
LET s = a + b + c - PI
LET sum = sum + s
NEXT i
IF k <> 0 THEN
LET p = sum/(4 * PI)
LET p = p/k
PRINT k;":"; p
END IF
NEXT k
END
ͥνȡ 916ʶ 11:28:27 MAIL:uchi@sco.bekkoame.ne.jp 25813
uchinyan
#25810#25811
#25813ǼȤǤߥ졼Ȥ⡢ޤ˷׻Ƥ롢ȤǤ͡
ͥνȡ 915ڡ 23:58:35 MAIL:uchi@sco.bekkoame.ne.jp 25814
Ѥ
ǽΰ̣㤨
ʪФƤޤ

ʤߤ˸޳ѷ˸޳ѷΤȴ㤤Ƥޤޤ
ʡ硡 916ʶ 0:10:47 HomePage:ѤΥۡڡ25815
⡼ޥ
#25813
uchinyanء
ܤϪ̤Ǥ錄ˤϤĤƤޤ
ȤǡѤơˣ濴ޤޤΨ뤤ϡˣ濴ޤޤΨʤƤΤϤɤʤΤʤ
916ʶ 0:14:34 MAIL:kennji72001@yahoo.co.jp 25816
uchinyan
#25811
1Ǥϡ
3ΤȤ
䡡ɽ()ɽѤε夬롣̾3Ĥΰۤʤ
䡡֡3Τ2Ĥ¬()
䡡(û)Ƿ֤ȡ3ܤ¬ǰϤޤ줿ΰ(̻ѷ)Ǥ롣
䡡ΰɽѤδͤϤ餫
Ѥˤ복ǰΤǤϤʤΤǡ23

䡡Ϳ줿ɽ̾ˡ4Ĥΰۤʤ֡
䡡Ϳ줿濴4Ĥˤޤ4Τ
䡡ΨϤĤ
1Ǥ򤯤Ȥˤʤޤ͡
ϡΤ 1/2 ǤȤȤϡ
1 1/2
21/4
3ߥ졼ˤڵ 1/81/4 꾮

nͽۡ(1/2)^n ˤʤΤʤ
ͥνȡ 916ʶ 11:47:07 MAIL:uchi@sco.bekkoame.ne.jp 25817

#25772:
9äƤΥȤΤꡢ衹󤫤黲äƤޤ
ϻѴؿȤä޵ޤβΤϤ䤵
ˡΤϤʤȷɤǤƤޤޤ

̥ʡ֥꡼󤬽Ф줿Ǥ̣äΤ
פޤ

䡡[]
䡡ɽ()ɽѤε夬롣̾3Ĥΰۤʤ
䡡֡3Τ2Ĥ¬()
䡡(û)Ƿ֤ȡ3ܤ¬ǰϤޤ줿ΰ(̻ѷ)Ǥ롣
䡡ΰɽѤδͤϤ餫

⳧ͽ̤1/8Ȼפޤ

ͳϼ̤Ǥ
ʾȸˤۣʵ...
[]Τ褦˵̾3̤ߤȤ3Ĥߤ
3ʳˤ⤦3սǸ򺹤ޤ
η3Ĥߤ[]ζ̻ѷȹ碌8Ĥζ̻ѷ
̤ʬ䤷ޤ
줾8Ĥζ̻ѷƱʴطˤޤ餽줾ɽѤ
ͤƱǤ
ε̾8Ĥζ̻ѷ°ʤΰϤޤ󤫤
[]ζ̻ѷɽѤδͤ1/8Ȥʤޤ


916ʶ 14:26:47 25819
uchinyan
#25819㤵 ΤͤǤ
ʤۤɡࡣϡ򤤹ͤǤ͡
ΤˡľŪ¿ۣʵ⤷ޤŪˤ褦˻פޤ
1/2, 1/4, 1/8, ..., δ餷ơʤȤľŪ˴ñꤽʵƤޤ
ǤͤnǤ¿ʬƱǤ͡ιͤˤæ˹Ǥ ^^/
̥ʡ֥꡼󡢤ɤǤ礦
ľŪ繥ʻϡǼƤޤޤ ^^
ͥνȡ 916ʶ 15:46:38 MAIL:uchi@sco.bekkoame.ne.jp 25820
⡼ޥ
#25819
㤵βˡˤ錄ǼǤ


ιͤɤʤޤǤ礦
ˣ濴ޤΨϡ

ˣ濴ޤΨϡ

ޤǤƱͤʤǤ礦
916ʶ 15:08:56 MAIL:kennji72001@yahoo.co.jp 25821
uchinyan
#25821
ǽ顢뼫ͳ٤μΤǡۤʤȻפޤ
12ʤɤͤƤߤȡɤƱˤʤ褦Ǥ
ϤʤǤפϡ
2ξϡ濴Ѥˤʤޤϱ߸̤ĹбΤǡ߾
3ξϡΩγѤˤʤޤϵζ̻ѷɽѤбΤǡϤꡢ
ȤȤˤʤꤽʵޤ
󡢤Ǥ⡢㤦ʤ
ͥνȡ 916ʶ 18:50:08 MAIL:uchi@sco.bekkoame.ne.jp 25823
⡼ޥ
#25823
uchinuanء
ͻ꤬Ȥޤ
錄⤽ƻޤ

ˤƤ㤵ˤϡܤڡפޤͤ
917ڡ 0:26:59 MAIL:kennji72001@yahoo.co.jp 25824
n
ޤ
ߤޤ󾯤ǼĤǡˤʹ꤬ޤƼ䤵Ƥ
Ū˥()㤤ʤΤǥ롼ƤäƹʤΤǤ

ϥͥå(ch)ȯǤ
aΤΤ줾ĺ濴ȤȾaε򤫤Ȥ,4Ĥεζ̤ʬѤ衣

ȤȤ餷ΤǤϤɤɾǤޤ礦
ʬʤβƤΤǤäƤ뤫Ϥ狼餺30ʬʾ̤ˤ뤷ʤ(ȤȤ)ϥå꽭פäƻʤΤǤ

917ڡ 20:30:26 25825

a
1a
ߤޤ
917ڡ 20:39:29 25826
̥ʡ ֥꡼
#25813#25819
uchinyan󡢤㤵 󡢤꤬Ȥޤ
̩ʹͻ䤫ۤ˴ޤߥ졼ξ̤1/8ȤƱ
Ф櫓Ǥ͡ȯꡢ񤭹Ǥߤ夬ޤ

㤵 βˡγˤϡ֤줾8Ĥζ̻ѷƱʴطˤפΰ˿Ԥޤ͡
ʷʤ鶯ϤΤǤ
ȤȤϡuchinyanͽ(#25817)nξγΨ (1/2)^nפʵޤ

uchinyanߥ졼ٶˤʤޤǰΤץƳФ˻ޤǤε
ɤäƤߤޤȻפޤ

⡼ޥ󤵤 #25816
uchinyanƱǡɤƱ˵夹Ȼפޤ
ĤϡuchinyanϪ줿ߥ졼ˤäƲ򤯼ˡ򸫤Τ
äˡ⿷˰ʲͤĤޤ
#25816 򸫤ơֻΤȤäꡪפȻפޤ)

|[]
|3˸ꤵ줿Ϥ롣
|3֤Ϥΰ4Ĥΰۤʤ֡
|Ϥ42ķǤǤΤ(뤤̾)ˤΨϤ餫

Τ褦ͳ顢ƱˤʤȻפΤǤɤǤ礦

(ͳ)
ΰФơľϣε̤ȤθǤб롣
бŤˤäơΰ4ˤȤ뤳Ȥϡǵ̾
4ˤȤ뤳Ȥ˵夹롣
(̵±ޤǴޤƹͤƤȤäȤޤ)
918 12:10:27 25827
uchinyan
#25824#25827
̥ʡ֥꡼⡢㤵 βˡǼʤ줿褦ʤΤǡϤҤȤޤǤ͡
ˤƤ⡢㤵 βˡˤϡˡƬ򥬡Ȳ줿褦Ǥ
դʤäʬʢΩġ (^^;
㤵 βˡγˤϡ֤줾8Ĥζ̻ѷƱʴطˤפΰ˿Ԥޤ͡
Ϥפޤ
餱ˤߤǶդäȡ̤Ȥоι⤤ͤĤΰǤ뤳Ȥ΢ˤȻפޤ
㤵 󡢽񤭹ߡѤ꤬Ȥޤ
ơǤ
⡼ޥ󤵤Τ褦ˡΰRƱ褦оäƤСʤȻפޤ
Ⱦμͳ٤ϡоˤä껦ȻפΤǡ
Ǥʤϡä̯ǤϤʤʤ
Ⱦμͳ٤ƤơΰRη˰¸褦ʵ⤹ΤǤ
ͥνȡ 918 14:32:44 MAIL:uchi@sco.bekkoame.ne.jp 25828
⡼ޥ
#25827&#25828
̥ʡ֥꡼Ĺ̾ȡˡuchinyanء
[]
|3˸ꤵ줿Ϥ롣
|3֤Ϥΰ4Ĥΰۤʤ֡
|Ϥ42ķǤǤΤ(뤤̾)ˤΨϤ餫

錄濴ʳǤϤɤʤäƹͤƸǤñǤϤʤ˻פޤuchinyannƱǤ
ˤƤ濴Ǥʤ硢㤨С߼˸¤ʤᤤϡΨˤʤꤽ˻פΤǤ
ξˤƤ濴ǤʤСȤС1/3ʤ顢1-((1/3)^2+(2/3)^2)=4/9 < 1/2 ȤʤȻפޤ
918 16:54:05 MAIL:kennji72001@yahoo.co.jp 25829
⡼ޥ
#25835
n˼ꡧ

1aΤΤ줾ĺ濴ȤȾaε򤫤Ȥ,4Ĥεζ̤ʬѤ衣

2äa^2/2-3*a/2 ˤʤȻפޤ3ˤʤȶֿ޷Ƭ⤫Фʤ

ޤ㤦ʤΤǤ


ɤΤ褦nĤȤ߹碌Ǥ⡢椫顢פ18dzڤ褦18Ĥο֤ȤǤ롣Τ褦nκǾͤߤĤƤ

ɤʤޡȤʲˡ򶵤Ʋޤ
919ʷ 14:13:57 MAIL:kennji72001@yahoo.co.jp 25830
⡼ޥ
a^2/2-3*a/2
a^2/2-3*a^2/2 = a^2*(-3)/2
919ʷ 17:56:10 MAIL:kennji72001@yahoo.co.jp 25831

䥹⡼ޥ󤵤
ͤHNǤޤϤȤ
꤬Ȥޤ
ѤVȤ
ͤβ
V/a^3=(sqrt(2)/12)+4(18-7sqrt(6))pi/27
ϻʹޤäѤ㤦褦ʡ
ˡϥ륭ǥ򤤤ĤȤäƤޤ

919ʷ 18:40:36 25832
⡼ޥ
#25832
> nߤء
HN ְ㤨Ƥʤޤֿ˼פΡֿߡפʤǤطʤɡä顢֥奦פɤǤ

ǤФäȾܤˡϪ餢꤬ΤǤ
֤϶ʤΤǤơʹƤʬʤǽȤϻפǤɤ͡ʴ
919ʷ 22:48:20 MAIL:kennji72001@yahoo.co.jp 25833
ޥ
֥֥ŵspecialפΣ渶Ƥ褦䤯񤭤ޤڲ᤮Ƥ
Ȥ򤹤ä˺ƤƹƤƽ񤤤Τǥߥ뤫⡣(^^;;

--------ä-----------
뤤Ƥ⽪ꡢ褤ԤԤä֥֥νפäƤޤޤ
ǯεϥ֥뻰桢餱ʤΤǤǯϤΩǯʤ
ǤԤʤᤢޤ餱ʤȤ餷ǯˤʤꤽʴǤ
Ϥʤʤ©
Ƴͤ͡Ǥ֥פȤޥ󥬤Ϥ¸Ǥ礦ŷͥ
顼Υ͡Ȥޤ꤬ʥޥ󥬤ʤΤǤ
줬򤤡ǡϡפʤƮäƤΤǤʻϤ
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ȡξijΨϡ

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PowerBook G4 921ʿ 1:55:28 MAIL:masaru-y@sansu.org HomePage:25834

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񤳤Ȥޤ⤦ٹͤƸƤϤ餯ʬǵջѴؿȤʤȲ򤱤ʤȤ狼ޤߤޤ󡢤꤬Ȥޤ͡俧ǤƤߤޤǤ
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921ʿ 23:09:23 25836