ͣ.ǥ
ܣʬȣãС£äȤθ򤽤줾졡ѡȤȤѤȣ¤֤
ܣãѣȡܣ£ѣȡܣѣСܣ£ѣС60
ܣ£Сܣѣ£С4
äơФϢ£Ѥ⿴ܣѣСܣѣ/226
ä
ܣУá180ݡ6026ˡ94롡Ȥޤ

äꤷǤ͡ʤˤƤ⡢꤯ΤǤ͡ޤ
128ڡ 0:20:47 38652
ޥ
äȤΤ餻

12/18ˤˡˤ椫οʤޤϢȤϢȤˤ˺ǯޤǤ̤ꡣʷض᤯ض᤯Τɤ餫ǻˤ⤷äƤߤä㤤ޤ顢᡼򤯤ޤ
iMac 128ڡ 0:28:34 MAIL:masaru-y@sansu.org HomePage:Men @ Work38653
⡼ޥ
ޤܤʤΤɤ...^^;
Ⱦ¤2:1αߤνŤʤʬ AP ȹͤ...
礭ʱߤ濴OȤȡAOP=8
OP αĹȾߤȤθxȤ...
AXP=8
Ĥޤ...x=C ...OPCϰľˤꡢOA=AC Ƥ...
...
=180-(180-8)/2=94

ǤΤʤ...?
128ڡ 2:38:20 38654

#38654 ȤۤƱ
OPAĺ8ջѷǡ86
868=94
ǤȾʬǤ

#38652 β򸫤ơ
åꤷޤ
Ҥ᤭äǤ

޷Ҥä֤ʿԻշäꡢ
ڤäŽäꤷޤޤˡĤ줺
ͤˤȤäƤǤ

128ڡ 5:33:48 HomePage:38655

ޤޤ˺Ƥ
http://www.gensu.co.jp/saito/langley/
ΥȤ֥åޡäƤäȥǤϤ뤱
μ¤˰̤Ȥ줿Τ()
128ڡ 8:05:02 38656
ϥ饮㡼ƥ
Ϥ褦ޤѴؿȤäƤޤޤߤޤ
ԡ 128ڡ 8:24:48 HomePage:湩ؤ˥38657
doba
#38656
ʤߤˡΥȤκǽFlashǡ
1-13ˤơx=94Ȥȡ #38652ȤϤޤ̤ξˡΥҥȿޤޤ
ʷ1-13x=140ϡ󥰥졼Ǥ͡

򤹤ʤ飲ܤFlashǡʾС
128ڡ 10:40:18 38658
uchinyan
Ϥˤϡơϡ
㤨ʤƷ빽ͤǤޤޤäȤ⡤ɡʴǥå (^^;

A BC ˿򲼤­ HAH PC Ȥθ D Ȥޤ
ȡABC ջѷʤΤ ABC = ACB = (180- BAC)/2 = (180- 104)/2 = 38롤
о DBC = DCB = 30ǡ
ޤABP = ABC - PBC = 38- 34= 4롤DBP = PBC - DBC = 34- 30= 4ǡABP = DBP
ˡBDH = 60롤BDP = DBC + DCB = 30+ 30= 60롤
ADP = 180- BDH - BDP = 180- 60- 60= 60ǡBDP = ADP
ĤޤꡤP ABD ⿴ĤѤʬθˤʤޤ
ǡABD = 8롤ADB = 120ꡤBAP = DAP = (180- ABD - ADB)/2 = (180- 8- 120)/2 = 26Ȥʤäơ
APC = 180- DAP - ADP = 180- 26- 60= 94롤ˤʤޤ
ͥνȡ 128ڡ 11:25:21 38659
uchinyan
ǼĤɤߤޤ

#38652#38659
P ABBAC ʬ PC θλ뻰ѷ⿴ˤʤäƤ뤳ȤѤˡ

#38654#38655
Ⱦ¤2:1αߤνŤʤʬ AP ȹͤ...
ȤˡŤʤʬζ̸ AP Ǥ͡
ޤ¿ʬǤߤ ABP ̤ߤǡAX Ͼߤľ¤ʤΤǤ礦
ΤȤ C Ͼ߾ˤϤޤޤ X ȰפΤʡ
ΤȤAC ߤľ¤ˤʤäƤǤȾ椬ޤ 21 ˤʤäƤΤʡ
ʤʤ򤤹ͤǤ褯ʬʤ
Ȥ⤦ȵͤ᤿褵ʵޤ
ʤȯۤʬ㤦ΤǤ夬ޤξ#38662ȻƤ褦Ǥ

#38662
AB դȤ ѷAOB AB 鸫 P ȿ¦˺äƹͤˡ

#38657
ؤˤˡ

ʤ

#38656#38658
äȡ󥰥졼ɤäΤʡ
֤줿顤ä긫Ƥޤ
ͥνȡ 128ڡ 15:12:33 38660
doba
꤬󥰥졼ƱˤΤǡ
⿴Ȥä򻲹ͤˤơ󥰥졼˵Ȥä뤳ȤǤޤ

ۡʥ󥰥졼
̻ͳѷABCDˤơ
ABD=20롤 DBC=60롤 BCA=50롤 ACD=30ΤȤ
BDA=30Ȥʤ뤳Ȥ衣

ھ
ABCʬʬCDȤθEȤ
ʬBEE¦αĹXʬABA¦αĹY򤽤줾Ȥ롣
CAB=50=BCAʤΤǡBC=BAǤꡤ
A,CϡABCʬǤľBE򼴤оΤΰ֤ˤ롣
CEB=60ʤΤǡоAEB=60Ǥꡤ
AED=DEX=60ȤʤΤǡľDEϢAEXʬ
ޤABE=ABC/2=40=2ABDꡤľADϢABEʬ
äơDϢABE΢ABE¦ˤ˵Ȥʤꡤ
ľADϢYAEʬǤ롣
CAE=ACE=30оˡYAE=180-CAE-CAB=100롤
DAE=YAE/2=50롤DAB=DAE+CAE+CAB=130롤
BDA=180-DAB-ABD=30롡ʾ
128ڡ 12:34:37 38661
doba
#38658 ǿ줿Ρ̤ξˡפ񤭲Ƥޤ

ABC=BCA=38롤ABP=4롤PCA=8롥
ABդȤѷAOBAB鸫Pȵ¦˺ȡ
CAO=104+60=164ǡAO=AB=ACʤΤǡ
AOC=OCA=8롥
OCA=PCAꡤOPCƱľˤ롣
OBP=OBA+ABP=64롤BPO=BCP+PBC=64=OBPꡤ
OP=OB=OAȤʤꡤ
AOP=8ꡤOPA=PAO=86롥
衡APC=180-OPA=94롥
128ڡ 13:27:53 38662
ͣ.ǥ
#38661 ʥ󥰥졼
Ф餷ˡ
Ǥ͡®⤵Ƥ餤ޤ
128ڡ 13:50:38 38663

£äؤοȣУäȤθѤȤƣФ£Ѥ⿴Ǥ뤳Ȥ餫򤭤ޤ
Ǥγν񤭹ߤ򸫤ʤ鼫ʬβˡǧ顢̤γѤγ٤Ȥƿޤ˥⤷ƤʾˤϻѤޤ󤬣Ф£äؤοޤ˽񤤤Ƥˤܣ£ѣФοͤȴ㤤Ʋ򤤤Ƥޤ
ϹäƤޤʤޤޡ˥ƥȤȤʬϥХåƥǤʡ
128ڡ 13:58:05 38664

֥󥰥졼פǵŤޤ
ФѤȣ£ĤȣФ£äؤοθΣѷƤޤ͡
128ڡ 14:04:14 38665
abcba@jugglermoka
Ǥټʬꥸʥѥ뤬ѥ̿󥳥137˸ǺܤޤɤΥѥ뤬Ǻܤ줿ȯʤΤȯ䤷ƤΤڤߤˤƤޤ롼뤫鴰ꥸʥκޤǤˤϤʤǺܤ줿Ȥ𤷤Ƥޤȯ1210ǰͤǤ¿οͤ˲򤤤ĺΤǵꤤפޤ٤˺̾񤤤ƤbaLLjugglermokaȽ񤤤ƤΤʬǤ
128ڡ 14:26:03 38666
uchinyan
#38662
ʤۤɡ򤤤Ǥ͡
ʤȯۤʬ㤦ΤǤ夬ޤξ#38654ʤɤȻƤ褦Ǥ
#38654ʤɤ΢դˤʤäƤΤʡ
ͥνȡ 128ڡ 15:10:17 MAIL:uchi@sco.bekkoame.ne.jp 38667
sinnta
ǽϻѷ椫äƤޤȯۤѤƳäƤ,
ˤɤĤޤ
Ρ 128ڡ 15:51:03 38668
⡼ޥ
#38660
uchinyan ^^
Ⱦ¤ 2 : 1 αߤäƤΤϲäǤ...
Ǥ...Ⱦ¤ΨϤȤ⤫Ȥ...Orz...
νŤʤθAPȤ...
ߤ濴 O Ȥ...AOP=8
ߤ濴 O P ȾߤȤθ C Ȥ...
ΤȤACP=8 ˤʤޤϤʤΤ...
ΤȤ...AO=ACôݤƤޤޤ...
AB ϡ߾˳OAC=60ȤƼΤ...ջѷABC¸ߤǤ...
Ⱦ...APCϵޤä㤦...^^;...?
128ڡ 16:01:36 38669
uchinyan
#38669⡼ޥ󤵤
#38662ߤϤȲǤ¿ʬ줬΢դˤʤäƤȻפޤ
ͥνȡ 128ڡ 18:04:15 38670
hide
򤱤ʤȤƺɸ֤ǺǸ˥ݥ
30+arctan((3*tan34*tan38+tan38-2*tan34)/(3*tan34-1))=94
ˡġ

ȡࡡ 128ڡ 22:15:58 38671
hide
飱ˤƶðۤΨǤ
įƤߤƤ
ʣΤߵ


x=2cos(2/7)ˤͭ¿༰P(x)ΤǾġǹ⼡ηǤΤʤ
ʢžܼP(2cos(2/7))=0Ȥʤ褦P(x)ȤȤǤ
ȡࡡ 128ڡ 21:53:34 38672

Ūˤ#38652#38659ƱǤջѷ򸫤ޤ֤פФˤäơCB˽Ťʤ褦ޤ֤PѤʬˤ褦˸ΤDzˡפĤޤ
128ڡ 22:27:42 38673
doba
#38672
ʤ
P(x)=x^6+2x^5-3x^4-6x^3+2x^2+4x+1
Τ褦ʵϤޤ줬ǾȤΤ򼨤ȸ
ե꡼Ƥޤޤ͡
ʾϡc=cosȤȤcos(7)=64c^7-112c^5+56c^3-7cǡ
=2/7Ȥcos(7)=1Ȥʤ뤳Ȥꡣ
128ڡ 23:03:23 38674

2/7=Ȥ֤
cos(3)=cos(4)
4cos^3-3cos=8cos^4-8cos^2+1

cos=x֤
8x^4-4x^3-8x^2+3x+1=0
(x-1)(8x^3+4x^2-4x-1)=0 餫x=1Ǥ̵Τ
8x^3+4x^2-4x-1=0Τ

x^3+x^2/2-x/2-1/8=0Ͼ
ޤcos(2/7)̵
q/pȤʬʧĤ
Ȥꤢޤ
128ڡ 23:16:45 38675


̵ʤΤǰ켡ʤȤϤꤨʤ
¸ߤȤ
8x^3+4x^2-4x-1켡󼡼ηˤʤΤǾꤢꤨʤ
äƺǤ⣳ʤΤ
P(x)=8x^3+4x^2-4x-1
128ڡ 23:23:51 38676

2cos(2/7)ʤcos(2/7)ǹͤƤޤͽľޤ2/7=Ȥ֤
cos(3)=cos(4)
4cos^3-3cos=8cos^4-8cos^2+1

cos=x֤
8x^4-4x^3-8x^2+3x+1=0
(x-1)(8x^3+4x^2-4x-1)=0 餫x=1Ǥ̵Τ
8x^3+4x^2-4x-1=0Τ2cos(2/7)=t֤
t^3+t^2-2t-1=0Ȥʤ
ޤtͭȲꤷt=p/q֤(pqϸߤǤq>0)
p^3/q^3+p^2/q^2-2p/q-1=0
ξդq^2ݤ
p^3/q+p^2-2pq-q^2=0
p^3/q=q^2+2pq-p^2
դʤΤǺդʤΤq=1ȤʤtȤʤ뤬ꤨʤΤt̵

t̵ʤΤP(x)켡ˤʤ
t^3+t^2-2t-1=0ΩĤΤP(x)󼡼λ
󼡼߰켡ηˤʤΤǾꤢꤨʤ
äƺǤ⣳ʤΤ
P(x)=x^3+x^2-2x-1Ǥ롣

ʤ󤫳إݤʡ

128ڡ 23:36:56 38677
doba
ʤۤɡcos(3)=cos(4)ˤǤ͡
ʤߤˡä񤤤x^6+2x^5-3x^4-6x^3+2x^2+4x+1
(x^3+x^2-2x-1)^2ȰʬǤޤ
ʥӥդ¿༰ͤ顢64c^7-112c^5+56c^3-7c=1β
c=1ʳźˤʤΤǤ
128ڡ 23:49:52 38678
ͼ
BPCPФ顢ȤʤʤΤǤϤȻפä
֤ä㤱Ǥ
ηǼĤΤߤơٶޤOTL
129ʶ 9:15:20 38679
uchinyan
#38672¾
ǶγʣǿʤΤʡä餳ͤޤ

z = cos(2/7) + i * sin(2/7) Ȥ~פʣǶɽȤˤޤ
ȡ|z|^2 = zz~ = 1x = z + z~ = z + 1/z ǡɡ⥢֥ z^7 = 1 Ǥz 1 ʤΤǡ
z^7 - 1 = (z - 1)(z^6 + z^5 + z^4 + z^3 + z^2 + z + 1) = 0
z^6 + z^5 + z^4 + z^3 + z^2 + z + 1 = 0
z 0 դѷȡ
z^3 + z^2 + z + 1 + 1/z + 1/z^2 + 1/z^3 = 0
(z + 1/z)^3 + (z + 1/z)^2 - 2(z + 1/z) - 1 = 0
x^3 + x^2 - 2x - 1 = 0
꼡ʤȤϡĤΤ褦ʵ򤷤Ƥ⤤Ǥ
ͭΰ켡ΰĤˤͭĤȤɬפǤx^3 η 1 ʤΤ򤷤ʤ
x = 1 -1 Ǥ餫ˤꤨʤΤǡ弰˳ꤷޤ
ǡP(x) = x^3 + x^2 - 2x - 1 ˤʤޤ

ͤФۤȤɰŻǤǤ񤷤ʤȻפΤǤΨפȤΤԻ׵ġ
ȴΤʡȤϤʣǿʤᡩ
ͥνȡ 129ʶ 11:13:09 MAIL:uchi@sco.bekkoame.ne.jp 38680

ι⹻Ǥ
⹻ؤϰϳʣʿ̤ϤäѤǤ
ޤΨ1%ϤäȿʤǤ
129ʶ 12:19:48 38681
doba
#38680
ˡֺǶγפȡ⹻ζʽʿIIIIACˤǤϡ
ʣǿϣβȤƿIIǴñ˰Τ
ʣǿʿ̤ϽФƤʤΤǡ⤽ɡ⥢֥뼫ΤΤʤ
ĤޤꡢʣǿȤΤ虜虜Ȥ˰̣롢Ȥʬ
ڶʤޤ޹⹻´ȤƤޤȤᤷ֤Τǡġ

-1ʿȤ¸ߤʤΤͤơΩĤͤפȤ
ǽʣǿ򽬤äȤˤ⤬뵿ǰڲ줺
ʣǿˤĤƤΥӥ奢륤᡼ʤޤޡ
⹻餬äˤΤʤ
129ʶ 12:22:21 38682
hide
ͤƤƤ꤬Ȥޤ
P(x)=x^3+x^2-2x-1ǹäƤޤ
ʬ#38674dobaΤ褦ˣܳѤͤޤ׻ѤǤʾ
ǤʤȤorz
ͥåȤĴ٤#38677ǽ񤫤Ƥ褦ˡΤäΤǤ#38680βˡϤ줤Ǥ͡
Ѵؿߤƥɡ⥢֥פĤʤꡢޤޤԤ­ʤ˴ޤ

θ弫ʬǤʲΤ褦˹ͤƤߤޤ
ttp://blog-imgs-30.fc2.com/h/i/d/hidnoblog/2cos2Pi7.gif

ͤˤʤոʤ¿꤬Ȥޤ
ȡࡡ 129ʶ 13:09:40 38683
uchinyan
ʤۤɡι⹻ԹǤ͡
Ǥ⡤ֿפäơΤ⹻٥ǤϤʤإ٥Ǥ͡
ʸϤγϤȤƤ⡤ϤγʣǿȤʤä顤ؤäƳؤ٤ʤȻפɡ
ܤξ褬ۤˤʤäޤ
ͥνȡ 129ʶ 13:28:12 MAIL:uchi@sco.bekkoame.ne.jp 38684
ݤä
ʬuchinyanƱ褦ˤޤ

Ǥ⡢hideβ򤤤ʤȻפäƽŪˤäƤߤޤ

ABCAB=ACA/7BC=1ǤȤ롣
ACBC=CDDABDB=DEEȤꡢACDE=DFȤʤ褦FȤ롣
ǡȡ/7BE=xȤx=2cos(2/7)ˡ
BC=BD=DE=DF=1Ȥʤ뤳Ȥʬ롣
ABC梤BCDꡢ
AB*CD=BC*BD
CD=1/ABAB=x+1CD=1/(x+1)
AF=AC-CD-DF=x+1-1/(x+1)-1=x-1/(x+1)
٤δط颤AEF=ABDˤʤΤǡ
AF*AB=AD*AE
(x-1/(x+1))(x+1)=x+1-1/(x+1)
x^2+x-1=x+1-1/(x+1)
x^3+2x^2-1=x^2+2x
x^3+x^2-2x-1=0
x=2cos(2/7)ꡢ뼰
x^3+x^2-2x-1=0
129ʶ 17:32:53 38685
hide
#38685
ʤۤɽǤǤǤ
FμߤǤ͡
οޤϡcos72εѤǤʤȹͤޤޤ
ȡࡡ 129ʶ 18:08:06 38686
ݤä
ʿ̤ǻפФǤʿ̤ΤפΤ餻褦ޤ

ܱȾ¤1ǤnѷˤơĺǤAƤгĹѤnˤʤ롣

ˤоƤߤƤ

㤨n=3ΤȤ(3)^2=3,n=4ΤȤ2*2*2=4ȤʤꡢΩޤ
129ʶ 19:25:50 38687
ݤä
­Ǥгˤդޤޤ
129ʶ 19:26:36 38688
Ѥ
פ֤Ǥ
#38652ƱǤ
1210ڡ 2:15:31 HomePage:Ĥä38689
uchinyan
#38685#38686
ΤˡǤξ򤤤Ǥ͡
ݤäݤΤΰ֤򤦤ޤפƤ褦ǤñˡhideοޡĤޤꡤ
BAC = /7AB = ACD AB 塤E AC ǡAD = DE = BE = BC
ξǤ⡤BC = 1 ȤȡBD = 2cos(2/7) = x ʤΤǡ
ABE ʬ AC Ȥθ F ȤAE = y ȤȡȳѤʬǡ
FAB DAE(y * (x+1)/(x+2))(x+1) = 1yy^2 = x+2
ABC BCE(x+1)1 = 1((x+1) - y)(x+1)y = (x+1)^2 - 1 = x(x+2)(x+1)^2y^2 = x^2(x+2)^2
y õơ
(x+1)^2(x+2) = x^2(x+2)^2
(x+1)^2 = x^2(x+2)
x^3 + x^2 - 2x - 1 = 0
ȡñ˽ФƤޤ͡
ͥνȡ 1210ڡ 15:45:17 MAIL:uchi@sco.bekkoame.ne.jp 38690
uchinyan
#38687
Τˡʿ̡ʣʿ̤ȤФۤȤ餫Ǥ͡
Ǥ⡤طʤ
ͥνȡ 1210ڡ 15:47:13 38691
̤ꤹ
http://d.hatena.ne.jp/kuro-yo/20070418/ 117691203
򸡺о񤫤Ƥޤ͡
1210ڡ 17:04:24 38692
Ҥ餱
Ѵؿɸ˻ʤΤΨ夬äƤʤȿ¬ǽACPʬƹͤµꡣٷƣABC˲CPθRȤȭABR⿴СŤУʬ⤫ʤ򤱤Ϥ줷äǤ
1213ʲС 0:41:24 38693

СΨäƤɤäƻФƤǤäƤ뤫ɤϤηǼĤ뤫ɤǤ狼ΤǡְäͤϤۤȤɤʤ褦ʵΤǤ
1213ʲС 16:09:40 38694

ꥢ륿ǧڤǤʤΤǸ빽äƤޤɤ
1214ʿ 1:40:26 38695
ܤդܤ
äƤ뤫ɤϤηǼĤ뤫ɤ

ǡФΤǤ礦͡
1214ʿ 10:07:15 38696