Osnovy teorii Galua.

~3. flocmpoen-uii qupity~em~ ui.'neiiiotl15

191

20. CoeaHHinm A c B HI 13 B, im3 143 LteHTpa, npo~eeme OKPY}KHOCTh
pamiyca BO, iiepece~aioupyo npoiaonx~eH-ne AB B TOqKax M H P. Tor~a
(3.13) AM=-HI AP= — Hi,
]ReflCTBHTenbHo,
H+H1=AM-AP=PM=2OB=-q; HH1==-AA4AP==AO2==1
(npoH3Bexaef1He ceKyfleg4 Ha ee BHeLHH101O 4aCTb paBHO K~p~ KacaTe~lbHOI).
AHajlorwiqHo noJny4Hm:
AN== H3, AQ = -H2.
30. Ha n1poa)OJKeHHH AD
OTKJ1aJab1Baem AE=~AO; CTPOHiM
Ha NE, KaK Ha ALIImeTpe, oKpyKx- H
HOCTb, KOTOpa% nepecet~eT HPOJLO1DK-eHHe AB B F; 143 F, KaK
143 LteHTpa, n1POBO1HM paaiiy4com
AM
AJ=l OKPYKHOCTb, KOTOpafl nepeceqeT AD B G; H3 G,
KaK 143 iteHTpa, Tem xKe paALIYCOM orI14CbIBaem OKPY1KI-OCTb,
KOTOpaR nepeceqeT AD B K< H 'lepT. 1
H. Torjaa
(3.14) AK=9,AH= ~,LUeflCTBHreJabHo,
AH+AK=HK=2G1 =2AJ=AM==H;
AH. AK = AF2 = AN* AE = AN== H3.
OTCioaa MQ>KHO y6eflHTbC, 'ITo AH =- 2 co 2, AK = 2 cos 2r- 4
Os f7, ~~17
2 sin
TaKHM o6pa3oM OTpe3OK AK paBeH CTOPOHe nlpaBi4JbI-oro.34-YI-oJlbHHKa,
BnHcHCHHoO B Kpyr' paxauyca 1.
9. JieaTeHHe Jayr Ha paBHoe tizc.jio qaCrefi. C JLaBHHX Bpemeli BnnJITb,
A~O Hauiero BpemeHH B ailrepa~ype HOflBJJBIOTCq HOnbITKH HaRTH crioco6 JleneHti% I1pO13BOJIbHoL'o yr-aa Ha 3 p3aBHbie tiaCT14 HocpeICTBOM ILHpKYJHI 1H
Ji1HHeAKH (T p ~c e KU~Hq y r.ia). COBpemeHHwe HOIfbITKH 9Toro poaia npoH3BOJLBTCH JLHJeTaHTami, Hi mbi mo)Kem 6bITb yBepeHbl, 'ITO0 OHH o6pe'IeI-bl
Ha Hey)a'Iy. B camom JaeJe, mbW mo1em JOKa3aTb HeBo3Mo)KHOCTb 9TOfl
3aI~a'IH.
PaCCMOTpHM 6oiee o6IAyio 33a'aIy: JLOKa>KeM HeBO3MO)KHOCTb A~eJeHHHI
HpOH3BOJ~bHoR Ay Ha HeqeTiioe npoc~oe (p) qIHCIo qIaCTeft c HomoIl~bRo
[LHPKyn11 H A114ettKlf. )IJf15 M~m Inpeajonlo)HM, 'TO HaM 3aax~aa jiyra Cp.
ByLaem C'IHTaTb H3BeCTHIIMH BeJIH'I4HF co CO( H sifl, H HaftLaem rpynriy raniya