Ieienoa?noai iauaai e
i?ioanneiiaeueiiai ia?aciaaiey ?O
A?yineee Ainoaea?noaaiiue
Oaoie/aneee Oieaa?neoao
eaoaae?a
«Aunoay iaoaiaoeea»
?an/aoii-a?aoe/aneay ?aaioa ?1
Aa?eaio ?103
Nooaeaio a?oiiu 97AeII-1
Eiia/aa Ae.A.
I?aiiaeaaaoaeue
Naeeoia A.O.
A?yine 1997
1. Iienaiea ecaeaeey
Ia ?enoiea 1 ecia?aaeaii a o?ao i?iaeoeeyo ecaeaeea – iiaa?oiinoue,
ninoiyuay ec iaeiiai eonea oeeeeiae?e/aneie e aeaoo eoneia eiie/aneie
iiaa?oiinoae (EiEiOe).
Aeiiieieoaeueiua naaaeaiey:
?anoai? eiiona ( = 300
?aaeeon oeeeeiae?a R = 5 ni
?annoiyiea io ine eiiona aei ine oeeeeiae?a l =2 ni
?annoiyiea iaaeaeo inueth oeeeeiae?a e aa?oeiie eaaeaeiai ec eiionia L =
6 ni
Auai? nenoaiu eii?aeeiao
A ea/anoaa ia/aea eii?aeeiao aicueiai oi/eo ia?ana/aiey inae eiionia.
Inue aanoeenn ionoei aaeieue ine ia?aiai eiiona, inue i?aeeiao – aaeieue
ine aoi?iai eiiona, inue aiieeeao – ia?aeeaeueii ine oeeeeiae?a, i?e/ai
oae, /oiau nenoaia eii?aeeiao auea i?aaie.
?annoiyiea d io aa?oei eiionia aei ia/aea eii?aeeiao iaoiaeei n
iiiiuueth Oai?aiu Ieoaai?a:2
+ 2 = 7.7 (ni)
oaeei ia?acii inue oeeeeiae?a iienuaaaony neaaeothuei o?aaiaieai:
Aa?oeia ia?aiai eiiona eiaao neaaeothuea eii?aeeiaou – (-7.7; 0; 0),
aa?oeia aoi?iai eiiona – (0; -7.7; 0).
Aiaeeoe/aneia iienaiea ianoueo iiaa?oiinoae
O?aaiaiea oeeeeiae?e/aneie iiaa?oiinoe:
(o+2)2+(y+2)2 = R2 ( I )
Ia?aiao?ecaoeey oeeeeiae?e/aneie iiaa?oiinoe:
(II)
Ii?aaeaeaiea iieiaeaiey oaa ia oeeeeiae?e/aneie aeaoaee:
.
O?aaiaiea ia?aie eiie/aneie iiaa?oiinoe:
(x + 7.7)2 tg2( = y 2+ z2 (III)
Ia?aiao?ecaoeey ia?aie eiie/aneie iiaa?oiinoe:
(IV)
Ii?aaeaeaiea iieiaeaiey oaa ia ia?aie eiie/aneie aeaoaee:
iio?aaoai, /oiau (([-(sin(;(sin(]
Oiaaea oia aoaeao iaeaieaa oaeaeai io aoi?iai eiiona.
O?aaiaiea aoi?ie eiie/aneie iiaa?oiinoe:
(y+7.7)2 tg2(=x2+z2 (V)
Ia?aiao?ecaoeey aoi?ie eiie/aneie iiaa?oiinoe aiaeiae/ii ia?aie (IV):
(VI)
(Oaeaea iiaeii iaieoenue e aac iaa ca n/ao eniieueciaaiey neiiao?ee).
Iienaiea eeiee ia?ana/aiey oeeeeiae?a e ia?aiai eiiona ia aue?ieea
oeeeeiae?a
Iiaenoaaei ia?aiao?ecaoeeth oeeeeiae?a (II) a o?aaiaiea ia?aiai eiiona
(III), iieo/aai o?aaiaiea:
)2+v2, eioi?ia a aeaeueiaeoai i?aia?acoaony e aeaeo:
(VII)
Ciae «+» niioaaonoaoao «aa?oiae» iieiaeia eeiee io?aca, Z ( 0 , ciae «-»
– «ieaeiae» iieiaeia yoie eeiee. I?e iaeioi?uo cia/aieyo ia?aiao?a u
iiaeei?aiiia au?aaeaiea io?eoeaoaeueii, /oi niioaaonoaoao ionoonoaeth
ia?ana/aiey ia?acothuae oeeeeiae?a n ia?aui eiionii.
Iienaiea eeiee ia?ana/aiey oeeeeiae?a e aoi?iai eiiona ia aue?ieea
oeeeeiae?a
, iieo/aai eeieth ia?ana/aiey oeeeeiae?a ni aoi?ui eiionii.
Iienaiea eeiee ia?ana/aiey oeeeeiae?a e ia?aiai eiiona ia aue?ieea
eiiona
Iiaenoaaeyy ia?aiao?ecaoeeth ia?aiai eiiona (IV) a o?aaiaiea oeeeeiae?a
(I), iieo/aai o?aaiaiea:
+2)2 = R2
i?aia?acoai:
+2)2 = R2
+4-R2 = 0
)+36.49-R2 = 0
Ionthaea
(IX)
;
-5.7cos();
c=36.49-R2 .
Eeiey ia?ana/aiey neiiao?e/ia ioiineoaeueii eo/a (=0; aaoaue,
niioaaonoaothuay ciaeo «-» a oi?ioea (IX), iinoi?iiiyy.
Iienaiea eeiee ia?ana/aiey eiionia ia aue?ieea ia?aiai eiiona
Iiaenoaaeyy ia?aiao?ecaoeeth ia?aiai eiiona (IX), a o?aaiaiea aoi?iai
eiiona(V), iieo/aai o?aaiaiea:
eaaae?aoiia o?aaiaiea ioiineoaeueii ia?aiaiiie (.
Iinea oi?iuaiey iieo/ei:
tg2(+cos())+d2 (tg2(-1)=0
, (X)
;
tg2(+cos();
c = d2(tg2(-1).
Aue?ieea aoi?iai eiiona
Iia eaeaioe/ia aue?ieea ia?aiai eiiona.
?an/ao aue?ieee oeeeeiae?e/aneie aeaoaee
Iiaenoaaeyai a oi?ioeo (VII) eiie?aoiua /eneiaua aeaiiua e ?ann/eouaaai
ianeieueei oi/ae (u, v). ?acoeueoaou io/aoa caiinei a oaaeeoeo 1.
, iieo/aai eeieth ia?ana/aiey oeeeeiae?a ni aoi?ui eiionii. Iieoaunioo
oeeeeiae?a i?eiai ?aaiie 8 ni.
?an/ao aue?ieee eiie/aneeo aeaoaeae
I?iecaaaeai ?an/ao ii oi?ioeai ((; () ii oi?ioeai (IX, X). ?acoeueoaou
?an/aoia caiinei a oaaeeoeu 2 e 3.
?aaeeona (0=26ni., e, o/eouaay neiiao?e/iinoue ioiineoaeueii eo/a (=0,
iino?iei aue?ieeo eiie/aneie aeaoaee.
Ecaioiaeaiea aue?iae aeaoaeae, nai?ea ecaeaeey
Ecaioiaei aue?ieee aeaoaeae n i?eioneaie ia niaaeeiaiea eo a ecaeaeea,
o/eouaay i?aaeuaeouaa iienaiea. Au?aaeai e neeaei.
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