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Исторические сведения о развитии тригонометрии

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ENOI?E*ANEEA NAAAeAIEss I ?ACAEOEEE O?EAIIIIAO?EE

Iio?aaiinoue a ?aoaiee o?aoaieueieeia ?aiueoa anaai aicieeea a
ano?iiiiee: e a oa/aiee aeieaiai a?aiaie o?eaiiiiao?ey ?acaeaaeanue
eco/aeanue eae iaeei ec ioaeaeia ano?iiiiee.

Ianeieueei ecaanoii: niiniau ?aoaiey o?aoaieueieeia
(noa?e/aneeo) aia?aua auee ienueiaiii eceiaeaiu a?a/aneei ano?iiiiii
Aeiia?oii a na?aaeeia 2 aaea aei i.y. Iaeaunoeie aeinoeaeaieyie
a?a/aneay o?eaiiiiao?ey iaycaia ano?iiiio Ioieiiath (2 aae i.y.),
nicaeaoaeth aaioeaio?e/aneie nenoaiu ie?a, ainiiaenoaiaaaoae aei
Eiia?ieea.

A?a/aneea ano?iiiiu ia ciaee neionia, eineionia e oaiaainia.
Aianoi oaaeeoe yoeo aaee/ei iie oiio?aaeyee oaaeeoeu: iicaieythuea
iouneaoue oi?aeo ie?oaeiinoe ii noyaeaaaiie aeoaa. Aeoae ecia?yeenue a
a?aaeonao e ieiooao ; oi?aeu oiaea ecia?yeenue a?aaeonaie (iaeei a?aaeon
ninoaaeye oanoeaeanyooth /anoue ?aaeeona), ieiooaie e naeoiaeaie. Yoi
oanoeaeanyoa?e/iia iiae?acaeaeaiea a?aee caeinoaiaaee o aaaeeiiyi.

Cia/eoaeueiua auniou aeinoeaea o?eaiiiiao?ey e o eiaeeeneeo
n?aaeiaaaeiauo ano?iiiiia. Aeaaiui aeinoeaeaieai eiaeeeneeo ano?iiiiia
noaea caiaia oi?ae neionaie, /oi iicaieeei aaiaeeoue ?acee/iua ooieoeee,
naycaiiua ni noi?iiaie e oaeaie i?yiioaieueiiai o?aoaieueieea. Oaeei
ia?acii a Eiaeee auei iieiaeaii ia/aei o?eaiiiiao?ee eae o/aieth i
o?eaiiiiao?e/aneeo aaee/eiao.

Eiaeeeneea o/aiua iieueciaaeenue ?acee/iuie
o?eaiiiiao?e/aneeie niioiioaieyie, a oii /enea e oaie, eioi?ua a
nia?aiaiiie oi?ia au?aaeaaony eae

2 2

sin a + cos a = 1,

sin a = cos (90 – a)

sin ( a + B)= sin a . cos B + cos a . sin B.

Eiaeeeoeu oaeaea ciaee oi?ioeu aeey e?aoeeo oaeia sin na , cos na,
aaea n=2,3,4,5.

O?eaiiiiao?ey iaiaoiaeeia aeey ano?iiiie/aneeo ?an/aoia
eioi?ua ioi?ieythony a aeaea oaaeeoe. Ia?aay oaaeeoea neionia eiaaony a
«No?uey-neaeaeoaioa» e o A?eaaoaou. Iia i?eaaaeaia /a?ac 3 45. Iicaeiaa
o/aiua ninoaaeee aieaa iiae?iaiua oaaeeoeu: iai?eia? Aoanea?a i?eaiaeeo
oaaeeoeo neionia /a?ac 1 .

THaeiieiaeeeneea iaoaiaoeee a 16 aaea aeiaeeenue
thieueueo oniaoia a iaeanoe noiie?iaaiey aaneiia/iuo /eneiauo ?yaeia.
Ii-aeaeeiiio, iie caieiaeenue yoeie enneaaeiaaieyie, eiaaea eneaee
niiniau au/eneaiey aieaa oi/iuo cia/aiee /enea I. Ieeaeaioa neiaanii
i?eaiaeeo i?aaeea ?aceiaeaiey a?eoaiaaina a aaneiia/iue noaiaiiie ?yae.
A a aiiieiiii o?aeoaoa «Ea?aiaiaaeaeoaoe»(«Oaoieea au/eneaiee») aeaiu
i?aaeea ?aceiaeaiey neiona e eineiona a ueaneiia/iua noaiaiiua ?yaeu.
Ioaeii neacaoue, /oi a Aa?iia e iiaeiaiui ?acoeueoaoai iiaeioee eeuue a
17-18 aaeao. Oae, ?yaeu aeey neiona e eineiona auaae E.Iuethoii ieiei
1666 a., a ?yae a?eoaiaaina aue iaeaeai Aeae A?aai?e a 1671 a. e
A.A.Eaeaieoeai a 1673 a.

A 8 a o/aiua no?ai Aeeaeiaai e N?aaeiaai Ainoiea
iiciaeiieeenue n o?oaeaie eiaeeeneeo iaoaiaoeeia e ano?iiiiia e ia?aaaee
eo ia a?aaneee ycue. A na?aaeeia 9 aaea n?aaeiaaceaoneee o/aiue
aeue-Oi?acie iaienae ni/eiaiea «Ia eiaeeeneii n/aoa». Iinea oiai eae
a?aaneea o?aeoaou auee ia?aaaaeaiu ia eaouiue, iiiaea eaeae eiaeeeneeo
iaoaiaoeeia noaee aeinoiyieai aa?iiaeneie, a caoai e ie?iaie iaoee.

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