— 2—

— u cos(600+ 6) de— sin(600+) du— un sin(300+ v“) dv+ cos(300+»“) du“= 4/11 u“ sin v' dνν— cos w du'— u“ cos e des²— sin v“ dun= G6I V 3 u' sin(300+ 2) dv— cos(300+) du— u cos(600+† v¹) do“— sin(600+ v“) dun= 4/†*

u' sin(600+) d„— cos(600+) du+† u“ sin(300+) do“— cos(300+ v“) dun= df I Ex his aequationibus et duodecim antecedentibus levi opera derivantur valores †opo, Ft ft,

fu af,... XII XXII. Iunvenitur:

Hu' cos v' do †‿᷑uzsin v' cos v'do' † u“ u sin v' cos d— B(O) a woss, do †‿ + g sin v' du' † u sin νdu+ u“ sin v“ sin v' du“— B(O) sin du'+( 1⁰¼ 0 Su¹ cos v' do“ † u u sin' cos v“ do'uz sin v“ cosv“— B 0) u" cos v' duα— 1 † Ssin v' du“ † u’ sin v' sin"" du" † u“ sin voe du“— B0O) sin v“' du“.

gu cοs(300 Oἀe ‿u'esin(300+)cos(300-+ vJde †u'unsin(600-+“)cos(300+ v)d— B(I cos(300—+†)de † ssin(300- Ddu †u sin(300+ Y2du— usin(600+)sin(300-+r')du— BIDSin(300+)Ddu† u“cos(600 †νϑdον‿μνννin(300+heos(600+b") dv" usin(600+v)eos(600+ℳu“)—BII)n"cos(600+"Jde“* Ssin(600 ον)duν‿‿u sin(300-†")sin(600+Ddun-Hu' Sin(600++vn)edu“— B1I) in(600+ v") dun.

Hu' cos(600—+νJdv usin(600+†)cos(600-+*)Jde ‿u'ueos(600+ vn)cos(300+)de BTVucos(600+)d+‿

= f gf

Ssin(600—*)du X u'sin(600-+)2du †usin(600+)cos(300+v)Jdu— BX)sin(600+ v) du—= frr 4)7 —gusin(300-Jde— u'u'sin(600-)sin(300-†e)de— un:sin(300†“)os(300+ v)den=BTY)urain(300+b)de— Sᷣcos(300ν)du ᷑u'sin(600-†)cos(300+“)du“ † un cos(300+') 2du— BV) cos(300+“) du“.

— Hu'sin v de'— u¹2 sin o' cos u do ‿‿ u u sin v“' sin v' deν+‿ BrI) u, sin u do-+ +& cos v' du' † u¹ cos vs2 dus— un sin"“ cos" du— B0) cos o du—

— Hul' cos v' dou‿-u? u¹ cos v cos v doutte sin" cos““ dou. †Q B(vVuu cos 9do—

. 5— vI); — H sin o du— u¹ cos vssin v du ‿‿ u sin»u duu”) in e07 don,

=af u.

scos(300+ du † u'cos(300+ v')²du'— u“sin(600+v) cos(300+v) du— B CrT) cos(300+ v) du——'m, rut — gu cos(600+*) do‿ͤu'u cos(300-†)Hcos(600+")dv“* u'sin(600—+")cos(600+ b)Sdo+BG 1I)/cos(600+ vJdv"— —sin(600-v Jdu— u'os(300-+")sin(600+)du“ u“in(600+b“)2 du—† BVIII) in(600- vn)duy.

ſerer erreerrerereererr iriae u'sin(600 d‿

(600+)sin(300-v)do*† BXII) ,in(300+ v)Od+

Teos(600+‿οdu ‿μς˙s(600+ 2du—. u cos(300-+)cos(600+)du— B6P cos(600+ du= fr gf t gu''in(300 de- uu cos(600-†e)sin(300-e)dot utlscos(300-b““)sin(300-†n)de BDu“in(300—†*0)de“ 1 — Scos(300+οd ν— u cos(600+ v0) cos(300+ον)dν‿νν os(300+)2 duu‿ cos(300 du. 2

— u¹ cos" dy u¹e sin cos deo— u¹ un¹ sin v cos v de+ B6r!) u“ cos v de—

— S sin v du † u’ sin ve du,— u sin u sin du'+ Bn) sin vdu+— a n

u cosvVdðννι u¹ u' sinv cos v" do un sin v cos /dv''— BORII)„„ cos' 2+ 6—

S sin vdu— u sinv sinw dan †̃ u“'sin"2 du“— BII) in"u.

—5 u cos(300-+ν)du uzsin(300—ℳ) cos(300+νdeꝰν‿ñßu'uns in(S00+ν)cos(300—+)Jdu+ T)u:os(300+)de 8 gin 3 u)Zdu arain(300-†u) du— u'in(600„)zin(30-")dn BOV) in(a00-4“)du“— 1= 1N Sf1.

6u cos(600+ b Dd— uu in(300 v.)cos(600:Jda†usin(600+v.)eo⸗600)Bdp— BTrr)e eos(600-Pe’)Zdu'h

ain(600- Jdu— u'sin(300-+)sin(60+ b“ Ddu †u sin(600+ b“ Dedun. BXIV) in(600-Pv“)du“.

bu eos(600 hv Mu in(600.Kv)cos(300-)Bd ru/cus(300à)cos(S00)d.B7Dcos(600-.“)de— 23 63 3 Gain G00-u)durusin S0O0-)rdu—ulcos(300..)sin(600-)d"— BXn)sin 600 A)due êä 1 afn

gu ain 300 de Tuu ain600+r”)sin(a00⸗u)Zd’ uweos(300—)Zein(300ℳv“ Dur r)asin(300-Jdur-—

scosa0 A= Mdu gin(30 Hreo0o r) Akoe30 er)re=BrYI)cds(30o-.s.) ue