('53) 



fiet integrando , ob 5 > e , 



; Arc. cot. t V 



v 



y — ? 



Y{SS — £ £ ) 



Eft autem 5^ — e e — i , et 

 unde habemus 



V ~ '2. Arc. cot. 



I -hjm p 



Eodem prorfus modo repericur 



«nzaArc. cot.^^_^^^^p-, 



ideoqve 



v-+-«=2Arc.cot.:p^jf-=— 2Arc.tang.(dC0t^). 



Hinc tandem habemus 



j — — |i Arc. tang. ( J cot (3) -i- Conft. 



Conftans adiicienda dependet a puncto, ubi arcus i inci- 

 pit. Qvodfi ab Aeqvatorc incipiamus , formula noftra cafu 

 (3 = evanefcere debet , unde fit Conftans =-i--|^90° vel 

 ^Tt. Sin autem arcus a polo computetur, formula cafu prpo' 



O 



evanefcere debet , unde ob cot (3 izi o , etiara Conftans rz: o. 

 Eft itaqve arcus 



PMr— ^^ .Arc.tang.[cot|3/(i+i(;;r-i))]. 



y [i-+-i(//r— i;] 



Arcus autem 



BMr- ^ ['^-Arc.tang.(cotp/(n-i(»/=-i)))] ; 



y [ I -+- i ( wf — I j ] 



qvae autem exprefllo non vera eft , nifi ellipfeos eccentrici- 



tas tam exigua fit ac in cafu qvem hic contemplamur. Se- 



qveretur e noftra formula , integrum qvadrantem P B effe 



Noua A^a Acad. Imp, Sc, T. Vil, V = 



