Meditatio in Mxpenrnenfa expTosiSne tormentorum nuper instituta. 801 



erit : At = 125 iV— 19468 log. (Vyj/ -h 1 — y). 



., At -+- 19468 log. {Vyy -\- \ - y) SAt-^ 155746 log. {Vyy-^-i — y) 

 ent ergo: A = ^^^- ^ ~^ — 



Ex qua aequatione tentando y erui debebit, tamdiu alios atque alios substituendo valores loco y donec resultet 

 aequalitas. '10 = K 19 1--.« ,(K)OT=«t ,48 => ,c££ = o ogT; )fe3 



.0e08dl=iK8 J-J £r0r2 = iK jha 



£xperiiiientuiii 1« 



^ Factum d.%i. Aug. Anno 1727. ogio i%a 



jyi,M,( ,! G|§bf€,|^mtf dJ3meti:i.22;^,iScri^)E|_^^^ 



iist effro': ^'^^ '*£^''^='^ ^"^c^^M,''^' ^''fL^iVl^f^ '^W^*riim'^ 'iy^in9||d_X)^i!fe)noi obom ood ,'e2«£0 swo 



«rit ergo: .4 = 618, ergo ^« = 27816 et 8.4f =222530. 



'.: : ' ^81.2 :rr: ! - '^'" " . ^ 



-. . ^22530-1- ^ 55746 log. (Vyy -t- 1 _ «) 



?onatur y = 2,70, erit Vytj -+• l = 2,879, ergo Vyy -h 1 — y = 0,179, consequenter log. {Vyyrihi^i >r'. y).^!Ttti 0,7471 



-, ^„41 69683 , .•••*?«• 106173 „ . • jlu^ . -J i ^>»^ 



t iV=69— = TTv^ ' sed ex aequatione mvenitur iV= .^j.f. • Jirgo y major assumi d^b^, sif j/±:i:3,00. 



Til Vyi/ H- 1 = 3,162. Ergo Vyy -+- 1 — 1/=0,162, unde log. ejus est — 0,790, unde prodit N= 99°, sit i/=4,00, 



Irit V^y-t- 1 = 4,123 et Vyy-h-l —t/ = 0,123, cujus log. est — .p,^J(^. Est ergo iV= 80,802, sed debebat 

 |,^.iV=75°58', sit y = 4,10, erit Vj^^::7.,Vij^,i9.,J!^,.cuj. log. = - ()^920|,_. |3|st^ ergo iy=79°12', sed 

 ebebat esse iV=76°18'. .aiinobaaoBiq vicq | uoa liJoJ I ahof 



Hoc continuando reperituf i/ = i,3l, hdc in ciisu ei&cW adniodum obtiiretur aequatio, uf ti^ hl' centesimis 

 Totnr. Et erit iV= 76° 56 ut invenialur altitudo ad quam corpus pertigit, erit: ;do os^iit 





! \J - 1 -^M^ •■^"» <>^T2g i -t- 8880 



!^_ - k/ ►"" — " ; In • '('i(r''>!ip'»i'ii«>,) 



I = y, adeoque e ^*"" = 19,5761 , ergo ~ 0,4342944 = 1,2915908, 

 -i''* ^*'^ ^ /i J«>t» iAniu ,CVO,0 = \f a*<s'i '111! ubfloujikdua \j oaol biup obiiBJii»! 



2100000.1,2915908 -^,„ . «i. - 



^ = —^342944— = ^^^^ P^^- ^**""- 



= 6245 ped. RhcD. \ 



I 



inc innotescit velocitafi initialis, seu altitudo ad quam eodem impetu in vacuo pervenisset, est enim: 



4jnc 4c(m — n)-»-3nJif 



* 4c(„i — n^Kiufcoq 11 msiiibuliifit hn miAoV^ o^ib jiii»y-i9q 



Ltam^, A", altitudine in- vacuo describenda, erit ergoOOVWOS = *» oaia ^~W = fiSdCOO.O Jao nb(I 



■ ' " (it —• m)a|k 



«s) oipo ..bnuofw .liinim ^5rl=20W.1857,6r sciHii). =39004 ped. Rhfenaril"'»^^» «^^> ^»^ »i'»« ^^ ooobv ni 



.Ihiinoz .tnnim SiKf Jzf) auKnooaob 



fipus quod globus in ascensu consumit est aequale, ==. gggify ^^ (m -■ h) ) .'^'"'i'^^^""*!'; '^ ^^-m^ wT?f T^'^^ ®' 

 ^te;l5) = 15| minut. secund. Tempus ergo descensus est 29^ minut. seciind. ^t^duo differentia inter t.cmpus 

 aji^nsus et descensus sit 14 minut. secund. i't< < »1 ni .dtoJ 8 obnuoesi ni ,flJoJ Ot kiaovluq 



L. Ealeri Op. pMthuma T. II. lOl 



