VARIATORVM. 163 



quibns in ^eQunlontpdz-bir^dsziztuhi ruiTedis, orietur 



pdz-^^—^—znaahU , m qiia p datiir per z et conftan- 



tcs , et Tfi per / , nam a et /; funt conftantcs perinde ac 

 exponens 2« , fed aequatioita generaliter fped:ata irre- 

 ducibilis cft. Sedfi p fit conftans, fiet dzzz ^'IJ-^— 



mp—a hl 9 

 - i„_^.,^ ^ /• aalmdl aalldl 



tdeoque ^__/ ^,-^ , , ii.,__ ^.— — .^ ^^. 



m^-a fcZ ^^"^V -nJ—mp-a hl , ^»- ^"- 



gulusAGB,zi:/_^'ii— -- .. ^ ,. ^. 



m^«-a'fcz^\. Verum fi direaioncs 



grauium parallelae fint , et in figura 12 fiant abfciffa Fig-XIl 



""^ mp^a^V"^^ etapplicata EBzizf^^^^^^n^n ^ 

 pundum B erit in Brachiftochrona quaefita. 



Atque hoc efl problema quod Doclifr. nofter Eu" 

 Jerus Geometris propofuit in Adis Erudit. 



Std fi fmt te^/— --^4- r , et z^— VfoH-^l!!^ 



r y(i_nj 7 «-1-2 5 



curua conftrui poteft : Fiat enim angulus AGBii: F/^-^///. 



«4-2 



Jf-u:r2 ^ ) et capiatur AM (=zs) zz: 



U -+-fa-f-2)cjxV(i-/Z. 



a-H2 



"cHTr^-^-^ — ? «rit pundlum B in Brachflochrona, 



modo cL non fit =-2 . Polfunt inueniri adhuc aliae le - 

 ges potcntiarum p ad id yt Brachiftochrona in medio 

 refiftenti defcribenda , concelTis quadraturis , conftrui 

 poflit. Sed his iam non vacat diutius immorari. 



X 2 27. 



