F L V I D O R V M. *57 



ac (Jcniqne 'J f';4 -','j ft^(p{i ^tcor.^p-hyrm.^p) 

 ::^ 5^" (|>_l_grin.(|)-Ycor.(|)). Qiiare ciim \alor 

 ipfius p idcm prodire dcbeat fiue ponatur cp — o 

 fiue (P — 2-n, pcrueuimus ad hanc acquationem ; 



irr ad u 



aTra^a-^7raY«tt — — 4f- cr o 



zadu , du 



fcu dt — ; — — : icu ff.gdt =r - — —yTl. 



33. Ilic ergo primum obferuo , fi fucrit 

 •yrro, fcu amplitudo >"r— .-^^^tb/TJ » fore vt aate 

 pro tubo aequaliter vb'que amplo u — ogt; boc 

 igitur euenit U in acqualibus a puncfto A diftantiis 

 tam lupra diamctrum AB qu;im infra amplitudo 

 fturit eadem , fiue in A amplitudo fit m-;.xima 

 liue in B. Cum igitur ob quantitatem S nul a 

 niutario in motu oriatur , nifi quatenus celeritas 

 V z: Tir^jr^fi-H^cof^H-vfin Cp) ab ea pendet, 

 dum celeritas media u eadem manet^ ponam.us &i:o, 

 \t fit rr — ,_^,y(,~j!; ac fi y habeat valorcm po- 

 fitiuum , ampbtudo tubi in loco fummo C fit mi- 

 nima rz ;-^^ in imo vero D maxima ,Zy; at contra 

 fi Y valorem habeat negaiiuum puta y — — '5' tubi 

 amplitudo in C fit maxima ;-zrs i'i D vero mi- 

 nima =r f_^-y. Perfpicuum eft autem hos duos ca- 

 fus probe a fj inuicem diftingui oportere , cum ac- 

 quationis inucntae integratio priori cafu per lo2;a- 

 Tom.Xl.Nou.Comm. Kk rithmos. 



