(170) === 



xz=.{^a. — Ja')a)'r=: — ja(aa — i)a)' ct 



j— i-j-ia»oj'-f-(5a« — Ja^wS 

 \bi patct, pro abfciir;! .v primum terminum fpontc cuanuiffc, 

 idcoquc proccdi oportuifle ad porcliitcm oj^j pro applicata au- 

 tcm ;' fuffcciHe iu potcltarc oj* iubllitiHc , ita vt llatui poilit 

 j — I — i a^ («j* ct A- ~ — ^ a (a a — i ) aj\ Hinc crgo accu- 

 ratius, quam antc fccimus, dcducitur forc '■ ^~' '' ■ ~ _ !ii! — : 



^ " ' JC' g(ao — I)»' 



inirium fcilicct luiius curuac conucniet cum parabola cubicali 



fecunda, cuius aurcm paranictcr crit ' — — , . ^'crum hacc 



corrC(flio non influir in fupcriorcm dctcrminationcm, cum liif- 

 ficiat noffc, huius curuac radium olluli in initio cde infinite 

 paruum ct ipfim curuam rctro vcrgcrc. 



§. 47. At vcro pro pracfcnti cafu, quo |3 r 2 a, pro- 

 dibit ablcilia 



Tab II. X =. — aw — 5a(2aa — i)w', 



*^'fi- 7- idcoquc fatis propc .v — — aw; at vcro applicata rcpcrierur 

 j ~ I — 5aa(aa — i)w*. 

 Quarc fi initio fucrit ccntrum C in punc^o F , fumto in rc(fla 

 axi O D parallcia intcruallo F y = a oj, co rcpracfcntabitur no- 

 ftra abfcifUi minima in plagam contrariam vcrfa , applicata au- 

 tcm j, ob aa>i, aliquantillo minor crit quam i, ficquc cur- 

 vac puniftum infra y in t: cadct, intcruallo y -n infinitics mi- 

 norc quam Ty; vndc bacc curua porro pcr puncflum ;;; fcn- 

 fim ftnfimquc dcfccndct, ita vr in iiiitio V radius ofculi fiicrit 

 infinite magnu'^ ct curuarura nulla. Motus crgo primus ccntri 

 grauirati>, rctro crat dircdus cum cclcritatc finita, vti dcinccps 

 vidcbimus. 



§. 4S. Tnquiramus minc ctiam in nafuram Iniius cur- 

 Tae iii infinitum porrc(ftac , atquc rctcnta in calculo iittcra (3 



primo 



