CURUILINEO CORPORVM &c: 14.1, 



§. 8. TrobUim 2. D.it;i ciiru.i OAB iniienire Fig. a, 

 altcr;im BCP j comnuine habcntem jnitiiim cum 

 priori ct tiilcm , vt, vbicuni]iic dcfccndcrc incipiat 

 in curu;i OABj vcluti in pundo A, ct moucri pcr- 

 git doucc tota vclocitas exhiuifla fuerit puta vsquc 

 in pundumC, fint fempcr arcus in vtraquc curua de- 

 fcripti nempc BA ct BC acquiles. 



So/utio. Ducatur BN vcrticalis , defcendat 

 corpus ex A totoque fuo afccnfu pcrueniat in C 

 dcin cogitcmus defcendcrc cx puncfto priori infinite 

 propinquo <-/, ficquc attingere pnnclum c; agantur 

 <2M, AL, CH et d horizontalcs, atquc AZ» et Cd 

 verticales, dicaturBAzirr, An—ds, BL—x,hM—dxy 

 J5Cr=.f, Crzrr/.f, BH— j, H\—dy; erit per VIl. 

 aequationem in paragrapho fecundo expofuam 

 ^ns-lo^X, vcU+-:=:i;, xd dy—c-^^^^dx. q.E.I. 

 ■ §. 9. Coro/l: I. Sit curua OAB rc(fla verti- 

 calis, ita vt fit x—s, igitur erit dj—c—^^^^dSf vel 

 intcgrando v~i—o"~'^'^\ Si HC dicatur —z^ crit 



acquatio inter coordinatas BH(j) et HCfc;) talis 

 dz-^^^f^^-p^dj : ponatur i-^vj—Vi-rr, et 



crit A.f}dz—^^^-:^-dr-{-Ml-\-Mz. Ergo zzz: 



* — 8n "^ > 'f^ ^'^ curua defiderata hoc 



in cjfu per logarithmos conftrui polfit. Verum Pa- 

 tcr meus, cui haec aliquando perfcripfi, obfcruauit, 

 h.\nc curuam ipfam cnTc tradoriam Hngcfiii', id quod 

 i\. tim apparct cx duabus fnpcrioribus acquationibus 



</)— t— 'V'V/j ct j— — — • hinc enim dcduci- 



i> 3 tur 



