' "/"^*. =z A fin. " , idcoqiic w r a fin. ' v^*^-" • Ex aeqnatio- 

 nc anrem differcnriali patet , tabniam ad qnietem rcdigi llu 

 ficri ^~o, vbi fit w — a; tum anrcm erit tempus 



IToc antcm tcmpore abfolnitnr dimidia ofcillatio , yndc tcmpus 

 intcgrac ofcillationis prodit ~ tt ^ ]/^--^-^. 



§. 30. Comparcmns nnnc iflud tempns cninsqne os- 

 cillationis cnm eo qnod in prima hypothefi inncnimns , qnod 

 cum fuidct irkV ^i-i — — , patet praclens tempns ad prae- 



' tig a {i -r-Jm. i^) > i r i r 



cedcns fc habcrc vt i : '■ — , hoc eft vt i/ (i -i-fin.^-) : i, 



vndc patct pracfcnti caiu olcillationes fore tardiorcs qnam in 

 hypotjicfi pracccdcnrc, fi qnidcm angnlns ^ finnilqnc irfi ta- 

 bnla vrrinqnc fncric cadcm. Hinc igirur per cxpcrin cnra ex- 

 plorari po.erit , vtra harum hypothcfium vcritati fit conicn- 

 tanca. 



§. 31. Tribnamus igitur vt ante tabnlae crafTticm vni- 

 formcm ~ ^, eritque cins altitudo bzmza ct ^ = 51"^, n.a- 

 ncnte (cm.i-latitndine = f. His pofitis pro hypothefi prima 

 crit tcmpns vnins ofcillationis ~ tt V ^"[, "-^jm. e^ ) "> P'" P<>'^c- 

 riorc vcro hypothcfi hoc tempus erit := -n \/ llSSLi. . Pona- 

 mus iam altitudincm tabnlac r^fl aequalem cf^c 3^, fiue trienti 

 altitudinis ^, per quam grauia vno minnto (ecnndo dclabun- 

 tur, ac pro hypothcfi prima crit tcmpns vnius oCcillationis 



pro poRcriorc antcm hypothcfi crit hoc tcmpus 



— 3 TT /cof <^ = I, 04.71975 -/cof. ^. 

 Qnod fi crgo pio ilatu acqnilibrii fncrit ^^45°, terrpus vnins 



oicil- 



