[457.1intra globos Ofeillari debent, ut Ofeillationes omnes evadant 1o-chronz. Nam gravitas(ut in Libro tertio docebitur) decre-feit in progreffü a fuperficie Terre, furfum quidem in duplicataratione diftantiarum a centro ejus, deorfum vero in ratione fim-pliciProp. LIIL Prob. XXXV.
Conceflis figurarum curwilinearum Quadraturis, invenire Dires GUi-bus corpora in datis curzis lineis Ofcillationes femper Tfochronasperagent,
Olcilletur cor-pus Tin curvaquavis linea ST-
RO_ ‚cujus axis
fit OR tranfiens
per virium cen-trum C. Agatur
TX quz curvam
illam in corporis
„JIoco quovis T
contingat, ing;
hac Tangente T-
X capiatur TT
axqualis arcui T-
R. Nam longitu-
do arcus illiusex
figurarum Qua-draturis per Methodos vulgares innotefeit. De pundto Y educa-tur re&a TZ Tangenti perpendicularis.. Agatur CT perpendi-culari illi occurrens in Z,&erit vis centripeta proportionalis rec-
tw 1Z. Q.E.1.
Nam fi vis, qua corpus trahitur de T verfus C, exponatur perredtam TZ captam ipli proportionalem, refolvetur hac in vires
TT,