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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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MMtipepiII
+42
PTITLOSODHTME NATVRALIS
DeMoro Globi inverse, ee subduplicata ratione Vis absolucx Globi eciam
inverse. 2. P. I.
Corol. 2. Flinc etiam Oscillantium, Cadencium ex Rerolvencium
corporum tempora poluneincer se conterri. PTam (I ROEX, qu2 Cy
elois intra globum describitur, diameter consticuatur aequalis semi-
dliametro globi, Crelois eradet Linea recta per centrum globi tran-
sens. ec Oscillatio jam erit descensus ee sublequens ascensus in hac
recta. Unde datur tum tempus descensus de loco quoris ad
centrum, tum tempus huic aequale quo corpus uniformiter cir-
ea centrum globi ad distantiam quamris revolvendo arcum qua-
drantalem deseribit. FK enim hoc tempus (per Casum secun-
dum) ad cempus semioscillationis in Creloide quavis  RS ut
+ ad y t
AC
Corol. 2. Flinc etiam consectantur quae Wrennus et Tucenius de
Creloide vulgari adinvenerunt. Nam si Globi diameter augeatur
in infinitum: mutabitur ejus superticies sphaerica in planum, Vilque
centripeta asec unitormiter secundum lincas huic plano perpendi-
culares, ex Crelois nostra abibit in Creloidem vulgi. IHo autem
in casu lonsitudo arcus Cyeloidis, inter planum illud de punctum
describens, aequalis eradet quadruplicato linui verlo dimidii arcus
Rotae inter idem planum ex punctum describens; ut invenit Wren-
nus: EF Pendulum incer duas ejusmodi Creloides in simili e x
quali Creloide cemporibus aequalibus Oscillabitur, ut demonstravit
Fusenius. Sed ex Descensus grarium, tempore Oscillationis unius,
is erit quem luxenius indicarit.
Aptantur autem Propositiones a nobis demonstratae ad veram
constitutionem Terrae, quatenus Rocx cundo in ejus circulis maxi-
mis describunt motu Clarorum, perimetris luis intixorum, Creloi
des extra globum; ex Pendula inferius in Fodinis ec carernis Perrae
suspensa, in Crcloidibus inera slobos Oscillari debent, uc Oscilla-
tiones omnes cradane Tlochronx. Nam Graritas (ut in Libro
tertio docebitur) decrescie in proerestu a superticie Perrx, sur-
Cum quidem in duplicata ratione dictantiarum a centro ejus, de
ortum vero in ralione cimplici.
1
PROPO.
NIIGIEHIIIRSHIIIMSHNHIBBKS IHIBCHHERSHTMBRSNHTIEMEMEBEMEMIAEEMEMMM
PORPORVH