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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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DeCentro Cravitatis.
staritum puncta, incellivenda line in eodem ad invicem siul permanere. OuivDe
mota necunque Crabis parte aliqua, vel aliguoE parcibus, Ila Tamen ut earum vel
lingularum vel limul omnium Centrum Craritaris maneat uc prius litum; perinde
est, ponderationem quod spectatu atque si omnino permantistent in eodem licu pun-
cta lingula. Adeoque, quod hactenus demonttracum est, supponendo singula 10.
cius puncta licum situm ad invicem (acque ad motus centrum vel aXCM) recinere:
Posthac pro demonttraco habehitur, si saltem partium C’ entra grarIratis, maneant
ne prius lica; aut eriam commune omnium Centrum Graritaris limiliter adt mOEuS
Centrum vel Axem Ctum. Puta, Si AC B Grare, (moris urcunque parcibus, ma-
nencibus partium centris graritaris, in licum a CB perreniat; perinde ommino pon-
derabit. Similiter; Rutomari roris quorliber urcungue circa lUa CenEra mOTIS, ma-
nence communi corius cencro graricaris in eodem (rel aequipollente) situ, Manet
eadem corius Ponderatio.
P RO P. XV
Si Centrum Craricatis sit in eodem ad terrae Centrum Perpendiculo
cum Centro motus: sibi permictum Grare non morebitur.
Sin extra Perpendiculum constituatur; ad Perpendiculum, intra Cen-
trum motus, fereeur: Idque (nihi alias impeditum) in Plano per
centrum MTocus, centrum Craritaris, et Contrum Terra transcunte.
Ouodque de Perpendieulo dictum ett, Perpenellenti Succedaneo ac
commodabitur in oblique decliri Plano.
Fis. 103 C Eguic ex 20 Cap. 3. Nam Centrum Cravicatis, Talcem Aguilibrii Centrum
DMt; (per eorum detiniciones:) Nempe, s recta quaevis per Cinrum Gravica
eis, pro Libra cenleatur.
Vel (hc ea) sic oltenditur,
elt crssoune sii
Pata; Si Centrum Ctravicatis SIL in M ceniro motus; hoc manence, non descen-
det Crare; per praeced. Adeoque a Graritate non movebitur.
Si sic in perpendiculo intra centrum mOtIS, ut in P: Cenirum Craricatis, C2-
deoque e Cocare, per praeced.) jam est in situ roracionisintimo, (per 20 C ap. 2.
Adeoquenon, ob craricarem, morebitut.
Si lit in Perpehdiculo supra centrum motus, uc S; adeoque in puncto supre.
mo; (per 20 Cap. 2.) In qualcunque partes rocetur, aequaliter descenturum elt,
(Propiet aequalem quaquavertum decliritacem,) cum Oentrum Craricaris, cum
(per Praced.) iptum Crare. Adeoque (per 8 C ap. 2.) non morebitur.
Sin extra perpendiculum sE, ue in Cc: deortum ad P Feretur, per areum C P,
in M CiP plano perpendiculari lirum, ( ut qui omnium, in superticie sphaerica ro-
carionem determinance, descensus est maxime dectivis,) per 24 C ap. 2. Oux de-
monstranda erant
Fademque, in oblique dectivi plano, de perpendiculi Succedaneo, smiliter octen-
dentur. Pura; si luper declive planum impeneerabile, volvendum ellet Cgrare
Circa C cenerum MOtIS; Tuo cencro Crravitatis peripheriam in illo plano deseri-
bens BP C. Ouippe, cum propter duritiem subjecti plani aur Fortan Axis circa
quem roretur determinaram positionem, similemre causam aliam, in plano perven.
diculuri descendere non postic; quam camen porest maxime decliri terecur.
Ld D.
PROP. AVLL
Ad datum mocus Axem, (rel similitee inclinatum,) ca ratione ponde
TANE COMPATATA GTaVIA; (vel idem, Crare pro rario situ:) quxe ex
rationibus Ponderum, et Distamciarum Centrorum Craritatis a per-
pendiculari per Arem Plano, componitur.
Adeoque: Si Distancix sinc aequales; in ratione Ponderum: Si Pon
dera sint aequalia; in ratione Distantiarum: Si rel utraque SinE XqUZ-
lias vel sint reciPrOcC proporrionalia: Aquiponderant: Ouorum
Vero