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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)
# Folio 658, page id 851387705:0678
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utro Ciravitatis.
L e20 22
Cusasque Craris, Centrun Craricatis unicum eAt: Idque cum ut om-
num Arium AguIOTU; cum in Planorum squilibrii omnium
EAque omne per illud transiens Planum, Planum squilibrii; omnis-
que recta cransiens, Aquilibrit Axis.
THcellisacur AB Grare, puncto sui X Tustenm, ex F
puncto tixo libere dependens, in sicu quieris posicum;
HIoC elG ita dependens uE F ZS perpendientiim, sic AXis
A quilibrii; (Der (2 hujus.) In quo itaque perpendi
culo (per Praeced.) est Centrum Graricacis; AlIO autem
extra hoc perpendiculum, puncto fultentum Cirare, non,
in eo licu, quielcet; (per candem +2 hujus;) Adeoque
extra hoc perpendiculum, non est Cencrum Ciravitaris:
Nam liquod ellet, eo tultencum Cirare, criamnum in illo
Tiru quielceret, per L3 hujus.
Intelligatur deinde, Toluro vinculo in Z, alio lui exrra rectam PZS continua-
cam puncto ut Z Tultentum, ex puncto tixo ut C libere dependens, guiescere
Adeoque (per ZZ hujus) in cum sirum redisi pravicace sua, uc Axis A quilibru
per L cransiens, (est urique aliquis, per FX hujus,) sic in C X perpendiculo, puta
CX P. Octendetur, ut prius, cum in CX P (intinita recta) centrum Grarica-
tis elle; tum, extra hanc non elte.
Cum itaque oltentum sicu tum in rectarum (intinitarum) XS, Y F, utraque
tum, non extra ucramris, esse Centrum Graritaris; cumque illae non nis in uno
intersectionis puncto, ut C, communicent: unicunt erit Centrum Cravitatis, C.
EsF autem in AEguilibrii omni sire AXC sre Plano (per ZY _ T4 hujus) cen-
trum aliquod craricacis: Cum iiaque unicum esle, jamr oltentum lc; erie hoc
unum in omnium concur(u.
Duodque omnis per illud trantiens recta lic Axis Rquilibrii, omneque Planum
per illud crantiens, sequilibrii Planum: ex detinicionibus conttat.
SCHOLTV M
Emonttrarimus ilaque (_ credo, omnium primi) quod Postulare solent
alii; cum Dari, in quoris crari, centrum, aliquod Craricaris, cum illud
Unicum esse.
L AC D P. XVL.
Manente, in eadem a Ferrae Centro alticudine, Centro Cravitatis:
neque Descendere censendum est Crare, neque ACcendere.
Pantundem vero vel Ascendere vel Descendere censendum est Crare,
quantum Ascendit, vel Descendit Centrum Craricatis.
Adeoque (quoniam hoc in aliis Craris moribus perinde obtinet) per-
inde Ponderando ralet Crare urcunque sicum, atque l in illo puncto
torum esse incelligeretur, ubi est iplius Centrum Craritatis.
Fig. 90, Y) Emonstratur eodem modo, mucacis mucandis, age, B Et 9 Cap. 3.
Nam, IMMOTO C CENErO GraVICAEIS; VECUnquE rOTEtuT Crave, (neque enim
alicer, quam rorando moreri porest, per LhujuS) Puca ut iplus recta ACB in
licum a C B deveniat: Ouoniam in gnocunque lini adeoque in toro proxrestu
oppotica sesmenta, plano quovis ad llorizoncem recto nc PD divisa, invicem
aequiponderant; (Per deF. Cencri Cravitaris; ) FAque ( propter rotationem) unius
Descentus cum oppol Ascentu neceltario conjunctus; turic ascentus Descentui
aequi
Concursu.
10O.