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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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PFOD. XXTII. DeCalcuto Centri Cravitaris.
26.
ter datum etiam Tnelinationis Planorum angulum P X B) Fongindinem reclas L1. 103
quae arcus Cenero pravicatis insiltit, rectis in superticie curra Cytindri parallela
Datur etiam L per PEOP. LX. hujus) superticialis ungule C. B A BD area seu MaB.
nitudo.
Exsimiliter; proxter datum areus B A Centrum gravitatis; Ongulaque Aciem
E A (quae sive tic ipli X Z. parallela, sire secus, perinde cst;) Angulumque In.
clinationis C. F B: Dabitur Cuperficialis noula C A B magnitudo.
FE, Timili proceltu, dabitur magnicudo superticialis Ingula D AS.
Datur erso, expolitae Figurae CAD = C BASD CAB = D AS magnim
d0. (Et Timilirer, mucaris mucandis, in expolitis Fixuris illiusmodi aliis. ) Duod
oltendendum erat.
(Idemque paricer obcinebic, etiamti curra B A S non sr arcus circularis, sed
alia quaeris curra, dummodo (uc supra dictum cst) cum ipsius, cum parcium sui
B A, AS, habeantur lonsicudines e Centra graricaris. )
Porro; quo habeacur expolicxe hourx CiA D (juxta cenorem 6W. PrOP. 13.
hujus) Centrum graritatis; resolvenda erir ea, non cancum in Ongulas C B ASD,
CiAB, D AS; sed e ha porro ica lunt resolvendx, ut per luperticies Colindra-
ceas rectansulas, atque ejulmodi ungutas quae acies habeant in diametro. Cireuti
(addicas demprasque prout res poltulareric,) exhiberi DossinE. ciu c de as
Puta; cum Onsula CB ASD acies XZ. non lu in, diamerro cireuli B AS
(sed exira illam in eodem plano:) ducta incellisatur in secante Plano Ci si D
ver L. punctum in Axe Cstindri, recta L, F, iB E X Z Parallelas; quae curva CD
Occurrat in HI: Atque, per HI, circulus CHIK, centra L. descripcis, balibus Cy-
livdri parallelus. Adeoque tiene superticiales Ongulae C. HG, GH K, communem
aciem habences L. HI in circuli Diametro. Duarum si auteratur illa, ec haec addlatur,
superticiei Cylindraceae rectansulae CB ASK; habetur Cngula C B ASD. Ha-
bitis itaque illarum cum Maonicudinibus, cum Cencris gravicatis (nempe Onoula-
rum CHC, DHK, Der SW. prOP. 13. e Cylincraceae G B AS H per DC, D, hu
jus;) habebitur etiam (Per PrOP. 27. cap. praeced.) Centrum craricatis ipsiuo
CBASD =GBASR F DHR= CiLG
Similicer oltendetur (muracis murandis) Ongulam D A S componi ex Cxlin.
dracea AM NS, addira Ingula DON, dempra AOM, quarum Ongularum
communis acies OP cst in diameero Circuli. Flabebitur itaque Cencrum gravira-
tis iptius D AS = AM NS F DON = AO MI.
Tcem, Ongulam C AB haberis dempris, ex nouta G O F, tum Vngula AOR,
quarum communis acies O V est in circuli diametro,) tum Cylindracea B AR L.
Adeoque habebitur Cenerum sravicatis iptuS C AP = C. D L AOR = BARF.
Tlahebitur itaque (per prop. 27. Cap. praeced.) Centrum gravitatis AgUrX exPO-
sa CAD = CBASD - DAS =CAB. C FE timilicer in aliis tiguris, mutacis
mucanes.) Quod erac ostendendum.  ili ciist D E. E diresttiC 11bcMHS. 
REKPK
Non
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