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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 648, page id 851387705:0668
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DeCentro Cravitatis.
Fix. 87. P Tam, Pance recta ut XS, 3d Horirontem pervendiculari (adeoque iptius
La punctis omnibus eodem hui manencibus;) quodeunque, extrahanc, punctum
noreatur, ut A, BeriBHeriam deleribet, ut A a CIrCa ZS VE AXem (per praeced.)
adeoque in TTorizoncali plano: (Cum enim ZS perpendicularis (F, cum ad pla
num circuti, ipore cujus Axis est; tum ad Florizontem, ex lxpotheli; exit circuli
planuin illud Horironcale; Per L4. F. L. XI.) In quo quidem plano cum nullus sI
Descensus, aut Praeponderatio; nec Aer, ob fravicarem, motus. (per 4, d, 23, Cap.
2.) Cumque de ominibus praris plnctis permde contter, conttar de Gravi 1010;
Quod eral propotitum.
Si recta quaris, ut AXe MOcS, ad FTorironem perpendiculari Pucti-
neatur erare; in nullam partem graritate sua praeponderabit; A
deoque, sibi sic permictum non morebicur.
L
actineri dicecur Crare, si duotnis latcem ipsius punctis Fultineatut
pe sic cora recta eodem sicu recinebirur; ut ad prop. praeced. octentum ett.
LLc
Si Crare recta quaris, ut motus AC, non ad Horixontem perpendi
culari, sustineatur; sitgue in Flalto per Axem Notus incedente con-
sc permictum, non morebitur. umi
Sin extra illud Planum constitutum sit; ad Planum illud, infra motus
DEF ZSMOLS ATem (vel Forironti paraL.
Jelum, vel uccunque oblignum) incedat
Planum Forizonei rectum ZS A, in quo in-
celligatur consticucum Crare. Fric quodcun-
que Graris punctum, vel in ip(O AXC, UEMI;
vel intra, ut B; vel Cupra AXeM, UE A
DepunctoMI, manitestum cst, ItantC Z S,
ipsum Micem Ctarc; urpore quod est in ipsa
recta.
DeB, constat; Cum enim (pex X hujus)
non Doltic B moveri, Ptance Z S, Gu peripheriam rorando describae, ue B N A
ad cujus planum rectus elt X S AAB, Cujus quidem Peripherix punctum intinum
CA iptum B (ver 2O Cap. 2.) Inde non morehitur sponte ua: OUiDDC GTave (DeK
deF. Graritaris) non nili Vescensus erso, graritare lua morebitur.
Idem denique, de A constac: OuipBe Cum nOn pOsTit A moreri (Per L hujus)
nili peripheriam, uE A NB, circq ZS ut axem describendo; cujus (Per 20 C ap
2.) cumi supremum punctum est ixsum A, cum Descensus ucrinque paricer Decliris;
in neutam parcem Feretur. per 8, x7 C ap. 2.
Cumque hoc conller de singulis Craris punctis, sire intra, sre supra, sive in ipsee
AxC; constat de Crari coro, sic consticuto, in neurram parcem praeponderare;
adeoque necmorum iri. Ouod erat propoticum.
Sin extra hoc planum constiturum sic Cirare: iplius puncta Fingula, guxe extra
planum TunC, UE NV; incermedia crunt, in suis respectire peripheriis, incer punctum
supremum, ut A, e intimum ut B (PeF 20 C ap. 2.) Adeoque deortum ad B fere.
tUT, PET 2, 8, Cap. 2. Quod exac ulrimo demonstrandum.
Cicutum, ad FTorizontem recl. (quod Perpendiculare planum per
Aem, dicimus;) in neutram pallem praeponderabit; Adeaque sibi
EC
PROP
LLaeM TCTCCII.