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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 674, page id 851387705:0694
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DeCalcun at acrs.
quor sunc Ansulu rel Latera: nempe, Ei lacerum numerus par sic: cum d lingu-
lis angulis ad angulum oppolitum, cum a medio saceris cujulris ad medium late-
ris oppositi, ducentur hujutmodi diamerri; sin lacerum numerus Ic impar, 2 g00
vis angulo ad oppolicum Lacus: in Circulo, _ Ellipli, diametri numero intiniex:
In singulis his tiguris (aliisque quibulennque quae plures habent diametros ut
sune irregulares multae,) in duarum quarumvis concurtu, es Centrum Gravitatis.
Per 26 C,a
In figuris solidis, quae Axem habene, per Planorum Parallelorum omnium C’en-
era Graritaris cranseunrem; (quales sunc Prilma, Cylindrus, Pyramis, Conus, Py
ramidocides, Conoeices, Sphaera, Sphaerocides, aliaque muIIIX;) idem similiter
oltenditur. Ouippe Plana omnia per hos Ares (sire erectos Cire inclinatos ad or-
dinacim applicata Plana) sunc elaria squilibrii; (uc qua, cum lingula P’arallela
Plana per quorum cenera graviraris eranseune, cum proprerea quod ex his confla-
cur solidum, in parres aequiponderances divictune;) Adeoque ipti AReS, AXes A
quilibriis Ex propterea, in illis Cencrum Graricaris. Dec 15 C ap. 4
Cumgiie sint in Parallelepipedo, Sphaera, Sphaeroeide, (aliilque multis fiouris
(0) ielis.   esc Plures, Axes: in. cnarum quarumvis concurlu, elt Cenirum
Cap. V
GravitarIS Der 26 C aP. 4
Cocollarium ulcimum; facis per se patet ex hac et P r0B. 1
AI. Linea lecla, LalalleCatua Pxilmaris, Crlindri, Triansuli, Para.
volae, Parabolociuu Coplementi Parabola, Parabolocidilre; Pr.
ramidis, Coni Conocideos Parabolici, rel Parabolocidici; et cujus.
cunque demum Aicurx ex parallelis rectis planiire secundum seriem
infinitam (ab o inchoatam, ex dato; terminatam; Primanorum, Se-
cundanorum, Subsecundanorum, (aliorumre in deF. F. Cap. hujus
detinitorum,) constantis:
Maenitudo, est ad magnitudinem Paralleloorammi, vel, Colidi Pris-
matici, super aequali Bale, xque alti; ut r ad indicem Seriei unitate
auctum: FF Centrum Gravitatis in ea à vertice distantia qua Diame-
trum vel arem ita dividie, ut pars ad Basim, sit ad partem quae est ad
verricem; ut F ad Indicem Seriei Dnitate auctum: Vel (quod codem
recidic) in ea qua cAt ad Basis distantiam; ue Index ille Dnitate auctus,
2d eundem Binario auctum.
HIOC Cst; ut pars aet Basio, ad partem guae est ad verticem; sit in Li-
nea Recta, Paralleloorammo, Prismate, e Cxlindro, (intelligendo
verticem in utroris extremo,) ut r ad F.
In Friangulo, Lupertcie crecti Coni vel Prramidis (dempta bale,) et
Conoeide (relerramidocide) Parabolico; ut F adt 2.
In Complemento Parabolae, Prramide, vel Cono; ut F ad 3.
in Complemento Parabo loeidis Cubici, ut + ad 4: Biquadrariei; ut F
2d5: c.
In Parabola; uE L ad LZ; Sives, 1E2 ad 3.
In Paraboloeide Cubicali; ut L ad LS; sive ut 3 ad 4: in Biquadratico;
uE s adt F2, Vel ut4 2d5. 8C.
Sire, (quod eodem recictic:) Distancia Concri Craritatis à Plano per
Verricem basi parallelo, ad distantiam Balis ab codem Plano: (Ouod
ex in Semicono, Semicylindro, Semi- Parabola, etc. aut qua horum
instar sune; non minus ralet, acque in figuris incegris:) est,
In Linea Recta, Parallelogrammo, Prismato, ret Crlindro; (facto
Vertice uE PPIMS :) Ut 1 ad2
In Friangulo, ee Conoeice (vel Prramidoeide) Parabolico; vt 2 ad 3.