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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 919, page id 851387705:0939
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Pcop. I. Decalculocen raais.
inidem habens Ao, (seu plani momencum respectu A0,) ett AB in C; hoc elt FiC. 210,
ABC.
Hlabetur iraque, quae plano interminato, magniendinis intinicae, A SFTHA, insistit
Ongula (aciem habens A5) magnicudinis Finica; nempe Solido 2 B (Paralleli-
Dipedo Rectansulo) aequalis. Lijuldemque Plani (masnicudinis intinitae) quod
convertione circa Rs deleribitur, Solidum Magnicudinis l’iniex: Guippe, ad un
sulam illam, ut (P ad R, hoc CA, uC) Circuli Peripheria ad ejuldem Readium:
lDer PrOP. T2. Bujus:) FAque hoc Forricellii Soldum LEyperbolicum Acurum.
Hinc etiam seguicur; iltius ngula (aciem habentis A5)    ASLIo
sive aux veriris porcioni AC Pho, velS C. PFI insistie, Centrum gravitacis (nempe
si quod sic.) seu Planum Aquilibrii, esse in eo plano quod inter excrema medium
cA. Nempe, primae, in eo quod medium cst intet A∞ e SFL, (quodque ab A ∞ Peu
TIS diltat : ; ) secunda, in medio inter A∞ _ CL, (quodque ab A0 seu C. I di
Pat: -- =C;) terria, in medio inter CI_ SHI, (adeoque a CT vel SII diltat
EC.) Duippe, cum linsulae rectae hs planum complentes aequaliter onerantuX
(nempe parallelosrammo IB,) Concrum gravicatis seu X quilibeii planum in iple
medio eric (non minus quam si Paralleloerammi plano infilteret P’arallelepipedum,
alricudinem habens ipsi L aequalem;) Per ProV. 2. vel 3. hujus.
Acque in quo per aciem plano lirum lic jam lupra Caepius oltentum est; (nempe,
in eo quod Ongulae alcicudinem bilecar.) Preo, in ca recta quae est uirique commu,
nis: quae itaque recta, es Axis Aquilibrii.
In quo aurem hujus rectae puncto sir Centrum pravitaci (quod ungulam resplciat
ipti A0 concionam) s inguiratur: Tnrenietur, (secundum ea quae cracica func ad
Drop. B. hujus) nusquam esse: seu (qund eodem rectute) in diltantia (ab AS) in-
tinira. Fst enim SeriesMagnicudinum, leries Agualium (proxter aequalia paral.
lelogramma iplis shrectis insistencia,) cujus Index, o; adeoque Magnicudo, verbi
BraCIa, NVP: Serres vero Distanciarum (Cenerorum graritacis) ab AS, (utpore in
media lonsitudine rectarum sh,) Series elt reciptoca primanorum (qualis est ipla
rectarum series) cujus Index, = I: Ft propierea Series Momeniorum (ex illis con
Tlata) TCTIES IIEIM RCCIPIOCA PTIAHOEUM; (PEOptCr = 1 f 9 = = T.) Adeoque
Nomentum intesrum, - =, - N~D = 5 N~ D: N~) SNDD (5D.
Hloc itaque per Magnitudinem ND dirisum, extribebic distanciam ab AS, SD; hoc
ClL, quae sic 2d ∞ (distantiam ceneri gxaritaris basis ab AS;) seu, in hoc catu, ad
EB; ut F2d0. Dux ratio est infinica.
Sed, Cuc ad Planum redeamus,) octensum est, (5 D. ) CSFL, (planum incer.
minacum,) aequale eAe axsieerco omnium sH, hoc elti omnium
B
21
C.
cC. Ilque de
A- 2
FAE autem
+ c. in intinicum. (Ouoc divi.
dendo L Per A - + patebit.) Adeoque
B
a = +
A
21
B. Fctimiliter ostendet
_c. in
F
B
12
Ec. in B
3a
dic