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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 671, page id 851387705:0691
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erop. Ull. e Ciam atai .
Idem Analycice, tanquam A nOndU NOTIM L
esset, sic inveltisabitur. Intelligatur AB, EaB.
quam ex intinitis numero Punctis constans; (e
timiliter ex Rectis, Parallelosrammum; _c, ex
elanis, Prilima, Sc.) aeque cractis; quorum ita
que Pondera SInE, ut P, P, P, P, EC. Guorum
NumeEUS SE HI. POTITOGUO CENEO, vel AXC
MOTIS in ipso extremo A; erunt eorum inde
Distanciae respectirae, ut Od, Fd, 2 d, 3 d, c
2b 223 4 E
alque ad D. Et momenta seu Ponderationes, ut daP, TAP, 2 d P, 3 dP, dc
usque ad D P. Ouorum omnium summa (Der F hujus) est uc Z N DP = N P XZV
Nempe quantum simul ponderaret _ P cocum Pondus vel lumma Ponderum in di-
stancia = D. Fancundem itaque distac Centrum Cravitaris a perpendiculari per
A PlanO, (per 24 Cap. 4.) Pritque proxcerea in parallelo plano per mediam lon-
sicudinem, Duod crat ollendendum. Cxeceraque hine deducuntur, ut prius.
SC HO L TV M.
DEacuie hanc demonttrandimethodum, in re lacili, exteris subjungere, ut eome
lius intelligatur, ubi illa post in difficilioribus adhibehitur.
Intellisimus (quod semel monendum exic) ubi de figurarum centris graricaris
agitur, xquabilicer graria elle, sive puncta, Sire plana, sire Solida; hoc elt, aequali
magnicudini aequale pondusmesse; et proportionalibus, proportionalia.
trem; Puncta, Lincas, aut Plana, ex quibus idem Cirare, ut Linea, Planum,
aut Solidum, conslari intellisitur; aeque crassa este: utnempe, pro incerjectorum
numero, diltantiarum ratio cenleatur. Ituc enim non negarerim, ad del. F. C ap. 4.
posse quidem secus aliquando altumi: ubi tamen nihil cale inFInUIaCuF, Pro Xque
craltis lunt habenda.
Ouxque hie monemus; in lequencibus eximt incellicenda.
Nocandum interim, ad hane Propoliionem, et alias lequentes longiores, Liceras
in margine positas, indieare, in quo Demonstrationis menibro quaerenda sic istius
parcis probatio.
P R O P. IIL.
Si quaeris Linea (recta aut Curra) vel Figura qua
vis (plana, curra solidare,) plano per medium
ita dirila sic; ut sinsulae unius seemenei par-
eiculae, singulis alterius respectire sumpeis, sint
aequales e aequaliter à diridente PlanO FemOEX:
Centrum Graritatis Cs in Plano dividente.
Puta, Linea recta, utcunque bilecta. ArcuS Cir-
culius producto Radio bilectus. Curra Parabo-
lica, Fyperbolican auc Fllipricam Are producto
bisecta. Portio perimeeri Polrsoni regularis
(auE etiam FOTA PerimCTeF) recta per centrum
tiourae transeunte bilecta, si bisecans illa recta
vel Laterum unum, vel unum Angulorum bile.
et.
irem: Circulus, FIlipeis, Polrgonum regulare
(ejulre portio; ita ut dictum est, recta bilecta:)
Item Sphaera, Sphaerocides, Conus, Conocides, Cxlindrus; et horum
Supexticies: Item Prramis et Prisma, balium regularium; Segmen-
cum Circuli, Ellipseos, Parabola, EIrperbola, Sphaera, Sphaeroci
deos; muleaque alix figurae; plano per axem bilectae.
Elarumque aliquarum, (quae pluribus lujulmodi Planis secari postune
1o Aig. 2