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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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Cellae quidem Pigurae, ucu pro Splaltum seneribus haberi possinc, ee aliarum
Spiralium leges non retinsiant (debite accommodatas: ) nos tamen eas pocissimum
hic spectamis qua contermino Sectore includuntur. Quamquam si libeat Spirali-
um niinen ad iIlas etiam anipliare; erune urcunque ad reliquas Spirales similiter
redisenda, (noltrisque subjicienda lesibus;) atque Fisura quas Reciprocas dici-
mus, ad lalaoorocidium tamiliam.
Ouod aurem Spiralis Mrehimedea, aliudnon sic quam Conrolura Parabola Apoz
Joniana: sic cridentissime demonstracur.
Fie
Sumpris ad Spiralet Fi8. 200. M F, MT, hoc est MP, MP, quodibet; ut202.
23 3, 5, 7. _C. arictimetice proportionalibus:
condenque ad Parabolam rectam P1g. 202. il-
lis respectire aequalibus MPs MP; hoc e
in F, m F: aeque his proporcionalibus utro
Bique Z Y, ZY; hoc eltM _  dc. Sump.
eoque ubiris tigurae Spiralis termino, pura
M F, cui aequaIS BOnatuE P. P Batis Parabolae:
hujusque aleitudo P H seu MB aequalis Femisti
Eeripheriae lectoris contermini racio NI P Fg.
200. deleripei: FrunE IpIa MI V, p 1 SeUZ Y,
2. Y, recta, (3. 202. iphs Z Y, Z X, areubus,
fig. 200. ligillatim aequales.
Ouippe, B incellisancur numero infiniri ar.
cus Z L’arichmecice proporcionales (UENT,
5 SC. ) erunehi omnes simul sumpti; aequa
les Perdilt coridem maximo: requalium; hoc
et, semi areus contermini radio NI V dC
Teriper per prop. 2. hujus. Cai quidem (e
missi cum ponacur aequalis alrieudo Fatabola
X 1I, Icu MB, hoc elt, aggresatum omnium
P p Seu Z Y 68. 202. Sinque cum cocidem
numeto, eum proxorconales; lipRSI Z V arCI. Ci
bus tig. 202. Prune Curgulae lingulis, respectire
Tumptis,, xquales.
Cum hague sinc etiam FgilIacim NTP Ceu
in F Hg. 200. ip(IS MP, ICU MT, FB C2O2
aequales: Si incellisantur omniaen, e puncta,
in unum M colligi; (toro Parabolae axe in et P
vercicis Purietum conrracto; ) maneneibusre
Ctarim uZin D, X XG. donsicudinibus; re.
etisque Z FY, in arcum flexis: Roctandula
Z  X, in Sectores contracta iptis Z N Y
sectoribus; respectire sumpris, congruent;
propier cum ractiorum, tum areuum aequalica.
Tem.  153IB
ISitl pis i
Sed Sectores illi Z. M T,. E numero infiniti
incelligantur, idem sune, acque Figura Spiralis
(per deF. F. Cap. 4.) iplaque similicor Rectan-
vula Z iu V Idem acque Planum Parabolae:
Si itaque Parabola sie Convoluta incellisatur, uc ea omnia ex quibus conslari intelli.
Satur Fectaneula in cocidem Sectores contrahantur; sic Pigura Spiralis.
Et quidem ea tic Spiralis (ut ex demonstraris constar) cujus terminalis recta D.
neMP, Scxqualis ipsi B P Basi Parabolae; ansulusque circulationis tantUS, UE eon-
termini Sectoris arcus, duptus sir alticuidinis Parabolae: Hloc est. qux cam habet
rationem ad unam Circclationem incegra, quam haber Parabola alticudo dupla.
ad Peripheriam incegram ejuldem base deleripiam: Nel etiom . (si incellixatur
axis BM supra Parabolae verticem continuari, ilsque dum in C’ puncto ocourrat
rectae CF parabolam in ticoncingenti; unde, propter Parabolae naturam, duxla
Futura est C B iplius BN: y eam, quam habet B C. (axis continvatus ad oecurtimm
recta Parabolaui in balis puneto concisencies) ael inicxram peripheriam quae Paca.
bola base uc Raclio detenibatur.
2003
Co
PrOP. XXFLLL. aCalculo Centri Cravita