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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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ptI
PFOD. XXVII. DeCalculo Centri Cravitatis.
in circum ducta recta M A aequabiliter promotum, motu hoc compotico spiralem
MYT A describere, (quem vocane Spiralem Prima circulasionis:) Lildlemque 20
moribus continuaris; dum cadem recta MI A, tancundem ad B procracta, hoc est
M AB, sccundo circumducta, deseribic BOOB Ciremum sclundum:; Punctum
199.
fig. 200.
illud Lineans, similiter ab A ad B promoca, describit A F T B Spiralem circulatio.
nis Secundae t lc deinceps, ad cerciam, quarcam, aut etiam plures crculaciones,
quousque libet.
Maniteltum itaque est (ex constructione) rectas MF, respectiris angulis
AMT T, rel arcubus AO, (propier aeguabilem utrobique motum) proportionales
este: Nempe, Duota Bars est Areus AO cocius Peripherix; vet Aneulus AM L,
quaruor rectorum; ea pars cst M T respectira, corius M A: Vel ctiam (lumpra
Ansuli appellacione, laxiori sentu, pro Ansulorum quorlibet ABgregato, quamquam
duos rectos, aut eriam plures, rel aequer, vel superet; Arcusque appellatione, pro
Arcuum ageresaco quoris, eciamsr Luperet incesram Circuli Peripheriam; ut de
Sectoris nomine, pro Sectorum quoctibet Agoregato, ucur incesrum Circulum vel
etiam plures lupereE;) Quam habet rationem AM P Ansulus (lic Cumptus) ad
quatuor rectos; vel correspondens arcus AO, ad peripheriam InCEgram AO A;
eam habet respectira recta M P, ad M A. Ft Sic ubique.
Fit consequener; Si incelligatur Figurae Spirali MI L PM ( curra M F F re
ctague M T, sumpro ubiris T ulcimo, comprehensa) apcari tigura ex similibus
Sectoribus conttata; (quorum commune Centrum sic M, principium Spiralis;)
erunc eorum Radii Arichmerice proporrionales, (puta ut O, 1, 2, 3, 4, eec. Si fixu-
ram inscripiam consideremus; vet ut T, 2, 3, 4, 5, dec. si cireumleripram; aut eti-
am u1 3, F3, 22, 33, 42, ecc. hoc estut 1, 3, 5, 7, 9, etc. si his incermediam, par-
eim inseripiam, parrim circumseripiam; qua omnia, in parcibus intinite exiguis,
cancundem valene ut ad prop. I. hujus ostentum est:) Nempe, ut Series Pri
manorum. Adeoque Sectores ipsi (urpore in duplicata ratione Radiorum,) ut
Series Sccundanorum.
E consequenuer, eorum Aecrexatum ad Aepreeatum roridem maximo aqua
lium; hoc est (per def. T. cap. 4.) M FM Agura Spiralis, ad Sectorem conter-
minum P TM; uEF ad Z; (PeF pEOP. L. hujus:) ubicunque Sumatur P ulLimIIML.
Puta (Dolico ulcimo F in V, ) M F TVM =SMV PM. EL Sic ubique.
Fxspeciarim, Figura Spiralis Primae Circulationis, aequalis Frienci Circuli Pri-
mi: Fcligura Spiralis Duarum Circularionum (bis compurato quod bis deseri-
BIEUE,) aequalis Prienti Circuli Secundi bis Tumpri (ut qui Radio maximo bis
circumducto bis deseribitur:) Pixura Spiralis Prium Circulacionum (a principio
TEEEF
termipex
b.