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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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Cia P. V
De Calculo Centri Cravitatis.
Fis. 299 semper ordiendo,) Totres compurando quamlibet parrem quories iterato descrihi-
Tur (quippe quod pruna ceuatione deleribitur, id in secunda repetitur: EOFM
que hoc, intercia; ee lic deinceps;) aequalis Prienti Circuli Tercii ter Tumpri
(upore qui a Radio maximo, ter circumducto, ter deseribitur:
Felic semper, uvicunque eandem terminetur (sive in ablolutx alicujus Circu
lacionis termino, sire loco quoris intermedio:) Nempe, Fisuram Spiralem, Tri
entem esse Sectoris contermini, tories repetitis omnibus quories ca iterato deseri-
buncur, sire a Radiis crescentibus intra Spiralem, sive d Radio maximo in conter-
mino Sectore.
Sumptis igitur, ad idem Mpunctum, (a Principio Circulationis ordiendo,) an-
gulis continuis quorliber aequalibus, (cujuscunque magnicudinis,) ut P MI, EN 2,
2M3, 3M 4, ecc. quae (a Spiralis Principio or(X) huc perringunt Pigura Spi
rales; (pUTA M L M, M Z ZBI, MI F23MI, MI F23 4 MI, ecc.) TUNE UE 2, 8, 277
64. ecc. numeri cubi continue sequentes; Tire ut Series Tercianorum. Cum enim
(per iplam spiralis constructionem) Racii M F, M 2, NI 3, ecc. line arichmetice
proportionales, seu ut Series Primanorum; puta uEa, 2 a, 3a, _c. adeoque Secto-
res similes ad hos Racios (vrpore in Radiorum rarione duplicata,) ut a2, 4 a 2
Da2 ec. Series Sccundanorum: Frunc (propter iplos Sectorum ansulos arictime
rice proportionales, limiliter cxescentes Uta, 2 a, 3 a, _C.) SCCtORES MI FP, NI 2 P
M3 P, _C. ut a 3, 8a 3 27 a3, c. (nempe in ca ratione qux componitur ex rationé
Ansulorum, ex ex duplicaca rarione Radiorum,) qua ell uc series Percianorum
Adeoque d Conterminae LigurX SpiTaleS, M LMI, M L 2 MI, ML X 2 3MI, ec. (utporC
Sectorum illorum Friences, ur modo oltentum ett,) ut 3 a 342 27a, ecc. leries
item Terrianorum; Teu ut F, B, 2, ec. numeri cubi.
Fx consequenter; quae his concinuis angulis aequalibus conveniunt Figurae Spi-
ralis POrtIONES; DUTa MI L M, LM 2, 2M 3, 3M4, _CC. Ut 1, 7, 2O, 37, _c. Cy-
borum 0, 2, 8, 27, 64, ec. differentiae. (Oux omnia in nostra srithmetica Infi-
nitorum, tulius expoluimus; praesertu a prop. 24. ad prov. 38.
BC, speciarim, tumpris Angulis rectis PME, EMF, FHO, GMA, AMEI
AIMI, LMR, RMB, BMC, Sc. Polita tigura Spirali NIPEM = F, eruni
MTH FM = 8, MI TE FOM = 27, MTEFGA N = 64, ecc. Cum itaque
tIE M I F. FC AM iriens circuliprimi, (. uc jam oltentum ct;) hoc est, (volito
Circuli Pruni Racho M s a Pelipea AO A = P, adeoque iplo circulo
6X 2
3B4 R L 11n, qUa SIII, ANId = 3a R P ;
Et RD; qua SCM, TM IE = 34 R P3
qua Oclavo, RNB =  AL; guX NOnO, BNL. = 3A RP:
e lic deimceps, quousque libec, in ratione diffetenriatum numerorum Cuborum
concinue sequentium.
DeS, CaICMal Duad BlaeITOS, PMIF, F. M C, Se mucuo in M decustantes exi.
demus; carum momenca hacum respectu, adeoque Ceurrorum fravicatis ab hus di.
Panchis, inquicendo. EC prio quidem respectu iptius PM F.
00.
in binis primoribus) JeS R P = 8 RP ; qua Seprem quadrantibus (rePetitO quod
cxarin cribus primoribus) 34 RP; qua quadrantibus Octo; hoc est, binis Circulario-
(refectuis quae tuerant prius descripta, d quidem coties quocies descripia fuerant,
Drimo, AO A = = RP,) Figura Spiralis primae Circulationis M P F LG AM =
AD = S AP: Frir quae primo quadranti conreni tigura Spiralis ze RP; quae
Duobus seu  P = ab PP; quae PribuS, ot RP = 2E RP; qua Ouatuor (hoc est
Ligura Spiralis Primae Circulationis.) s RP =SRP; quae Ouadrancibus Ouinque
lrepecito quod erat in primo) 33 PP; qua sex quadrantibus (repetiro quod crat
nibus, (revetico, quod erat in prima) 3 RP ==3 RP: qux Norem quadrancibus
S = F 228.R P ; eg lC demcers quolude opus eric. Nempes univertalicer, in
ea ratione ad SRP, (crientem circuli primi, ) qua cst a 3 ad P3, seu r3 ad R3. Puta
quae secundo, L. B P = 3b2  L . Al Lertio, F M G, = 3 R D
qua CMareO, GM A=
quae Sexto, HMI =
Adcoque, quae Primo quadranei convenie, NI P F. M = , l RZ
Eis ita de Fisurarum maxnicuume conte, Guo C StavICalIS deLexMI
Sune