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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
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DF CTSSOTDE.
Esaurem (Per Supra demOnATACA) Series D V a in V: D= a
sive series DVa in seriem N’a inverse, ad seriem aequalium
uE F ad 4 B: FC N a in V a inverse, ut 5 ad 32O: FLGOD V a2
V a in V a inverse; UE
40
32.D 2d 1; hoc est, ub 3 2d
32B. AC series magnicudinum ad aequalium seriem, inventa est
uc 2 ad +D. ErBO, PTOPTCT
1F 32D (83 distancia, ad di-
Ranciam, uc 3 ad 8. Distantia ieaque linex ceneri gravicaris hujus
semisolidi circa F A, ab ipsa F A, 3 iltius rectae qua est ad FC
uc diameter ad semiperipheriam circuli.
Denique, Si Spaciumillud Cissoidale P C Z A F converei in-
celligamus circa rectam C F: Circuli radiorum J. L, (quipre in
radiorum racione duplicata) erune series
D= ad DuXe 2d seriem
aequalium, nempe corisem circulos radiorum D vel C F, ratio-
nem habenc intinicam; aeleoque est intinicae magnicudinis. Ouod
Sic colligitur. Series ad inverse ducta in
Series, 1. a. a
rationes
1. 5
r
a.
TXI TZIZZ EXELZXZ
a. Qc. dabie
TXEKZXZX4
A 4X5. AX5X6 AXGX6X7 AXGXOX7YB
dc.
CUM IGIEUTFATIONES CONFINUENEUE (UE PaTCE) mulciplicando
2 2
proxime praecedentes per 3, 533, uc. hacum prima mulciplicare
debet praecedenrem per 2 qus igicur eNet Z) + (5. Adeoque se
eieseadem a inverse ducta in seriem =, (hoc est, series
et ce
ddene Dua a
racionem haberer ad seriem aequalium q ad. O: quae est infinita.
Eplumque solidum proprered esser magnicudinis infiniex. Quod
irem oltendendum erac.
Ci t
Sed e propcerea, momentum plani Ciloidalis F CZ A F
respectu FC rectae, essec ad momeneum quadrati F C, vel D
uc 4 ad 0, (propcer planorum momenea lolidis convectione Fa-
etis provorrionalia,) hoc elt intinicum. Er consequencer, cumm
spacium cirmaenitudinis finicae, distancia cenesi gravicacis esset
ntimca