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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 (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
# Folio 88, page id 826605435:0108
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

DF CTSSOTDE.
EstaureM (Der TuPTA demOn AFAFA) Series D V a in V: D = a:
live series Daa in seriem v’a inverse, ad seriem aequalium
uc 2 ad 4∞. EF V a in V a inverse, uc 5 ad 32O: FrgOD V at
40 u
V a in V a inverse; uE
82D 24 2; hoc CA, uc 3 ac
32 D. Ac series magnicudiuum ad equalium seriem, inventa est
ut L act 4 D. EKBO, PrOPEeC q F 32 D (83 dictancia, ad di-
RinEiam, ux 3 ad 8. Distantia icaque linex ceneri gravicaris hu, uS
semisolidi circa F A, ab ipsa F A, 3 iltius recta quae est ad F C
uE diamecer ad Temiperipheriam circuli.
Denique, Si spatium illud Cissoidale F C Z A F converti in-
celligamus circa rectam C F: Circuli radiorum L. L, (quippe in
radiorum ratione duplicata) erune series p quxe ad seriem
aequalium, nemperoridem circulos radiorum D vel C F, ratio
nem habene intinicam; adeoque est intiriex magnirudinis. Ouod
Sic collisitur. Series a inverse ducta in
Peries, X. a. a.
FaciOneS.
2 a.
a. Qc. dabie
E ExE TXIXZ EXIZLKZ EXIXZK3Y4
4 4XS AXGXO AXSKBKZ AXGXOX7X8
ec.
CUM IOITUFFALIONES CONFINUENEuF (VE PaceE) mulciplicando
proxime praecedentes per 5, 537, Qc. harum prima mulciplicare
debec praecedentem per L queisitur esset 2) E (S. Adeoque le
ries endem a inverse ducta in seriem = (hoc est, series-
rationem haberet ad seriem aequalium 4 ad O: quxe est intiniFa.
Iplumque solidum propcerea esset magnicudinis intiniea. Quod
ivem oltendendum crat.
Sed ee provierea, momentum plani Ciltoidalis F CZ A F
respectu FC reCX, eNet ad momentum quadraci F C, vel D
uc 4 ad 05 (propter planorum momenea Tolidis convertione Ed-
etis proporrionalia,) hoc est intinicum. FC conseguenter, cum
Pacium sic magnicudinis simita, dictancia ceneri sravicatis esset
InMMILdS