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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)
# Folio 102, page id 85138403X:0118
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.83
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2 l
2 R=  a3
R= a
 A
a
Curvarum FdBOrOS,
ipla quadraca; eorumque radices AV:
Ip(ae autem arcuum circularium differentix
22- Adeoque ur illae omnes, ad omnes HaS; (IC FI.
lipseos expotux Perimeter, EGF, vel ABC, ad peripherium
circuli IZ C, vel AF. (Ouod ee aliis Fllipsium speciebus
Facile acCOMIOAABIEUE, VE MOx dOcCBIEUF.)
Deinde, Si incellisantur cum Fllipseos illae, cum hae perime
eri circularis parricule, in iisdem respectire a luis axibus dictap.
eiis converei; unde tiac illic, Sphaeroidis oblonzi; hic, Sphaerx
Superticies: Frir superticies illa ad hanc; UE OnNeS A V: 2 R=
= a: 2d coridem R; CiVC, UCOTIHCS V: 2 R = a2. 2d 1O-
cide R: HOc eA, (h incelligatur in parallelogramrO (H9. 3F.)
AB  RV2, _ A R = R, adeoque ar a, reliquaque uc in
Echemace constructa,) uc P. C B a quadrantis circuli seomen.
cum, ad quadeatum AR minoris semidiamerri. Sunc enim
omnia brb rectangula, ho5 e RV2 + a in RV2 = a, h0:
eHt, 2R= = a; UC rectarum FC quadrata: ad eOquC OmneS FC
rectae, ut V: 2 R = = a2. Onod etiam ex prop. 124 Arich. InFin.
Fulius PacebIE.
Fodem modo, ad alius Fllipsum species res accomodabieur.
Si hoc Calrem advereatur; In praesenti calu, Proprer LC L CPFD, 2.
vel 29. aliquoras partes cum rectae FC tum rectae CP, eodem Cym-
bolo  delignari. Sin recta CF (quae porest exceltum quadrari axis
loneioris supra brevioris quadracum) vel longior esset vel brevior
GNa F C (circuli diamerer, vel Ellipseos axis minor,) puca uE
TTadR; Polit a A aliguora parre diamerri circularis (ur PriuS,)
CriC  A eadem pars rectae C F: Adeoque prO
Eumendum erie
R. A
(27
R mad F A
X = a Y p2 42. Adeoque Sphaeroidis illa su
perticies, ad superkiciem SphXrX, CTIE UE OMNeS V: R 2 + 1I2 -
t
m
Spharoidis
oblonei su.
perficte
F18. 3F.