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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 102, page id 826605435:0122
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.83
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a b
R na2 LPCd
Curvarum FddovoE,
la quadrata; eorumque radices As.
utem arcuum circularium differentia
Adeoque ut illae omnes, ad omnes HAS; (IC FI-
lIpseOS ExPOSIEX perimeTeF, LEF, vel ABC, ad peripheriam
circuli F Z C, vel AF. (Ouod e aliis Ellipsium speciebus
Facile accommodabitur, uE mox docebIEUF.)
Deinde, Si incellisantur cum Ellipseosilla, cum lx perime.
eri circularis parciculae, in iisdem respectire a suis aribus distan-
eiis converri; unde hac illic, Sphaeroidisoblongis hic, Sphaerx
Superficies: Frir superficies illa ad hanC; VIE OInneS A V: 2 R2
 a2: 2d coridem A R; EIVe, UE OmneS V: 2 R = a. 2d +0-
tidem P: HlOc es, (h incelligatur in parallelogrammo (H9. 3L.)
AB= RV2, eE A R = R, adeoque aF= a, reliquaque uE in
Schemace COnRruCta,) UE R C B A quadranis circuli segmen-
Eum, ad quadEaTUM A R minoris semidiamerri. Sunt enim
omnia beb rectangula, hoc est RV2 t a IN RV2 = a, hOC
eHt, 2R = =a2; UE rectATUM FC Quadraca: adeoque OIneS FC
reCtA, UE V: 2 R= = a. Ouod etiam ex PrOP. 224 Arich. IntIn.
Fulius pacebie.
Fodem modo, ad alias Flliphum species res accomodabieur.
Si hoc Calcem adVerEaTUE; In praesenti CaTU, PFOPEeF FC = CPHO. 2.
vel 29. aliquotas parres cum rectxe FC cum rectx C P, eodem lym.
bolo 2 delignari. Sin recta CF (quxe porest excessum quadrati axis
lonsioris supra brevioris quadracum) vel longior esset velbrevior
quam F C (circuli diammeter, vel FIlip seos axis. MINOF,) puTA UE
TTadR; POHIEa L aliquota parce diameeri circularis (ut priuS,)
erit = A eadem parS FeStX C T: AdeOque PTO p
sis
cumendum eris
TI2.
+ A
X a  2. Adeoque Sphaeroidis illa sur
R2 A
perticies, ad supersiciem Sphaerae, crieut onnes V: R F Y2
dF
A a
2 LC
Spheroidis
oblongi sit
persibtes.
F15. 3I.