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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 115, page id 85138403X:0131
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.85
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Et TInaNSudS.
proxorcionalis sIC. Habebirur
N: a2 + 2 a K
20
pe.
Ladedesum
ooregatum omnium p2 exhiberi pocerie; ur ex omnium pore-
ltacum ipsius p, qua denominantur a numeri z mulriplici SI vero
insuper n ee Z numeri, communem aliquem divilorem admitenne,
PUTa F: sirque f) N (S, _ f) Z Ce. Fxhibebicur eciam omnium
pe dsgresatum, uc e porestarum ipsius p quxe a numerie mulcipla
denominantur. Acque hinc dijudicandum erie, quatenus vel ipla
AO curra, vel conoidis suxerticies ab hac deseripea, aue hujus
Temisuxerticiei momentum respectu axis, aliave hujusmoci, ex
triberi postine vel non postint. Acque de P’araboloidibus hactenus.
Tandem, Coronidis loco, iptam Crcloidis curvat ad exa C Mt da Cy
men rerocabimus. Nocum est Cycloidis cansentes Z. Y, Cubrentis
Circuli Genitoris ZC, parallelas esse, e aequales; Adeoque e
earum parciculas . I, ip(IS 25. Dux quidem eansentium parricula
(in Parcibus exiguis) ipsis Z. J. Cycloidis particulis (ob rationes
Lupra IN(IMUALAS) coinidere censendae Punc. Divisa aurem C F
in parces xquales quorlibet in punctis Y, qua dicantur A= Y l;
unde HaHE C Y arichmerice- Proporrionales, quae dicaneUT d, TO-
EaquE C F = D: Frun ubique ZC = N d D. Trem, ut CY = d,
2d 2C = Y d D; sc Y Y vel. A, 2d 28
=N= Adeoque, omnes e, ad omnes 
2
V aD
hoc est, CF recta, ad CUrAI C Z A; uE series Aqualium, ad
seriem Recip: Ocam subsecundanorum. IlOc eA (Per Prop. 87. et
Fegq. Arich. InEn.) uc C F B rectangulum, ad congruam Fguram
incerminibisem C F BB st C: (ex partes parcibus respestive pron
porcionales.) Hoc elt (per ProP. 202. Rrich. In(IM.) uc 2 ad. 1. Fp
Propterea C Z A Semicycloidis curra, diariecri genitoris circuli
CF, dupla
(EIbenEUE auTeM iPEX YB, E incelligantaE cum Pemipir a bol3
(CujuS VerEex C, axis C F, _ BasiS axi aequalis, adeoque et literi
recto,) cum huic circumseripeum quadracums dc Aac, uc rectae in
pacabota, dd rectas in gunceoto; (EeC ell, uc Yd D, vd D; + 10
loidis.
18. 37.