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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 556, page id 851387705:0576
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Curvarum Fodosi
(milciplicatis antecedentibus in 3, ut L, ay, all Cau A  
AR. L T.
28
Sic exlindri cireum sexipti superticies curra, ad curram Conocidis paraboliei superti-
ciem. Dua num inventis cuis consentiant, ride lis.
Ouam vero eadem parabolx curra cirea A P conversa superticiem describii,
(Propter cum disterentiarum rectarum co, cum particularum currae, ab A Y di-
Btantiam e0, in carundem ab AK distantia ratione duplicata,) erie ea superticies
curra, ad circulum semidiametri AD; non quidem ut ipsa solida modo dicta, (ex
convertione quadrilinei ARn T, _ trilinei AN YP, circa AR,) sed uc semiloli-
dorum horum momenta respectu AR rectae; vel ut omnes en ad omnes en, in
respectirarum Tuarum ab AK distantiarum quadrata. Oua quidem ratio, non
magis explicabilis est, quam ipsa Ouacrilinei ad Frilineum ratio.
Verum (ut ad alia etiam, extra Parabolocidum genera, transcamus:) Perpen
eupansa. danmo currame A BC. HS. 7. quam Fllissin expansam dieimus. Ouadtcala parci.
AK F ZR8
Cllipsis
cularum hujus, vel carundem subcentarum, sune ut quactrata disserentiarum Ei.
nuum vertorum (incipiendo ab A vel C,) live difterenciarum Cinuum rectorum
(utrinque d B procedendo,) quadraris aequalibus aucta. (duod ex ipso Schema-
tis inspectu patet.) Ouam ixitur racionem habene corundem quadratorum lic
auctorum lacera quadrariea, vel ad quactratorum aequalium latera, vel ad omnes
illas sinuum disterentias, eam habet ABC curra, vel ad AF vel ad FC. (Ouod
_ de partibus respectiris incellioendum cst.) Ouxe lamen ratio non magis ex-
plicabilis est, quam perimerri F llixseos, ad peripheriam Circuli, rel hujus dia.
metrum. Oux enim eranc in Hg. 2. FZC, FCF, Circuli et Fllipieos semiperi.
metri in superticie Cylindrica; eadem sunc in eadem expansa, H8. 7. AF recta,
e ABC curra. OT isitur AF recta, ad ABC curram; Sic Lemiperimeter Cir-
culi, ad semiperimetrum Fllipseos, cujus minor axis aequalis sc diametro circuli;
major, ejuldem duplum Dostic. Vri e in tig. 10. F A, e FC, Tunt ut quactrans
verimetri circularis, ad quadrantem Fllipseos, cujus major Axis minoris posset
quincuplum. Ec in aliis similicer, variara curvaturae mentura, pro varia conju-
Bacorum axium ratione.
E. AquE