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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)
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Carvarum EoBOVorS,
ipso Schematis inspectu paFeL.) Duam isirur rationem habene
corundem quadeatorum sic auctorum lacera quadratica, vel ad
quadratorum aequalium lacera, vel ad omnes illas sinuum ditteren-
ciaS, ea habet A B C curVI, vel ad A F vel ad FC. (Quod e
de porcibus respectiris incelligendum est.) Ouae Lamen FatIO nOn
magii explicabilis elt, quam perimetri FIlipseos, dd periFherium
Circuli, vel bujus diametrum. Duxe enim erant in Ag. 2. F2C,
FSF, Circuli e Ellipseos semiperimerri in supertiere Cylin-
drica; eaedem sunt in eadem expinsa, Ag. 7. A I recta, _ ABC
CUEVA. LIEIGIET A F recta, ad A B C curram; (ic semixerimeter
Circuli, ad semiperimetrum Ellipleoss cujus minor axis aequalis
sic diametro circuli; major, ejuidem duplum Poltic. UEi &, in
Ag. TO. F B, _ F C, TunE ut quadrans perimetri circularis, ad
quadranrem Ellipleos, cujus major Axis minoris posset quineu-
plum. Ec in aliis similicer, variac a curracurae mensura, pro vari d
conjugacorum axium ratione.
Fltque haec, ni Fallor, ea recta quam C ycloidis Comitem vel Sociam
(la Compaone de la Ronlere) appellac Auchor FiMto: iola, veur aliteF
apud ipsum acque me generaca. Juam enim ille dimidiam ductm
sircint in superficie Cylindri recti, delcripeam dicie; nos simplicius
sectione Cylindri plano fata, rocam describimus. Nescivisse (-
CLI em videtur, curram ABC. Ag. 7. non aliam esse quam LI.
lipiin FE Pf∞. 2. In Planum expentam. Si aUTCM CeHETO C.
dictancia C F, in suxertice oylindri Ag. 2. circini ductu descri-
bacur liner, non erie illa FEP Fllipts, (communi ploni
e Cylindri sectione Facta,) Sed alia curra, communi SphaerX _
cslindri sectione Facta, quae in planum expansa omnino similis
eric currae B C Ag. 7. Prioris Pemictr. Si enim intelligatur, (in
(10. 2.) FEr circini ductu delcripea, adeoque Cs recta, ubique ip(i
CF aequalis, unde demilla 62 in superticie cylindri OCCUTTAE
bali in 2: Juia eum CZ _ 2F subtentae, cum CZ e 26, xeque DOI-
Cint ips CS rectae, hoc es C F; erit 2F subrenta aequaliS ip(I ZC;
Adeoque omnes 28 (divita F2C in parres aequales inpunctis
quorliber 2) erune uc chordae arcuum in semicirculo arichimerice
proporcionalium, hoc est, uc sinus recti in quadeante, hoc elt, ut
rectae crilineu BBCHg. 7. complences, ip( BB ordinacim applicata.
Adeoque hincelligatur semiertindro F ZC PHg. 2. similis
alius cujus balis diamerer sic semistr hujus FC aequalis; CurVa
Crcloidis
oeito
218. 2.