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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 2, page id 85138403X:0018
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et
DC
quam reliquae: dempe s F, hoc est Z. 2, ips Z C. FFscubi-
Gue.
3. Rectaigieur Z Y aequat ubique aggregaTuM AECUIS eC Si-
nus recti, Sinui verso C Y convenientium.
dmierelois. 4. Si uper circulo C 2. F circa Cycloidis Arem conltituto, auc
huic aequali, erigatur C plinarus rectus F ZC F, (Ag. 2.) alcicu-
dinem habens C P, diameero BatiS aquale: POFA CUPerFCIeS
hujus Crlindri (cum balibus) est dupla Crcloidis ACD F:
(nempe dux bases Cylindri H9. 2. Tune duplae circuli C ZF Hg
2. e Cylindrica superticies curra, dupla reliquorum segmento-
Tum:) AEque si eadem superticies (superficies, inquam; non
Cplindrus, ne novae superticies secando emmerganE) PlanO F C L
perarem bisecetur: Semisuperficies Cylindri erit dupla Seni-
cycloidis A F C; (nemDe duae semibales, Tune duplae Pemicircu-
li C. Z F Ag. 2; e Semicylindrica superticies curra, dupla crili-
nei C AF Z :) Lc denique h ea semisuperticies bisecetur ad-
huc plano elliprico PEPu quod planoF C F rectum (IC; semi-
suxerticiei illius femissis F CF Z C Y F aequabir semicreloidem
C A F; (nempe Semicirculus DalIS C Z F Ag. 2. aequabit semi-
circulum C Z F A9. F. et superticies curra FC FZC F aequabic
erilineum C AF Z.)
5. Nam, sumpro ubiris in Creloidis axe puncto Y, unde pa-
rallela Bah ducatus Y2 V: rectae C Y in axe Crcloidis lumacur
C Y aequalis in diamerro basis Cplindrica, unde ducarur lv
lateri C P Parallela, diagonali L P OCCUEreNS in V; _ PeF Dun.
ctum v, planio bas FZC, Parallelo, puta vs c, secetur superticies
exlindrica sectionem extribens s c arcum circuli, qua (proprer
Parallelas) consruet arcui 2 C in base Cylindri, hoc eltarcur
2 C circuli genitoris, ade04; 2 Z rectae aequalis, (sCuE _ v E COn-
SMIFrect_ LZ lire in base cylindri sire in circulo generante.)
Duod cum ubique tac, erune omnes curvae in superticie cylin-
drica T B F ZC T, ipsi E cparallelae, aequales rectis omnibus ipsi
2. Z Parallelis in trilineo cycloidis C AFZ, e lingulae Cingulis.
e limilicer poluxe (in iisdem pura sive à base sive 2 verrice di-
Sanciis:) Adeoque, Proprer aequalem etiam urriusque heura
alcicudinem, figura figurae aequalis: Cuperficies eslindrica, plano
erilineo; (sed e seomenea illius respectiris segmentis hujus,
eF BaTEE:) Eo h addaneus uerobique reguales semicirculi C Z F,
ex
6