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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 8, page id 85138403X:0024
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D CL 1CtDE.
Cylindro cujus balis est idem circulus C F, e alcicudo aequalis
rectx quae sIE ad iltius CIECUMFCrentIaM UE 5 ad 2; hoc eH, dupla sC
quialrera rectae A D. (FsF ucique innulus ille =D PXP = ZD P2
ec solidum illud Cycloidicum SDP 2. Incelligendo scilicet
per D, diametrum, ec, per P, Decipheriam circuli generancis:
uc ex deinceps alibi paNIm.)
26. Sed ex pari argumento de partibus judicandum Crie
solidi circa Nempe cum Colidum ex convertione segmenei CZ A, ad solidum
ex convertione segmenci FZF; ut e solidum ex convertione
Duadrilinei sZ CF, ad lolidum ex convertione sectoris F Z C,
eti uc 5 ac 2. DantuF aurem hxeC, ergO _ illa.
27. ed _ insuper, si ex Polido ex convertione quadcilinei
SZ. C F, auferatur solidum ex convertione craxerii cZ Y F, ma-
rebic annulus conversione segmenti C2. Y circaarem A F Fa-
ETuS; Qui IEaquC datuS est.
28. Fst aurem Annulus ille, aequalis Tolido 2. Y C _ vE (9.
3. (uE 8. 8. Oltendirur;) unde s auferatur dacum prisma
XZEON C. (cujus basis est seomentum modo revercum C L L,
alcicudo Xv; quae estad C ∞ sive 2 AD, ut F Y ad F C;) quod
Superest solidum a Eun xequatur Colido ex conversione lesmenei
CZ Y circa rectam Z X Facto.
Solidu axis 29. UIE vero habeamus solidum ex convertione Semicrcloidis
circa rectim C. F, ejusque solidi segmenta, libet pauloimmu
eare constructionem, (nulla necestitate, sed phancaliae juranda
STaciI.) Nempe cumprius octendimus, in figura circumleripta,
lraperii Parallalogrammum minus esse quam Trianguli duplum,
sed majus in fioura inscripra; differenciam vero utrobique (se
ctione in intinicum continuaca) eranescere; adeoque reapse per
inde esse sire inscripex sive circum fcripex fguex Praperia per-
Dendamus. (ee de Triangulis limilicer:) Commodum jam vi-
detur viam incer utramque mediam sectari, adeoque tum TFa-
peria Cyeloidis, cum Triangula circuli, parcim circum scribere,
Parcim inseribere; puta pro Praperio ZE vP Ag. L. Traperium
VBrP; _, pro Triangulo 2 Fp, Triangulum vF p subctitu-
endo; uc cum illic recta ZGcraperium, cum hic recta 2 F eri-
angulum, quali medium secet. (Ucur enim in sectione detini-
EA V Z MajOE (IE qua Z P, XvZ quam Z D, haec camen dif-
ferentia, sectione in intinitum concinuara, cranescit; adeoque
Seomenta
6.3
Fi8. L