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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 7, page id 85138403X:0023
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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 0.87
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L
CL CF
CUM SCOMENEUM Z A E seGMenEI Z F Z, EUM SCOMEHEUM Z E F C
Sectoris Z F C, (e lic ubique) criplum.
23. Jam vero, ex ductu S emiradii (=62) in arcum ZC, Sermentum
hoc est rectam Z Z, habeeur SeCTOF G Z C; aEque ex duEtu sC- C Z Y.
miradii (ZG F) in alcicudinem 2 X, habetur Triangulum (Z F.
Kroo ex ductu Semiradii in eoram Z Y, haberur sector F 2 C
Acque ex ductu Cesquiradii in eandem Z. X, habetur segmentum
EZ C F: Linde SIaUFCEaTUE E Z X F craperium, habetur dimen-
LO SCgmenti C Z Y guaesita: Vel etiam, subducto insuper
C2 Y, habecur C ZZ crilineum.
24. POrrO, Duoniam s ponamus semicirculum ex infiniris Solidut axis
erilineis, qualia Cn F, nZ F, Ec. vel eriam (natm EE HOC, PFO- A F.
prer infiniearem, adeoque ec approximationem in infinieum.
contundem valer,) ex infinieis eriangulis, qualia O. N F, p Z F,
eC, constire: ponendum et semicreloidem constare ex toridem
quadritineis, uE CNDF, NZ Er, ec; vel etiam craperiis nu
mero inFnitIS, UEO N VF, DZEr, ac; quorum quodvis ex-
hibeac cum Priongulum cum Parallelogrammum iltius duplum.
Ex convertione aurem Parallelogrammi, WE NF, CIECAaxeM
AF, Rec Cplindrus, Calrem distorrus; e ex Pmili convertione
Trianguli, uE On F, in hoc sieu, fec smilis Cplindrus conice
excaracUS, qui eric ? cylindri pleni: Ex convertione igitur Tr2-
perii, ex parallogrammo Cimul d triangulo constanris, Fic Poli-
dum quod ad Solidum COnVertIOne FFIangUli CM UE F + 3 2d 3,
sive uc 5 ad 2. Quod cum ubique hac; erit Polidum ex conver-
sione crcloidis, ad Colidum ex convertione circuli circa recta AF,
uC 5 ad 2. (Ouod ipsum etiam sC colligiEUr. C CHETUM OTa-
vitatis Traperii P ZC distac ab A F, per S recta F X; cen
crum autem gravicatis Trianguli p 2 F ab eadem A I recta, di-
Aac Z vel 3 ejusdem F Z: Cenerorum ieaque ab A E distanEiX
SuInE uC 5 2d6; Fe magnicudines octen (x SunE uE 3 ad c: FrgO
Guae ex iIlIS COMPONIEUT, Sive momentorum respectu AF rectae,
sire Polidorum circa eandem A F convertione Factorum, eatio, est
uC 5 ad 2. Nempe ZX Z = 3
25. Ex ea vero convertione circuli, fer onnulus (ur loquun
CUT) clausus, aequalis Cylindro cujus balis et ille circulus, ec 9l-
cicudo aequalis ilius circuli circumterenciae, hoc el re CX AV,
fio. L. Solidum icaque ex es conversione Cycloidis, LONLATUE
Crlindio