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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 42, page id 85138403X:0058
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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 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

 L
Li+2.
ad C2 , sC Z F = V: D2 = a2: 2d Z Y = a N: D2 = a
Ouiiraque est character rectarum Z vbilinei AC. vAg. 10. PO-
sea recta C 2 ((18. 8.) = a. ad eoque curri C Z H8. 8. ho:eAt,
recta C Z H9. 20.  2a.
22. Fsujus aurem Dilinei, hoc est omnium limul L v, menfuca
Ec colligitr. Omnes V: D= = a: Tune uc ordinacim applicac
in Circuli vel Ellipleos quadrance. Adeoque (i radio D = C F
delcribatur circuli quadrans C Fn Ag. LT. ipsius omnes recte
ZS, caclio C n Parallelae, sunE V: D= = a: (Ponendo C 2 = a.)
Deinde, (i Tuper hoc circuli ouadrante erigatur quadrans Cylin-
dei recti, alricudinem habens Fo= C. F  D, qui oblieve lece-
cur plano eCn; e abscicta porrio secerur plano (uper Z. S recta
erecto: lectio Z o erir poralleloorammum, cujus ba(s L. S = V:
DE a: alcicudo 2G = C 2 a; edeoque ipsum patallelo-
GFiMU L 8  a N: D a2. Cunque haec omnia paralleso
oramma numero infinita, porcionem Cplindri complencia, line
respectiris rectis ZvHg. 10. proportionalia (uc qua ad eandem
a v: D2
Di EaEV-
bique ue CF A9. IF. dd C2 = 28, (C 2S ad ZY; erun omnes rectae
2 Thg. I2. aequales respectivis rectis 20A9. 20. Dleque aliter
diftere Bilineum ACV Ag. 20. d Bilineo F C X Fg. TP. Quam quod
(PFOPEeF reCtIM AC duplam rectaFC) alterii sie alcerius duplum.
(Ec parces iltius respectivarum partium hujus du
PlX.) Est aucem C Y F curra, currae hujusmod
(in se pos decullationem inicinere, recurrencis) Par
QUATEa
13. Sed _ pari ratione Bilinei FC Y Ag. LL. segmenca
CZ Y, Tunc Cylindeicae porcionis segmentis C Z0 Propocciona-
lia. Tocumque Bilineum FCY, ad quadratum rectae CF,
eam habec rationem quam expolita porcio Cylindrica ad ejus-
dem rectae CF cubum. Adeoque vE X ad 3. Sunc enim omnia
criangula Z 3s (triangulo C F a Parallela e Cimilia) porrionem
Cylindri complencia, ad coridem triangulo C Fo equalia, uc
omnia quadrara 2. 5, ad omnia quadrata C F cubum rectae C F.
complencia; nempe uc omnia D=  a ad cocidem D, hoc elCuF
n Z ad Z, (IVC UE 2 ad3. (Vel, quod eodem relidet, uc omnes
CIIC
P1G, LF.