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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 236, page id 851387705:0256
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.80
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# After the first blank line: the recognised lines in reading order, one per line.

e
Et simili demonstratione, in Paraboloeidibus reliquis, adhibita; reverietur.
In Parabol. 1 Quadtratic. 1 Cabic. I Biquadrat. 1 Surdesol.
P0. D0::
AP. AD: : I
F. 2
F. 2X2
+.
2. 3
F. VC4 2. V995
F. 4VC4;
F. 5V9q
ICC.
AP. AC: : (2 - 3 22. 3225- 313. 2V3(2 2Vc4. ZVC4 2- 3 1995. 2 V995
Acque tactenus acucistime de Tubrilissime procedie Dominationis Vestrae demon-
Stratio. Oua quidem haec duo evincis; Tum rectam aX, quae inscriptam AO
bisecar, diametro occurrere in puncto C; (quod quidem aliud atque alind clt
AC:: F = =V3. V3.) Tum, si omnino ulla sic recta quae ad verricem a dia-
meter esse pollit, rectam a C eam esse, ut qua inseriptam AO BisecaY
Ac incerim, cum ad Diametri rationem spectet, non modo ut unam aliquam
ex inscripeis bilecet, sed et omnes cidem parallelas: quaerendum insuver restat,
an de hoc faciat eadem AC. recta. Fieri enim ommino potest, non obstante jom
allata demonstratione, uc nulla omnino recta id faciat, led linea porius aliquo.
modo incurrata.
Hluic itagne ut Patisfacias serupulo, adeoque totum absolras negorium; ad.
juncta certia demonstrarione, oltendis; non modo non rectam illam a C, sed nec
ullam quidem rectam, imo nec (uti videtur) regularem aliquam curram, dia-
mecri hujulmodi vices supplere poste. Nempe hoc modo.
In Paraboloeide Cubicali (erecta) 
Fst AP. PL.. L. b.
Adeoque PR. AR:: b. V: b + +
Ft, quia PR. P a :: 2. 3:: b. 3b.
Frit AP. P a
38.
Ft, quia P R. AR:: BP (= P a). BC: : B. V: B- 2: : 3b. 3V: B2+ 2.
Erit AP. BC:: F. 3V: B2 + 1.
FF Gua P R. Pa :: T. 3.
Frit P a . l.: 3. 2.
Fit B c. a:. . 2.. 3. I.
fireo, qua B e.  d.. L8. 4 d. : R d. 34 = L a - p1.
Fit P a. p ∞:: F. ZV 3. C In derotonsit. Pt abbe.
deoque
1
 l
e
bV
1et