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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 (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
# Folio 112, page id 826605435:0132
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826605435&page=132
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

HeS A
Curvarum EoDoroE,
 hoc est, ut omnes V L, ad omnes V: L +Z P.
hoc elt, ut omnes L, ad omnes V: L + Z p L: SC AT recta,
ad curram A O. HIOC eHF, uc parallelogrammum cujus lacicudo
L, alcicudo P = A T: ad eruncum parabola aeguealEuNL, cujus
latus rectum Z L, ordinacim applicaca minima L, adeoque al-
ricudo abSciCa = L. Oux quidem cum supea tradiris convenire,
qu examinverie, deprehender. (Nocandum interim L ouohie
delionitur lacus rectum paraboloidis semicubicalis, illic detig-
niri lacus rectum Parabolx, unde Paraboloides illa originem du-
cic.) Acque hinc etiam conoidis superticies simili modo colligi
TUE, aEque ilIIC; VE HON GIE ODUS FCDCTCIC.
Idem similicer in aliis non paucis Paraboloidum generi-
bus obtinebitur. Verbi gracia. Sunco ordinacim- applicatxe do
= AC, in diameErOrum eatiOne subquinmplicata quadruplicaia.
EE propcerea dF ad d A, uC 5 ad 4: _ cS adE A, uC 4 ad 5.
Sumpris AC, AC, arichmetice prozortionalibus, quae dicantur
P, Edtumque communis excestus A= CE, diaeter d A = d
+
 = pV+ P, EriE CanG CnSO5 = V: 15 p + p VZ: = pV:
25 + Y E: TTEM, VE ES = 5 P, ad 05: sIc bO =EE = A, ad
Oc= AV: Y+ 23V L. ErBO, ut omnes A, ad omnes AV: Y
ao Y F: hoc est, uc toridem L, ad coridem V: L~ + 25F v
PZ: SIC A T recta, ad curram A O. Nempe, ut Parallelogram-
mum, ad figurx eruncum, cujus ordinucim- applicatx sInE V: L2
+ 22 F VP L. Similirer: Si esene ordinatim applicatae in dii-
metrorum ratione sub sepemplicatae sextaplicata, aut subnoncuplicarae
octuplicara, 55c. in intinitum: Duas omnes pariter evduio: cos
capaces recte asserie Fleuratius. (Ex aucem omnes, a Paraboloide
Diguadracicali, Bicubicali, Friquadraricali, CxFCrI Sque GUATM
Poreltates a numero pari denorimnur, eodem plune mode de-
FIranEUI,
Paraholoi-
dum alia
rum Curvae