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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 109, page id 826605435:0129
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826605435&page=129
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.89
# 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.

EF HINarVOuOS.
E, ad V: L + 4 p: auF ZZ ad V: = L2 + p2. Adeoque UE OM-
neS V: = L2 + p: ad toridem = L; lIC OmNeS OE FANSCHTCS, HOC
cA, (in Pa:tibus exiguis) 00 curre, hoc est AO curva, ad om-
nes EF, hoc est rectam A T vel D O. HO-CH, Si H9, 26. P0-
nIEuE A R = Z L. semilacus cum rectum cum cransvertum hy-
Deibola R n; _ A T uc in parabOli: FFIE, UE Y A KK reSTan-
oulum, ad T A K n quadrilineum: sIC A T cangenS, vel basis
DO, ad A O curram parabola. Fc parres pircibus respectire
proportioniles. Duod quidem supra inveneis convenie, ubi axem
AD ad AO currom esse ostendius, uE T A n criangulum, ad
idem T AR  quadrilineum. NaI AE TriaDSaIUM T A X =
d C, ad rectangulum Y A K = Z L V d L; hOc elt, uL d ad vdL:
LiC A D dd A I.
Sed e hinc limili modo acque supra, inveniemus superticiem Conoidis
conrexum conoidis pacabolici. Nempe (ob easdem varcicularum Parabolici
LF _ n X distonias ab A IE,) FrIEuE Cylindrus ex convertione superfeies.
TX poralleloorami, ad Cylindrum ex lmili conversi one paril-
leloorammi Ts minus conoide hrperbolico ex convertione R SK
hyperbolae, (circa eandem A s reCTAM;) SiC circutuS radio A Y
delcripeus. ad conoidis superticiem conrertione AO curra de-
Fcripeam. Quod e supra craoitis eriam conrenit. Nam eadem
est racio circuli radio A T descripei, ad duas tertius superticiei
cplindrica recta TO descripexe, quxe est Eolidi ex convertione
PAK rectanguli, ad solidum ex convertione crianeuli Y A n,
circa eandem AH. Ouare e eadem superticies Conoidis veroris
modo proveniet.
Sed incelligamuS jnm (nON A F, Sed) A D in punctis d Xqua- CurVA PA-
licer dirilam: adeooue d a = d arichmecice proportionales, e rabola.
dd=  aequales, e d0 = V d L, _ (propcer dF duplam FIg. 36.
rectae d A) cangentes OF = N: 4 d2 Y d L. Trem (concinuatis do
AOneC PFOxIMX GUXGUC LANGeNEI O F OCCurFAEin I) VE dF = 2d,
2d FO: sic d d  A, ad 0i
N: 4d + dL. AJ: d + 2 dF.
Adeoque (I ad eunde AD AXCM CONAEUAEUE CUM A D a cri-
angulum isosceles restangulum, cum ADH hrperbole (cujus cum
lacus reCtum Cum eraNIVersUM sIE = L,) aEque AD L rectanou-
lum cujuscunque lacicudinis, (adeoque sinsulas e d singulis 
F19. 28.