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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 122, page id 834940469:0206
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=206
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.87
# 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
RtOMC du L
EPC
C2 2POtaC
Nocandum demontrationem 65 et 66huius eNc maximé
vniversalem, sed praelo currence non memini illam debito
locoinserere.
Eric examinauimus eria spiralium genera; quorum primu
idem ek cum illis duobus; quae mensuranit R. P. Sce phAnUS
de Angelis in libro suo de Spiralibus ec inhine lib. 5. de pa-
rabolis; secundum quoque idem est cum illis duobus, quae
dimentus eA inlibro de Spiralibus inveras; cereium ctiam
exeositauit idem Machemaricus Pasacisimus, illudque mihi
nuper communicouit.
Summopere nocandum omnem Eguram posse concipi
licur inuolucam, ec merhodo nostea invenietur cadem cuo-
luca; hinc enim non parum augmencerur gcomeeria.
Adeofertilis esthacnoltra mechodus, ve dissicile Fere AE
aliquid proponere illi omnino imperrium; quod uc experia-
mur, Coluantur duo illa problemica quae propotuie RenacuS
Francileus Slutius in prop. 8. dc infinicis hyperbolis R. Po
Scephrani de Angelis. Sit AB, b; BD, a; sicque secundum re-
norem quaestionis, Veb2 ad ba - a ica a ad ba3 = at quadea.
1
eum rectae DC, _ ideo (ex huius 54) summa omnium qua-
dracorum ab inAinitis DC cric b3, ac lumma coridé quacLuco.
2.O
rum rectae AB CA b; cum ieaque hae quadraEOrum summae
sine duplae cruncorum inferiorum, qui secantur in cylindri-
cis rectis sUDeE ACB, AEFB, a plano baM Ceminormali, crie
(exhruius 23) ucb3 adb nempe ne 20 ad 2, ica cylindrus ex
20
rOTaEiOnC AE FB circa AB ad lolidum rocundum ex rotatio.
ne ACB circa eandem AB. Sic secundum propolicum vein
eiu(dem de infiniris hyperbolis prop. 10. AEque racio AB ad