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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 42, page id 834940469:0126
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=126
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000126.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.90
# 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.

P RO P, 19. Z H E O K P Mt A.
 IcFgura quecunque AB super qua imagineeur cxlindris
cus rectus seccus a plano cranseunce per rectam FC, e
planum bascos AB seminormalicer secante. AFrecta MT: re-
AE FC parallelas (itque superrecta ML miscilineum MOL. N
calisnature, ve (ducta recta quacunque FDCNO rectaLC
normali ee figuras AB, LOMN sccante in punctis D, C, H, O)
recta assionata P EF ad mediam arichmericam incer D F, C Ls
VEDC ad NO. Dico cylindricum rectum cuius basiS M OLH
de alcieudo recta P ese aequalem infcriori erunco cxlindrici
super AB scctire supea dictum est. Quoniam enim D est ad
mediam arithmericaM InEEFD F, C E, VE DC ad NO, iOIEUE
rectangulum Pin NO aequale cMerapezio arectis DC, CF,
DE. rectangulo ad D _ C, led tale craperium est communis
lectio plani super recta FO ad basem AB recti cum trunco
interiore cxlindrici; cumque hoc semper hac rbicunque du-
Catur recta L. D C NO, manifectum clt ex doctrina ductuun
Cregorii a S. Vincencio cylindricum rectum cuius balisMO
L.N e alcitudo P aequalem esse trunco inferioricylindricire.
cti super MOLN secti ve supra dictum eA, quod demonserare
Oporcuit.
Hlinc quoque pacet exlindricum cuius Ba(S MOLN _ al-
ticudoP esse moonieudine ee gravieare analogum dictocru-
co; cumque cylindricus sic lux bali analogus, paccceciam
truncum else cidem bali magnitudine de gravicare an alogu.
P RO P. 20. X HI P O R L M A.
llae polis qua I Ancecedente, screcta FZ rectae F
L Cnormalis, super qua sicmixcilincum OTV R ealis na-
CUTa, VE (ducta recta quacunque RTDS rectX F Rnormali e
AiguTaS OTVR, AB, incerlecance in punctis Y, D, 5) recta al-
senata P sic ad DS, rerecta RF ad rectam RF. dicocylindri.
cum