# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0165
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0165?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 81, page id 834940469:0165
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=165
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000165.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

1a
librii in baIc ese punctum C. ex roracione ABUIrX ACDKB
circarectam AB (ita uc eius parS extremas nempe Agura
CDRE delcribar praedicti solidi rorundi porrionem) Eae
Colidirocundi porrio, cuius cenerum gravicatis M; manite-
Cum est Colidirorundi portionem genitam a rocarione hgu-
EX ACDKB CNC aequale portionibus, Colidirorundi genita à
FDEATIONC ABUEX C. DKF Ccuius cenerum gravitatis L) e Coli-
dirorundi BenIEX a FOCAEIONC HGUTE ACEKBCcuiuscenerum
granicacis N)icem eruncum Cupertisura AC, DKB xequa lE CNC
eruncis super Aguris C. DRF, AC: FKB; de proindepacec pucta
F, HI, CnCnc in rna recta, irCM FHT esC ad H C uC eruncuS su-
DEF AC. FKB ad ErunCUM SUperCDKE, item puncta L, M, N,
esseinrna recta, SE LM eNC au MNI re porcio Colidi rocundi
genici a Apura AC FKB ad portionem Colidirocundi geniti a
AgUTACDKF; Cc d porciones solidorum rocundorum incer (C
(unc in directa ratione rruncoru, re Facile collisitur ex huius
23; d idcoreFHI adHIS ica LM ad MN. per puncta F, L. AC
recta FLO, d Per puncra HI, NI, recrAIIMP, icem per puncta
C. N, ACrecta CNO; SatIS PATCEreCtAS HIMP, CNC (cum linE
radiicirculorum, in quorum circumterentiis rOcantur dun
CTAHI G,) de ideorectam eriam FLO esse inter le paralielas
de recta ABnormales, ec idcove PMadP EIvelONad) C
icq OL ad OF; sed MI, N, lune centra graviraris arcuum cir-
cularium similium in quibus rotancur puncta HI, C, CirCA cen-
EraP, Qiec ideo L est eciam cenerum grauieoris limilis arcus
circularis in quo rocatur punccum Fcirca cenerum O, acque
L. eReriam cenerum gravicaris porcionis solidirocundi se
nici exrocatione Egurx CDKF circarecram AB, quod de-
monstrare oportuit.
PRO P. 42. E H EO X E M A.
Si linea vel linea quot cunque rotentur circa rectams vt ex ys genere.
cur porrio superticiei rocunda, etiam si radius rotationis illas in
quorcunque punctis secuerit; erit portienis super ficiei rotunda
C6M.