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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 81, page id 1047377675:0097
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=97
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.83
# 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.

librii in balc ese punctum G. exrOraTIONC SIBUEX AC D K B
circarectam AB (itaut eius pars exrrema, nempe hgura
CDRE deleribar praedicti solidi rorundi porrionem) AaE
Colidi rorundi porcio, cuius cenerum grovicacis M; manise.
Rum eA Colidirocundi porcionem genitam a rocarione Asu-
rX ACDRB esse aequale porcionibus, Colidirocundi genicu à
rocatione HSUEX C DKF (cuius centrum gravitaTIS L.) e Coli-
dirocundi geniexe a rocarione tigure ACEKB(cuius cenerum
Sravicaris N) icemeruncum super HgurA AC DKB aequale CNC
Eruncis (Uper AOUrIS CDRF, ACERB; de proindeparer pucta
F, HI, GCKC in rna recta, ICOM F FTeNC adFT C uE eruncus Cu.
DEF ACEKB ad eruncum SUPeEC,DKti, icem puncta L, M, N,
eseinrna recta, _ LM ese au MN re porcio Colidi rocundi
Geniti a Agura AC FRB ad portionem Colidirocundi geniti a
tiguraCDRF; Cc d porciones solidorum rocundorum inter le
Tunc in directa ratione eruncoru, ve facile colligitur ex huius
23; _ id eo reFFsadFTS ita LM ad MINI. per puncta F, L3 (IE
reCtAFLO, _E PEF DUNCTAFI, RI RECEATTMB, icem peC PUnCCA
C H, SCrecta C NO; CaeiS PaCCErCEtASHIMB, CL (cum linE
rediicirculorum, in quorum circumterentiis rocuntur nun-
CFAFI, G,) ee ideo rectam erism FLO esse incer se parallelas
de rectae ABnormales, _ ideove PMadP IIreI ONadOC
ita OL ad OF; sCd M, N, lunt centra gravicaris arcuum cir-
cularium similium in quibus rocancur puncta HI, C, CirCA CeM.
Era P, Q; d ideo L. elteciam cenerum gravieoris similis arcus
circularis in quo rocatur punerum Lcirca cenerum O, aeque
L. eR ecium cenerum graviratis porrionis solidirorundi se
nici exrocatione Agura C DKF circarectam AB, quod de-
monstrare oporeuit.
PR O P, 43. T H F O R F M A.
Si linea vel linea quorcunque rotentur circa rectam, vi ex yssenere.
cur porrio superticiei rocundae, etiamsi radius rotationis illas in
quoscunque punctis secuerit; erit porcionis supersiciei rotunda
cem.
it
5+
rA
CAH
19
Ab
1
irc