# Leibniz Legible — https://leibnizlegible.com
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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 67, page id 1047377675:0083
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=83
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.
# 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.

derius solidi ex eadem ceniri, componitur ex directa rarione perio
metri ad perimetrum  ex directa ratione intercepta inter cen-
trum gravitatis perimetri es axem rotationis vnius feura ad 
milem interceptam alterius feura
Enc duae Egurx quae cunque ABC, N OP, qua rocentur
a cirearectas EF, Y4: (incque contra graricatis perime-
erorum D, R, a quibus in axes rocarionis F F, Y4, demietan-
cur recte perpendiculares DC, RZ. dicorarionem luperticiei
Tolidi orti ex Agura ABC rocora circa rectam F. F ad superti-
ciem Colidi orti ex Agura N OP rocara circa rectam X 4 COm,
ponis exracione perimeeri ABC ad perimeerum NO P e CX
ratIONEDC ad RL. paralsellae rectis DC. RZ ducanturreCtE
BII, 92, Rguras ABC, NOP, tangences in B, Q: de circa BHI.
Qu3 SCUFaKes concipiantur revolvi AGUEA AB C, ONP, do.
nec ex altera exium parre in idem plunum reuoluex Aguras
eHicianE BLM, OIZ, Cibi iplis aequales, similes, de ad rectas
BtB FF; 22, X4, candem omnino polirionem hibentes. Sint
perimeerorum BL MI, ZTL, cenrra grauieatis On V; ducantuE
in rectas EF, X4. perpendiculares OI. V3iiunsuntur rectae
DO, RV,rectaS BI 2 incerlecances in punctis R3 S; ma-
nifeltum es punctum K esC centrum grauicatis incegriperi.
metriBAC:BLMi elcque Figura B LCBL.M circa axem BFI; CO-
demmodo punctum Sest cenerum graviraris inreoriverime
eri FisurE OHPQTLcirca aXem C2iPAter quoque rectaSIdi
KH, OI, icem R2352, VZ, ese incer le aequales. quoniam fi
Sura BAC BLM, QNPOTA, lunccircaaxeSBHI, O2, axibus
rocacionis EF, Tq normales; isitur superficies Colidirorun.
dior ri exrotacione figurae BAC BL.M cirCa reCtAM L F elt ad
solid i rocundi Cuperticiem orri ex rorarione ABUrE QNPC
LX inrarione compolua exratione perimerri BAC BL. M act
Perimerrum ONPCTX e ex rarione KH ad 52; scd superA-
cies Colidi orti ex Figura BAC BLM rOrata circA P F. CA duPla, 32
superticiei Colidi orei ex tigura B AC rotara cirea eandem F huiusa)
LgIECM