# 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 69, page id 1047377675:0085
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=85
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000085.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.74
# 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.

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69
incercepse inter cenerum grauieaeis perimerri et aXem rOTA
tionis vnius figure ad similem incercepeam alcerius figurES
C quibus duas dacas cerciam ignocam Pemper PaFeFACerE.
Lodem modo demonstrantur hec omnia rniuertalicer in
omnibus, lineas vel lineis figuram non comprehendencibus,
ica re omnium demonstracionum seomecricarum hE lInE
maxime rnivertales.
P R O P. 35. TH F O A F _ A.
Omne solidum rocundum aequale est cytindrico recto cuius basis est sc
cura excuius rotatione eienitur solidum es altitudo circum-
ferentia circuli in qua circumuoluitur centrum
granitatis ficura.
Te Figura quae cunque AB cuius grauicacis centrum C:
D extigurae ABrocatione circa rectam D F. Fiac Colidum
rocundum, quod dico ese aquale cylindrico cuius ba.
(I5 AB figura _ alcieudo circumterentia circulis in qua cir-
CUIMEOEaEuE CenErum GravicaEiS C. Sic rectanGulum HICIKI
rEct
nguli HOKI
cuius ctaaISL
circa latus HiI concipiarur fieri cxlindeus, ee ex graviearum
1d