# 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 62, page id 1047377675:0078
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=78
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000078.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.91
# 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.

62
eius exlindrici super ABC ad eorum cxlindricum super HIII.
ee exratione corius cxlindrici super H(I. ad eruncum lui in-
Feriorem: Sed eruncus inferior cylindrici super ABC eA ad
torum cxlindricum, ve FD adrocacionis radium AgurE ABC
ex consectariohuius 29 converrendo, et cylindricus super
ABC est ad cylindricum superHIIL ve Agura ABC ad Agu-
raM ETIL, icem cylindricus super HTIL est ad eruncum Cuum
inferiorem veradiusrocacionis Agure HIIL adRH, exconle-
etariohuias 29; ee proinde rario erunei inferioris exlindrice
super ABC ad eruncum inferiorem cylindrici super HIIL. Co
ponitur exratione rectae D Sad roracionis radium Agurae A
BC, exratione Rgurae A B C, ad Aguram HII L, e ex rarione
radiirorationis AGUTA TTIL ad rectaM KN: ee ideorario (0-
lidi orri exrocarione Agurae ABC ad solidum ortum ex rO.
eatione ASurX HIIL componicur, exracione AgurK ABC ad
Ecuram IIIL, ex racione rectae D Iad radium rorationis A-
Sura ABC, exratione radiirorationis Agurae ABC ad radiu
rocationistiourae HIIL, e exracione radiirocacionis fioura
TIIL ad rectam R N; Sed eres postremae rationes cOmpOnURE
rationem D F adKH; d igicurratio (olidi orti ex rocarione
tigura ABC circa FC. ad Colidum ortum exrocacione Agura
HIIL. circa MO componitur exratione Agure ABC ad Agu
ram HIL, d eZ ratIOBC InFETCCPCR inter CenEruM GPaUITATIS
figurae AB C e eius axem rorationis, nempe DF, ad incer
ceptam incer cenerum grauiraris Esura HIIL. et ciusdem
axem rocacionis, nempe KH, quod demontrare OPOTTUIE.
P R O P. 32. Y H E O R F M A.
eisdem positis, quae in antccedente; ratio, suxerficiei unius solido
erri ex tali rotatione ad superficiem alterius solidi ex eadem ce-
niti, componitur ex ratione directa perimerrorum fieurarum e
ex ratione directa interceptarum inter cenrra cranitaris perime,
hrorum ex axesrotationis.
Fad