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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 72, page id 1047377675:0088
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

673
55
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05
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ariet proposri base; es alritudo intercepta recta inter centrum
cravitatis baseos es communem intersectionem baseos es plani se
cantis.
Inc cedem figurae, quae in ancecedente: super hsura
AB (cuius gravicatis cenerum C) concipiatur cylin-
dricus rectus sectus a plano basem AB Ceminormaliter
lecance in recta DE: dicorruncum eius inferiorem aequalem
cre cylindrico super base AB habenei alcicudinem F. C. 50,
lidum rocundum orrum exrocarione Agure AB circa rectam
hnius. DF aquale cs cxlindrico cuius basis AB e alcicudo circum-
23
uiuss
ferencia radii FC; acque idem Colidum rocundum clt ad
eruncum inferiorem cylindrici recti super AB relectam a
planobalem AB Ceminormalirer secance in rectA D F uc cir
cum ferencia radii C.E adradium C F; sed cylindricus cuius
bas AB _ alricudo circum ferenciaradii C F seu praedictum
Colidum rocundum eCt ad cylindricum cuius basis A B ec a]-
cirudo F C, ve circumterencia radii BC ad L C; e proinde
eruncus ille interior relectus aequalis cs cxlindrico cuius
basiS AB e alcitudo F: C, quod demonstrare oporruit.
P R O P. 38. Z. HI F O A F M A.
Si cylindricus rectus secetur Plane ad basem seminormali: superf
cies trunci inferioris aequalis erit rectanculo; cuius basis est pe-
rimeter baseos cylindrici es altitudo intercepta recta inter cent
trum eranitatis Perimetri baleos es communem inter sectionen,
baseose plani secantis.
T(dem policis quae in anrecedente, (IE C centrum graui-
catis perimerri baseos AB. Dico superficiem erunci in
ferioris aequalem esse rectanoulo cuius basis est ambicus A-
surae AB ee alcicudo recta F. C. Superticies Tolidirocundise-
niri exrorarione Agurae AB circa D F aequalis est rectansulo
cuiuSC