# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0100
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0100?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 84, page id 1047377675:0100
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=100
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000100.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.90
# 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.

84
vicaris Agura ABSO ee curia A 9 eodem inceruallo distane
recta AB, quod intervalIum AcR: cenera quoque gravicatis
recta AO _e rectanouli ABRO eodem inceruallo distane a
huius. recta AB nemBC BK, aEque Agura ABSO eA ad rectangu-
35
tuius.
lum AB R O recurVa AC ad rectam AO, _ ideo primam e
terriam ducenda in circumferentiam cuius radino R, et se-
cundam ee quaream in circumterentiam cuiusradius BR; erit
Cxlindricus cuius bass ABSO ee Altieudo circumferentia ex
radio r nempe lolidum rocundum genitum ex roratione A.
Gura ABSO circa A B, ad cylindricum cuius baliS ABR O &
altieudo circumferencia radii ex nempe cxlindrum genieum
36 CxrOTatiOnE ABRO circa AB, Scur rect angulum cuius baAS
huius. AQd alcitudo circumterencia radii R nempe superticies gc
NIEA CKFOEATIOnEA O circa AB, ad rectangulum cuius balIS
AO _ alticudo circumferentia radii BR nempe circulUOx FA
dio A0, quod demonstrare oportuir. 2
P X O P. 44. Y H P O R F M A.
ICFgura quaecunque BCF cum rectangulo circum scripro
 ABED, quae Alibrentur ex recta BF; dicomomeneum
rectanguli ABED ad momentum Agura BC F eNe ut cylin-
drusfactus ex rerolurione rectanguli AB E D circaB F. ad
Colidum rorundum Factum ex revolutione BC F circa can-
dem BF. Sic rectae AB Parallela e aequalis quae cunque FHL
tiguram BC F lecans in C: bisecentur rectae F FI, CFI, in pun-
AtiSO, P; manifectum est momentum rectae FH esse ad mon
mentum rectae CHI in ratione compolira ex ratione L FI ad
GHa exratione OHTadDH, hoc est in duplicata rarione
FH ad CHI (en uE circulus ex radio FH ad circulum exradio
CHI, cumque hoc semperira ereniat, e primae de terrix lem
Det
Det