# 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 59, page id 1047377675:0075
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=75
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000075.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.84
# 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.

ibl
e
db
in
et
LL2: d Quia erianguIAZR3, XIIq, Tunc Gmi-
alellaSkF, HIS, CAVEX 4 ad X 5 ica XII ad X
105; lea vEX4 2d X3 ita truncUS ABDZ YZ
ad truncum M LI2; e proinde UE ErUnCUS ABDL.Y2 ad
2 itareciproce IO ad OS, quod demon
eistrunci Y
lia PrOPECFF
R, hoc eAt, 10
truncum YLK
atrandum bino
CONSEOTARIVM.
eComponendo FOTUS CylindrICUS ABDML R
A Eltad unicum inferioren YZ ML R2 veradiusrocatio.
nis 1s ad diltamtam incer cenerum granicatis sgurae et axem
utdem nempeos.
P R O P. 30. Z HI F O R F M A.
Fildem postis quae in antecedente; superficies trunei onius est ad su
pciendrunci alterius reciproce, et parres radi rotationis
resectae a centro crauitatis perimerri fieura.
Adem Cic Agura de praeparatio, quae in ancece denres hoc
 TOlUM CRCEpEO, Quod O, P, punetA nUNC SUPPONANEUE
elle contra gravicaris perimerrorum balium opposicarum.
Dico superticiem erunci ABD Z Z2 cNC ad supersiciem erUnCI
2YZMLK, ve reciproce 10 2d 05. A mediis punctis rectarum
El. OS, RempC FI, R, dUCaMEUF reCtX FIS, RF, necnon IIR se-
Cans OD in X; erune iesque incer se parallelsae ee aequales re-
EtX FL. PO; 2S, item FG, HR, IS, ItEM FH, FIS. Ouoniam FR
bitariam secac 1, bifariam quoque secabit in trianeulo F
Sonnesrectas ipsi S aequidistantes, et proin de bitariam
lecabic omnes diamerros rectanguloru in EruNCO ABD ZX3
2plono FIS Onormalicer secatorum; ee ideo transibic per
omnia cenera grauicacis oppolicorum lacerum basi cylindri-
ciperpendicularium rninscuiusque ex illis rectangulis, quo
1L 2
BtaM
rocationis e