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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 39, page id 1047377675:0055
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=55
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000055.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.75
# 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.

Mit
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Agurae ABC evolurx supra rectam B KL; dUCANEUr ex CCMErO
A arcus circulares C I, TIO; manifectum estarcum C Y maio-
rem esse axe sgura C AHI evolutae d IIO maiorem ese axe R
SUTA FTAC eroluca, acque recta DL maior eA arCU C L de re.
eta lK maior est arcuHO, _e ideo recta D R multo maior est
quam axis Agura C A FT evoluEX rna Cum AXC AOUEX IIAC
cuolura, hoc elt recta DK maior eltaxe figurae C. AC, cuolu-
ta, sedaxis Agura BAC euolurae supCrAEreCtam BKmajore
ExCCHTU quam axc Agura B A C. cuoluex, e proinde axis A-
3C
il
56
IB
Cu
d
li
Ud
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CH
XC
Sura BAC cuoluea mmusaxis Roure BAC cuolure, hoc est;
dRis AgUTEC A C cuolure, maior est recta BR, Ce d ee minor
eArectEDK, quod est obsurdum rects ergo BK non est mi-
nor axe Aoure BAC cuolure, quod demonttrandum crat.
Fix punctoC in recta AB sir perpedicularis recta C F, quam
dicoesse minorem axc AgurE ABC cuolurE. centro A liC aF.
cus circularis O F, quimaior ek recta C. F.de minor axe hgu.
rE ABC cuolure, _ ideo recta C. F. mulco minor est axC figu
rE ABC cuolure, quod demonctrare oporruit.
PROP