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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 56, page id 1047377675:0072
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=72
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.88
# 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.

24
huius
5C
eiem solidirotundi orii ex smili alterius crlinarici baseos rota
tione; est composita ex directa proportione radiorum rotationis e
directa proporrione superficierum truncorum inferiorum.
curae ee praeporario sine exdem scur in antecedence.
Dico superticiem Colidi rorundi orti ex rotatione Aou
ra DC circa C F ese ad superticiem Colidi rocundi orei ex
rocatione Agura Z XY Circa V Sin raLIONE COMPOHEA EX PrO
portione superhcicierunci 34CD ad superkiciem erunci 567
YXI _ ex proporrione radiirocacionis L P ad radium rOca
tionis erT. Racio superticiei Colidi rocundi orti ex Agura D
Cad superticiem Colidi rotundi orti cz HourarX Y est com
Polieas exratione superticiei solidirocundi cx DC Orri2d (u
perticiem crunci 3 4C D, exracione luperhcicierunci 34C
Dad supertciem erunci 567ZXZ, Q exratione superticici
trunci 567ZXL dd luperficiem solidirocundi ex Z X Y orri;
sed ratio superhcici solidirocundi ex D C orti ad luperticie
crunci 3 4C D eR aequalis racioni circumterentiae circuli ex
lemidiamerro L F descripei ad IL. alcicudinem cxlindrici: et
rario superficiei erunci 567 YXL ad superhciem lolidirocun
di ex YXL orei eR aequalisracioni des seu IL alticudinis c)
lindrici ad circumferenciam circuli ex lemidiamerro T ex de
scripei; e proinde racio, superticiei solidi rorundi orri ex L
C ad supersciem solidirorundi orei ex Z. X X, Cs compOsI
exratione superficiei trunci 3 4C D ad superACICM ErUNC
567XXZ, exrarione circumterencix circuli ex lemidiame
ArO LE descripei ad rectam IL, ee exratione rect ae l L ad cir
cumterentiam circuli ex semidiameero T_; Ped hae dux po
Aremae raciones componune racionem circumferenria cis
culi ex Comidiamerro L. P descripei ad circumferentiam cit
culi ex semidiamerro Tes de scriptis quae eadem cA cum ra
eione semidiameeri L P ad semidiameerum Fe: e proind
superticies solidirorundi orti ex rocarione AguTa D C cIrCI
aXem FC est ad superficiem Colidirocundi orti exrocatione
Aigu.
c
ita