# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0087
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0087?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 3, page id 834940469:0087
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=87
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000087.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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.
# 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.

8
AB _e exCeNum reCtEFIK supra rectam RI maiorem esse ex
cessu omnium reCtArUM REI. FF, CA, Emul suPrA CurrAM KB.
DrOdUCANEUTTANSCnEES AC, F F, ad proximas perpendi.
culares vertus X in C _ L. ex primo propolicos AC est maior
curra BC, FF maior curra FC, de FK maior curra HIF; e
ideO Omnes (mWIITI, FF, C A, sune maiores incegra curra
RB: deinde ex secundo propolico BD, hoc est, RI minor elt
curraBC; _ C Cm hoc CA, C A minoc eA AECU FC; de L. F,
hoc est, FB minor CA arCU R F; dE idGO OmneS KI, FF, CA,
smul Cune minores inceora curra RB; e ideo maior cA cx-
CeNUSreCtarUM RFIB FF, C A, SuprA reCtaS HI. FF, C A, quam
supra curram RB; sed recte FB, C A, lune communes uerique
rectarum summe; de idco excessus recte KII supra rectam HI
est aequalis exCCNTUi (UMMX reCtArUM KFI FF CA, CuPTA
summam rectarum XI, FF C A; qui demonctracus est maior
exceNu rectarum KHI, FE, C A, Cupra curram IB, quod de-
monctrandum erat. Si vera curra fuerie conrexa ad rectam
Mes rein sccunda Rgura, _ debec eRe punctum currae a re.
etaMP maxime remorum, ee aliquor demonstracionu ver-
ba lune mucanda, licur per se incellisee industrius L. Cctor.
PROF, 2. ZHFORB M A.
lecurra quae cunque 7 gC D Simplex, seu non sinuola
CE enim Fueric linuolas oporcet illam in plures simpli
ces dinidere) super qua imasinceur superticies cylindrici
recti, cuius altitudorecta R. 2 puncto quolibet curuxe nem-
peo in quamlibet rectam nempe 26 demictatur recta per-
pendicularis 93. et duestur in eandem 26 recta 96curram
perpendicularicer secons in puncto 9. producatur recta 38
in S, uC 3S AuC aequalis recte 96, idem quoque supPOnATUY
tieri in omnibus punctis currae 7g CD, ita ve exrectis in cur.
ram perpendicularibus per propria lud curre puncta ad re-
ctam 26 normalicer protrACIS COnACTUY (BAEIUM RV 82 d
2
CUrVS