# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0186
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0186?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 102, page id 834940469:0186
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=186
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000186.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.

eg
1O2
CX, = FY2 xHO; de proinde POLiCA E Y prima  C Y seCUn.
dos erie NOquorca continue proporcionaliums ec id eo Agu
ra BOT cA ad rectangulum DV, re conois parabolica (cuius
basis est circulus BCOG) ad cylindricum parabolicum ilti
conoidi circumscriprum, cumque deneur proporcio conoi
dis parabolicae ad cxlindricum sibi circum scriptum et re
ctangulum D V, dabitur quoque Agura DOT, et ideo pun-
ctum quoque Z; d ideo datur in lemicplindribase eius cen-
erum aequilibrii; ee proinde lemicylindri cenerum grauitaris
eric in data perpendiculari ad balem c cenero aequilibrii ex-
cicaca, deque idem gravieacis cenerum est in rect a Ca ducta
inter punctu O_ amediuns punctum rectae A B ex puncto B
huius, basi BC 2perpendicularis, suppolica nempe crlindrum esse
sectum a plaro baleos planum in recta PAlecance; Acisitur
VERC ad CL. ita Qa ad ad, cric dlemicylindri centrum sraui.
edtis, quod inveniendum erat.
In huius62 docebimus aliam mechodum inveniendi prod
POTTIONEM INEEF DV EDOT.
P ROP. 54. ZFZ EORF M A.
le paralelogrammum ABIR, Sicque curra ACItalis n2-
curae, ve (ducta recta quacunque DE parallela e aequale
rectae AB curram sCCANEC in C) raTIO AB adFC SE mulciplio
Cdca raciONIS A IE ad A L inracione P ad . dico paralleton
BTAMUM ABIK esC aa AGuram AC. ILE VE P ik G2d G. produ
EAEUF ReCta IB in Co _E IVIHOACUF CUrUA AHI C calis naEurAe, VE
(ductarceta CFFanSenLC CurvaM AC I in quolibet puncto
C_ ductis parallelis FC, FHI) recta C HIlIC aequolis e Pa
rallela rectae FF: manitellum cA exhuius 7 rectam AF. ad F F. 3
TeuLC adHC eHse reP ad O cumque hoc semperhae, cuin
dens est scuram AC IB esse ad fguram A C LO FTVE P 2d
deque ex huius Fr figura ACIOHI eAt ae qualis Apora AC IK,
e ideo sigura AC IB est ad figura AC LK vE P adt C, de COm
PO.