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# Title: Leibniz-Handschriften zur Physica LH 37, 3
# Folio 80v, page id 00068532:0156
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068532&page=156
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine
# Lines: 72 recognised, mean confidence 0.85
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Angulus FMd rectus
GMC
FMY
quadum curvae
recta s De parillela.
rectae M tangenti
P sit ratio data constans
GmC
quaeritur natura curvae
Majoris aequitatis causa rectam
tancli parallelam ducamus neque per F
neque fer G. sed per e punctum medium inter FG
ut utrumque punctum fixim eodem modo tractesue
vel si geomatricu ut ita dicam aequitate oblinere velimus
ducemus parallelam non per a vel B. sed per y. ponendo esse an ay ad By
ut Fae ad G(. Nihil autem ad summum rerum refert quodn
quaenam ex tot diversis c. d. eligamus. Sed satius erit ea quae respondent ipsi y.
sumi ita cenuim Triangula similia varia commodius comminiscilicet.
sed quantur quomodo curvae. quaesdo naturam inveniamus. debet
esse FM md  datae a
Gm. MC
MD
m
nEA
Ad ceaug eatem curvae ducatur perpendicularis M8 ed. Habebiimus
sit apb, fier C H FM
erjangula similia nerquot: mel. Fova M)  MC. (FN): VM: Me. M: vC
e MG FC (dF: FM: MC) :: MF: FN: NM:: (CM: VM: 2(C)
ilem G CG: GM: M C:: MG: G_: EM:: CM: M _: TC
quaritur Mo vel Mc
NVM  FNV NC
Ergo NC, MF
CM
VM  NC
CM
MF
M qV C,MF SEOSNE
Cm H
Y FS, _CC, et VC, F N, cm
et a M FN, CM MF
MFY Cn
MF2
L F OV, CM
MF
Ergo aMB F~, CM sed  Fd p F ML OVM
fii aM SFm = m, Cn . seu WM MF Fm -ov m
MF
CM
 seu M, MEV, FF M Cm = A F M, CM
seu oM  FM, CM sed
Alia curvatalis, ut ad eam
eundem faciat auguluu.
MF + CM
emper vectis divens
texempli causa ut sempir
eam eam tanga
v
 A tCM
1
ov PN, CM M
seu
b CM MF o
sed ita fictio perpetur eaderut d non minii
tar, tui sed fia petius major; et quia
perpetuo tota portio curvae tota rectae vecti africa
at prollila
linima frictio eritarsi rectis ducens semper sit ad curvam perpendiularis
sed tunc cum circulus mex vectes centru Tonpatue rectis descriptus curvam no
et
Medium ita eligemus dsi Vectis duvens  semper ad an tingrnlem curvae
tannat, utique non ducet
faciat angulum 45 graduum