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# Title: LBr. 437 · Huygens
# Folio 44ar, page id DE-611-HS-3595205:0089
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3595205&page=89
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.79
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problema Hugenus delgravitate p. 155
invenire lineam Pd, in qua
vel D0 ad c
ductaperpendiculari DR, sit OR ad RC
in ratione composita ex data
a ad b; et ex ratione
rectae EC datae ad rectam CD
Dovel 1E,
sit CFX; _8I; jam CD
DF y. fit _ DF: F5 seu y: p:. dgi du
et V ergo FS seu p = dx y: dy
jam  FS: FC seu P: X siu dx y : dy: X = a: b in e: xxry
saciamus aC: b = C _ fiet dxy: dyX = C: TXXFyy
seu +X f Xry dx VyXX + dx y - dy CX
X: G = Z seu X = Zy seu dx = Z dy + y dZ
dx idu = Z + yd2 = Cx: yyXXF
ibiZ
e
 aergus Lyy2
 sin Z= Y. X fint : ax  Z
+
s
2
 dx y rxXtyy = du CX 2
dy -
ax
Elementum log..y. ad EI
am
d log y ad dlog. x ut _ Xx +yy ad C
d
Q= Xdx + y dy
L = X + (y du Y9Z: RCx
seu
d.
ax
= X +
ZZ XX Z: CX