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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14
# Folio 28v, page id 00067976:0056
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.93
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si punctum d sit in eadem recta cum duobus A, B, recta
tus duobus terminata vel eadet in rectam his
duobus terminatam, vel in eam productam
sun pa eBt
in A
(2) si rectat producatur; et ita ut terminus post
productionem A, remotior sit ab_ aliquo rectae
puacto in eadem recta puncto D, quam
terminus ante productia em B, et continuetur
poductio, adhuc magis removebitur, ter minus
inis
secundae productionis F. quam primo A
3) Si recta A BC producta ex E cadit in D
B non cadit in D necessario producta ex L cadet
(9) Si punctum D in aliqua recta positum non cadit
in
in aliquam ejus rectae partem, et BC, et nec p
pars haec producta per unum extremum B in ipsum
incidit producta per alterum C in eam incldet
1d  flinc
BC
(4) Si pl iisdem positis, si pars pro ducta per
patet ex a
unum C in punctum extra eam in eadem
recta positum d incidit, productum per altem
extremum B in eam non incidet. Patet exheri
si recta producatur BC producatur
ex uno extremo C in D major erit distantia
5
termini productionis a termino non producto
lovi
termini post productionem C a termino
permanente B quam termini ante productio
nem ( ab eodem permanente B. Hoc patet
ex definitione productionis B nam producere BC
per R in d est facere BC + Cd ∞ Bd. Hinc
videtur Xt demonstrari 2. Nam sit CB+BA+ A)
CB + BA~ CA et eN BA + AFD L F ∞ BF et sit ADpBD
ostendendum est fore A FD NAD scil. si D non cadit in AB.
6nempe si AB non HD+ DB et ADABD erit AD AB+Bd
Nam si Ad pBD erit AV+ VD∞ AD ut si AV- A VD = BD
jam AB non AV+ VD. posito VD=Bd