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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 2
# Folio 14v, page id 00067961:0028
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 15r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.94
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

si sit determinata
Recta est ABCBtI A, AB)A+A C5 ABC
erit de AeA Recta.
contra intelligo autem per dA eA qualibet duo quaelibet puncta ipsorum
ipsorum A.
Contra: si sit d AeA recta erit
etc. A2AB3A4 AC 5A Hsc determinata
Ergo si sit +A3A recta erit A A
(quia e omnibus omnium determinatoum
punctorum eadem ratio est, sive
d A e A de quolibet intetli potes B
determinatorum punctorum intelligi
potest) id est si totum
jam si 1A3A est recta etiam 1A2A3A
est recta (nam eadem linea est
1A3A et 1A+ A3 A vi nost ae charactenisticae
Ergo si pars est rect totum est
recta pars est recta. (Nam ionomo
1A2A2A est totum 1AL A est pars)
D Rec
B f A C est determinata, seu ex
datis BC unica, (per definitionem determinati)
Ergo  si sit B fAAC et BgBBgE
 rectae coincidunt seu duae qualiber
recto B C coincidude seu inter duo extrema non nisi unica est recta
Cum dico etc 1A2 AB3A+AC5Ad esse determinatam
si dAeA est recta, (et puncta BC, hoc enim subintelligitur
vi characteristicae sunt data) hoc
dico:  A2A B3A+ AC5Ad
et E2EB3E4EC5E c. coincidere
Duae rectae non habent segnientu
commune:
sint dec 1A+A
seu quia ck A2AB3A+ AC5 A etc
et etc. 1ErEB3 24EC5E coincidunt,
etiam 1A2ABCEA et E2EB(SE coincidunt
adeoque non sunt duae rectae