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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 56v, page id 00067970:0112
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 55r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=112
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.97
# 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.

ineae rectae generatio circulais item
si corpus quodcunque moveatur duobus
immota
punctis immotis puncta in mota
incident in
constituent rectam, puncta mota
describent, circulum.
len
ita habeamus postulata Euclidis
omnia eadem opera effecta
Si corpus quod linea flexilis N
 quae in len. non elongabilis
dicnda diducatur; fiet linea
quantum. fieri potest, generabitur linea
recta salva longitudine
generabitur linea recta.
Cum ejusdem rei sint variae generationes
definitio accurata non continebit genera
tionem aliquam specialem.
Linea recta est, quae datis duobus
punctis determinata est, nam in corpore
aliquo moto datis duobus punctis immotis, quod fieri posse ostendimus
recta numota determinata est, quia
non minus hoc p necesse est aliquam
lineam esse immotatu, quia nulla est
puncta
causa cur haec duo tantum existente
motu praesenti sint immota. Habemus
ergo ex demonstratam lineae rectae
exictentiam haec autem linea ex his
duobus assumtis se deter punctis assumtis
est determinata; nam his dubbus assumtis
qualecunque sit corpus determinatus est motus totius
et locus immotorum punctorum et
puncta immota, tam haec duo quam
alia quotcunque. praeter lineam autem
nihil determinari potest per duo tantum
puncta. ) Habemus ergo lineam
ex datis duobus punctis determinatam
id est rectam. Linea recta est
minima inter duo puncta,  nam maxima
pulla datur, et minima sola est
determinata. Linea recta u
sibi congruit iisdem existentibus,
termines seu duobus, ejus extremis
coincidentibus reliqua coincidunt;
ergo seu linea recta est determinata
positione ex datis duobus punctis.
Planum ex datis tribus punctis
determi natum est seu non licf
est in arbitrio alid tribus assumtis
adhuc aliud assumere, quod sit
cum illis in eodem plano.
+seu est determinata
magnitudine