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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 13
# Folio 20r, page id 00067974:0039
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067974&page=39
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# Lines: 37 recognised, mean confidence 0.94
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Recta idem est quod sectio plani
utrinque se habens eodem mqdetam
si ponatur planum soctum
Corollat. itaque datom secto plano
segmenta) M, N, sumaturque an
n rectem transeunte per puncta A, 
sumtoque in segmenta  M rectaC
punet segmentro alterutro M, punctum
eadem recta duo puncta AetB
et in segmento M, d purcta
e punctum C necesse est
in altero segmento Nt reperiri
punctum 1 semanturque in eadem
recta puncta quel unum se plura
velt es quot labet, A, B, C; et 1n
alteratio segmento velut M grodiam
sumatur pudctamE extra
 reperim
necesse est in altero segmento N
punctum F eodem modo situm ad puncta
assumta, A, B, C; ut E. adeoque re ad
congruentias reducta erit AE~AF, et
BF et C. E ~ CIF et componendo
A. BC E ~ A. B. C. F et si recta vocetur Y
DE
 erit Y. E = P. F, et pro loco Y sumendo
quotcunque punctum Y. E ~ Y. F et in uni-
eps
versum Y. M ~ Y. N. Et Su, V. M  existit
idem est
lopod N, sic ut sit N. Y ~ M. Y.
si invertas M et N permutenus.
Elgora itaque nullum punctum
extra rectam, est sui ad rectam esitus unicum
 item nullum punctum es extra rectam
est sui ad duo in recta sumta puncta situs nicum
et nullum punctum