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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14
# Folio 108v, page id 00067976:0216
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 109r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 35 lines, status machine
# Lines: 35 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.

unc punctum in recta est suae ad duo alia in eadem
c rcta sumta puncta relationis unicum. Nam
cum debur via unica recta a puncto ad punctum, omne
punctum in eam cadens distinquetur ab aliis extra eam
quod slicet eo eo ipso quod in hranc viam unicam eadit
Ab iis vero in eadem recta eo ipso discemetur, quod
 prius aut posterius aliis attragendum est in hac via la puncto
ad punctum
N Recta est rectae similis. Quia eodem modo
determinatur scilicet ex duobus extremis solis.
Friangulum non est triangulo simile, quia puncta tria quibus
inter se determinatur possunt dissimiliter inter se sita esse
A sic: Idem ex definitione, quia ex ea
nihil apparet unde sumi possit principium discemendi
item sic sit Moventur Sit una recta immota, indefinit
altera umota finita cujus unum pu secans aliquam
superficiem ab in duas partes, et centra N ui, et sit
recta quaecunque translata NP translata uno suae puncto
 in recta LN, na hoc puncto N immoto cuveatur
alterum p ex parte b in partem a necesse est ut
sicet LM in G. Ergo congruet Nq parti recta, adeoque
NP est similis ipsi NZ (namquo congruunt multata
magis similia sunt) jam in recta pars similis est toti, ex
definitione Ergo r Z ipsi _ LM, ergo et N p ipsi L. M.
et emorediatras
An generaliter ostendi potest duas vias sibi
similes, esse similes inter se? iba sane, quia eo
ipso species linea determinatur, ut sit via
te
1bi
imglis. nec quicquam addi oporeet
nam  datis solum duobus punctis per qua sit
transeundum. Et exhis nihil erud potest ex hibens
diversam spectem, seu quandam sperificam consberationem
variibilem,