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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 55r, page id 00067970:0109
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 56v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.96
# 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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Punctum est in quo proter situm
spectari nihil per se porest loc
quod situm habet paneque est simplex
spatium est ontensum absolute sumtum
Corpis est Solidum
G
a
Extensum est continuum cujus partes
simul exis tunt.
Continuum est cujus partes habe
Temnim commu quaeliber habent
termim est idem aliquod commune.
Terminus
super data recta triangulum
aequilaterum constituere.
seu describere Triangulum
aequilaterum cujus unum latus sit
recta data.
constructio. duobus rectae datae
extremis velut centris, radiisque
ipsi rectae datae aequalibus in eodem
plane describatur circuli duo; qui
se secabunt  quorum peripheriae
sese cecabunt ses alicubi jube
a pun occurrent sibi alicubi, a
puncto occursus ducantur rectae
ad extrema data quae erunt duo
reliqua latera tanguli quaesiti
Demonstrandum est autem primo
quod duae peripheriae sibi occurrent;
deinde, quod hae duae rectae a puncto
occursus sint aequales.
prius ita demonstratur: duo radii
primum coincidunt in fine atque initio
circumactionis, duo radii primum
coincidunt moveantur ita ut maneaat
decusfatid Peripheria hab una habet
punctum intra alteram, nempe in centro
punctumque aliud peripheria dextra
incipit  in punctum sinistr habet
punctum in centro sinistrae, exum ex
centro dextrae aradio cujus intervallum extremm
est centrum sinistrae, describitur dextra;
extremum autem est in percipheria, ergo
centrum sinistrae est in peripheria dextrae.
vel perpheria dextra habet punctum
un centro sinistrae. Rursus peripheria
dextra habet punctum quod distat
a centro sinistrae, distantia diametri
nempe oppositum punctum in peripheria
dextias centio sinistra in eandem