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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 16
# Folio 10r, page id 00067978:0019
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.87
# 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.

ut
aelerum duae
ea eatiomet, quod ita ostendo, quoniam alioqui si angulos reso
resaespondentes seu homologos non e haberent aaquales per se sigillatin
erfeerni, ossent adeoque congruos; tunc per se sigillatim possent
discerni, nam  (enfigus. 19) angulus A non congruat angulo (A)
alia erit ratio DC ad AD, quam PN ad L P. ina sumto ADL AC
hinc sumto A_ in A C sumendo AD = AB et in L M sumendo L = LN
sumpendoque illic. et jungendo DCIB, similiterus in (A) (C) sumendo
A)(d) = (A) (B) et jungendo (DB) non erit eadem ratio (C DB ad B AB
quae (D) () ad (A) (B) ergo vel htac discerni ossunt ABC et (~ (8) (C)
ee
efransusa sa
Contra si anguli omnes sint iidem figura ips esse somilea
ex eoostenditur, quod datis omnibus angulis dita ostenditur sit
vata sit figy  ABCd fig. 18) Cui similis debet construi
M NP quia ex dato uno satere et omnibus angulis datur
tiansulim, sunt autem latus atori simile, et ansulus angulo
rrgentieergoc congruus; utrumque ergo trianguluta ex similibus
oe
ei et conginis eodem modo determinantur; adeoque similia sudt
Hacanlemearte quot autem alerum At Tetragona simnlia
pentagona, al etc. similia efficienda. sive in plano sive in
soludo) non tantum opus est unam rectam et ausu omnes angulos
esse similes, aequalesi quia ex uno latere, et angulis omnibus
it
non statimi datur polygonum  trigono altigat altius; et ideo
quot lateribus opus est ad tetragonum cum comnibus ans pegtagonum, etc
cum omnibus angulis datis determinandum, eorum laterum etiam
ratio eadem assumi potest quae in Tentragonoet polygono alio dato;
atque inde angulis sex istentibus iisdem constrni posimilis est figura
2t.
quoniam ex his lateribus et angulis etiam construi potest figura;
1
e in universum, side omnia latera  omnesque omnanta, omne squ
inguli sed aliqua tantum latera daliqui modo data sufficientia
sint ad constinendam figuram et problema ex ipsis sit vel penitus
determinatum, (vel ita semideterminatum s ut plura salisfacientia
sint congrua aut similia inter se) tunc sufficit in his natis
s
nullam peisse
notara similitudinem, sad atque adeo antulos itrobique
xlatera autem reppontentia data utrobique proportiualia
ut figurae utrobiq an utrobique similes oriri cognoscantur.
se aequal
quod si autem duarum figurarum similium duo Romolga sint
aliqua vel semel sinta congina, reliqua omnia esse congrua
Ex coincidentia autem una homologorum
coiucidentia omminado colegi uoa potest sed pro matuia fipparema
am supra motatum est
ess
Chopus est
fiy. 29
(recta
scilicet omnu
omni rectae)