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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 15
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§. 3. Contra non omnia Triangula per situm
trium punctorum determinata sunt similia inter
se. neque enim ABC similiter se habent ut LMN
Potest enim Detantia AB. ad Distantiam BC aliu
rationem habere quam Distantia L M. ad distantiat
MN. ita ut in determinantibus sit dissimilitudo.
ex quo patet etiam in duabus Rectis lineis tria
pucta tribus aliis dissimiliter sita eligi posse.
Nam similitudo a determinato reciproce tantum
valet ad pure determinantia, non etiam ad ea
quae sunt plus quam determinantia.
Sic, etiamsi Circulus determinetur per tria
punita peripheriae data, et omnes Circulos in
ter se similes esse miume sit negandum, tamen
hac Consequentia non valet a determinatorum si
militudine ad determinantium similitudinem, quia
Peripheriae tria puncta data plus determinant
quam ipsum Circulum, scilicet etiam certum Angu
Cum in segmento, et tres partes peripherice deter
minatam ad totum Circulum rationem habente
At contra si Circuli duo determinentur
per datas duas Chordas e per aequales Angulos
in segmentis super Chordas factis, tum demum Circuli
non solum similes erunt, se etiam similiter deter
minati.
Hic autem questio nec de tali quidem
determinatione est, sed saltem de primis d simplicis
simis determinantibus, quae ubi determinata, fiunt
somilia, etiam similia esse debent
Si vero contingeret, dissimilia determinatia nihi
lominus dare similia determinata, idipsum certo
inditio est hanc determinationem non esse sim
plicissimam, sed aliam dari simpliciorem
4. Uti Magnitudincum Logisticam seu
Mathesin generalem ad calculum reducimus uti
murque imprimis rationibus et aequationibus, ita cal
culus quidam in situ institui potest per similitudines
s congurentias
N.