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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 18
# Folio 10r, page id 00068267:0019
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068267&page=19
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# Lines: 36 recognised, mean confidence 0.97
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tat
Ratio eadem ex sola simi
litudine sumi non potest
exempli causa diametri cousi–
dera consideratio diametri AB
respectu circali ACDB eadem est quae
diamet ri EF respectu circuli EGFH, et
tamen dici non potest rationem circulorum
ad suam diam etrom esse eandem, alioqui
si foret AB ad circ. ACBD ut CF ad circ.
EGFH foret ABEF eite permutando,
AB ad EF, ut circ. ACBd ad circ. EGFH seu
circuli forent ut diametri, quod falsum est
sunt enim ut diametrorum quadrata.
Manet tamen verum, si itaque similitudinis
ratio itaque opus est ut similitudo locum
at ea
indicet rationem eandem, opus est,
quorum ratio esse dicitur sint homogenea
Sed adhuc nova occurrit difficultis
est AB ad BC, ut AE ad BF
nec tamen ABC simile est ipsi
recta ABC similis est spatio
AEC
generalius Rationem
eandem dici, cum duae quanti tates homo
cendum ergo et
geneae una ex alia sine tertiae ipsis
homogeneae interventu eodem modo
determinantur Hinc ratio est numero
quo exprimitur una quantitas posito
ulteram esse unitatem.
sunt
ratiames
seu mor
sunt suu