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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 28v, page id 00067970:0056
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# Lines: 59 recognised, mean confidence 0.93
# 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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vel si rem magis sm characteristice
enuntiare libeat:
6d. EydF 1 d. A∞ rd. B0yd. Cada
5d6. d (2)9 d (F) , 2 d 13d
A ∞ xd. B ∞ yd C ∞7d
ABp AC AB p BC
erit AB  AC + BC
Nam sit X ∞6
erit A ∞6d
 y. ∞ 12
B ∞ 12d
tam bd Bp 6 6d. 2d p eC 6dC.
Ergo C non ∞ 13 d
Eodem modo 6d 12dp  12 dC
Ergo C non ∞ 5d.
Si C non ∞ 13d et C non ∞ 5d. et tamen CZ ∞ Zd
Ergo C ∞ od.
Ergo 6d (E)yd (F) 12d  A. D a a(Dc (F) b ∞ Ac B
Ergo AB  A + cB Q E, D.
Ergo ABH AC+ CB. Q. E. D.
jam Ac. B p AC + CB (totum omnbus partibus)
et ACB p AB per (12)
Ergo AB pi AC + cB.
3.2.
Ua (15) a Duae Rectae aequales congruce
sunt.
sit Ac B H sdF A DE B∞F
(15) Duae rectae sunt similes inter se
AB sim CD; 
salet exterminis
nam similia sunt, quae ex primisis intellecta
discerni non possunt. Ita duo puncta similia
sunt, ita recta rectae similis AB, ipsi CD
nihil enim non enim diversa in uno ut int
exprimuntur, quae inter se conferri possint duo enim puncta A.B. quibus recta terminatur
at in Triangulo ABC, DEF conferri possunt illir
AB, ABC AC;  hic DE, EF, DF, quod
Si diversa quo diversitas deprehenditur
ubi siqu quod si hac cllatione discerni
possint dissimilia sunt. Hinc manifeste
patet cur recta rectae sit similis
quia per sola extrema determinatur ex his
autem stantum simt consideratis pulla aritur
collatio, nam punctum punsto frustra confertur
(16) Duae rectae aequales congrua
sunt
A∞ E B∞F, Ergo AB∞ EF
si ABH EF. Ergo A.E potest ∞
potestiteAt ∞E et B∞ F
si A∞E et B∞ F erit AB ∞ EF. per Z. et 12.
Ergo si AB∞ EF potest esse AB ∞ EF
seu AB. EF sunt congruae
cum coincidere possint imutiliter
SB nam bina puncta ab aliis binis punctis
solo situ) inter duom illorum binorum inter
se (seu distantiae) a situ seu distantia,
harum duo rum inter se discerni possunt
quae si  quod discrimen ubi nullum est
blo loco differunt, alteoque coincidere possunt