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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 5
# Folio 3r, page id 00067964:0005
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ecta est quae duobus punctis in ipsa positis determinata
est. Hinc sequitur:
Rectam rectae esse similem. AD.
partem rectae esse rectam.
A puncto ad punctum dar rectam, eamque non nisi unicam AB ∞ AB
Duas rectas non habere segmentum commune nisi
de
silise quae scilicet productae non coincidunt, non habere
segmentrum commune,
omnem rectam in infinitum produci posse, utrinque
in quavis recta quantum satis producta aequalem
posse assumi datae rectae finitae.
Rectam non posse recurrere in se
rectam esse brevissimam a puncto ad punctum viam.
si d punctum D eodem modo se habeat ad puncta
et ambo D et C omnia
quatu ponantur esse in eadem recta, coincidere (et D.
A et B quo punctum C
si
signum coincidentiae sit
si congruitatis
similitudinis
aequali tatis
4
X
A majus B sic scribetur AAB.
B minus A sic: A
7B.
cA ∞ D A C. A. B ∞ D. A. B et ideo C ∞
erunt A.B. C in eadem recta
A B
 CF si ambae rectae.
si AB I BC ∞ AC erit erunt
Si Y. A. B  C. A. B. locus omnium Y erit recta.
6
d  si posito Y. A. B. determinatum est Y. locus
omnium Y. est recta transiens per A. B.
si
. A. B ∞. C. A. B. locus omnium Z est arius circuli
rmobis
oua
itque ent recta transiens per AB3
et immotis A et B. sit immobile Y erit Y id eadem cum ipsis
recta, sinimmotis A et B mobile sit Y. locus om successivus ipsius F
erit circulus cuis axis euit recta transiens per AB.