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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 2
# Folio 8v, page id 00067961:0016
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Si punctum A moveatur  putum
 a puncto B versus punctum C. simplicissimo
modo, sive ab his solis duobus  punctis
determinato erit motus in linea recta
Nam si alia praeterea puncta assumi necesse
Simplim Hinc si sit linea
sit ad determinandam speciem motus, non
erit ille simplicissimus
Hinc lineam rectam ita exprimemus
cham tere literis:
SiBAC et BDC sint congruae, et
ides ejus speciei, ut eo ipso coincidant,
erunt una eademque linea recta
quia extrema coincidunt, species
illa lineae dicitur esse recta.
Unde statim sequitur duas rectas non
habere duo puncta communia, nec
proinde in se redire sieu spatium
comprehendere.
vel sic: Si omnes lineae BC (nempe
BAC, BDC, etc) sunt na eademque recta
ejusdem speciei sunt linea una eademque
ejus speries lineae dicetur recta.
nod (
Ex eodem demonstratur non posse
esse ducarum rectarum segmentum commune
nam sit enim eBc segmentum
commune rectis Bed et BCF, pone
punctum A moveri a B versus C, et
ultra, utique per defini simplicissimo
modo, utique per definitionem rectae
eo ipso determinatusest ejus motus
at ultra C non est sed hoc loco non
est determinatus, nam ultra C non
apparet potus stuncti A debeat ne
tendere versus D an versys E, non
sunt ergo continuatio ejusdem rectae
Has duas propositiones comprehenderem
possumus in characteribus hac
una: Cd cet C
 DBFC GdC coincidit ipsi _ D HBKCL ec.
id est si duarum rectarum indefinite productarum
duo puncta coincidunt, omnia aliis coincident
An melius sic:
se purca ed 1
si punctum D ita situm sit ad puncta
duo B et C, quemadmodum punctum
F. futum est ad eadem duo puncta
fi punctum D et F congrue sita sint
ad puncta B et C
si punctus situs, puncti D ad puncta B. C.
congraus sit situi puncti F ad eadem puncta B. C
et i  ob speciem lineae in qua
cadunt puncta D. B. C. ac lineae in quam
cadunt puncta F. B. C. erunt coincidant
D et F erit n una eademque recta.
a