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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 5
# Folio 13r, page id 00067964:0025
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Axioma
Determinata sunt sud retationis unica
Determinatum ex determinato detrerminalu
lt
des
ex determinante. Sitee defermiex A, B deter-
rectam
rectam
minet Y et B, C determinent Z. et Y, 2 deter
minent V planum; etiam A, BC, determinabunt
V planum. Est. velut causa causae, est causa
causati
determinatione
E vi hujus axiomatis in omni
xidmate pro determinante substitui potes
determinans. Sed non contra
sit determinatio
definitus
nisi mutua
qu cujus situs ditus 3st ad determinant
definitu
xsa
ejas situs ditu est determinatum. Situs
autem dat inter ea datus intelligitur
si
quod connec quae junguntur recta extenso
congruente ad datum quorum omnia jungen
tia congruunt datis
uno monente immoto
si omnibus praeter unum
quorum diversi situs sunt congrur
inter se qua (Definitus autem
situs esse intelligitur cum situs inus
A
diversi congruere debent inter se.) sensus est
si A. R ~ A. (R) definitus erit situs R ad A
 idem est si B R ~
eAB
et
A.
sit A. R ~ A. (R) et A. R ~ B. (RD et
A. B. A A. B. V un. erit
Y. (R) V Y. R
AC definito A. IR. Dato definitio
Si A. B. Y odat A. B. Y. un seu dato situ A
 A si datsi A, B determinat Y idem est ac s
diceretur datis A, B,. et dato A. B Y datur Y
aliud est dari aliquid ex aliis datis, aliud per ipsa
determinami, seu esse sui ad ipsasitus unicum
quomodo hinc vicissim conclusemus Ergo datis
et dato A. B, V datur B. sed hoc
melius apparet ex ista enunbiatione: A, B, Y esse sua