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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 23
# Folio 2v, page id 00068041:0004
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idem aliquis numeus in diversis Cogarithm
habeat non 0 sed alium numerum utrobique. pis
Cogarithmo, detrahendo eum utrbiq a logarcha
utrobique assumlis, erunt residua ipsis 3 Numeris
primariis proportionalia
porro quia d7 aequ  dx + 2+)b: r
et.
fiet t X aequY  )d7: +7 + b
addendo a pro arbitio aut etiam si placet.
subtrahendo, imo et ipsi xsia f
signa variando prout res jubebit Nempet
Si +7(+) b semper faciunt quantitatem
.
affirroalivam, ipsi X demper praefigendum.
signum  nec refert quale praefigatur sgno a.
ipsius
ex his quoque colligimus X, Logarittmum
y. posito b esse . fore:
dy (7
posto ipsas y esse progressionis Geometrica seu
yaeqoZue et b esse aqu. 0. ipsa autem a. nihil suntat
sive sit a manet ertim progressio authmetia
licet aliqua contans addatur vel adimatur
Eadem colligi possunt variis modis, eam
enim in omni progressione Geometrica, differentia
sint teominis proportionales erit dy. ad constante
ax (quae est differentia abscissarum nniformiter
descentiumut V ad atistantem Y.
tangentibus
Aem ex quoaaluns paraboloeidum:
se si sit  4 aequ _ p sintq l’ ordinatu, pab
parabolocidis ut n et a siint exponentes in tota
parmboleide constantes fiet:  m la dl aeque
M.
est superbolicam
m-
qua
d9 aequ. dp.  estalitem
aequ
p. . ergo fiet: Mp dus aequ q ap
1
seu mosdus: 9 aequ sdp: p.. seu fiet:
M l exponens  sive logarithmus spiu p secundum termi–
nam serier 4 ad unitatem cogarichmum ipsius
extit m ∞. 9u1 Z. se hnde
a in 16c2g. ’aequ. loganthimo de P exempligntia + aeq.
curvanoga
ptimicaur
cu ed
ob
Scled. Sequorti