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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 103r, page id 00068194:0205
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sic Triscerptiones absolutae numeri-
S+ItI 4+2+1 34341 2+4+1 1+5+1
4+1+2 342+2 2+3+2 144 +2
341+3 2+2+3
1+3+ 3
2+1+4. 1+2+4
1+5
15 = 5 vitit subtrahitur qua hae
nullus numerus semel
In Numero 7 trigeminatur nullus, (quia 7 non est divisibilis per 3)
 geminantur 1 et 2 et 3 nempe 3.
Regula hoc est: A Numero quaeratur Triangularis, cujus radix
est numdius datus binario minutus, ( sic 7 = 2 est 5, tiuius trangulanis
est 15) Ab hoc auferatur numen geminationum Trigeminatioum.
in teger
il est seu a- 2. a -1. hinc detrahatur B. si quidem est erationalis
Hinc detratatur 1. si quidem est a divisibilis per 3, sin minus nihil.
Residuum dividatur per 3 sic a - 2. a -1 - a vel o hoc loco 5
1.2. 3
apel 5+1+I  3+2t2. e33. 1244 Ab his auferantur
inde auter fiet
4+244
lo his auferantur geminiti nempe i in quibus geminatur
unus numerus qui sunt dipse numerus maximus integer in dimidio
quorum namerus
ipsius numeri colentus seu a a - oveli, ere residuns eut
summa igitur
numeus ectum qui non geminantur
formam hiscerptionum correcta a repelitionib, c
pomus numerus lingeminanbum, hoc loco Ovel 1. prout S.spe non stvel est
i
numer geminantium nempe
Denius nmem irrepetiuil repetentium,
qui est....
en qui est
a= ovel  prout a est vel non est dioisib per
ads Mont a non est oel est
a-E. a - 1 - ovel 12 - a - o vel 1: 2
1. 2.3
q - 2. a - 1 = 0vel 1. E - 3 a = 3 ovel1
1.2. 3, 1.2
seu qui est aa - 6a + 1 - o vel 1:2 + 3 ovel1
divisib. per 3
horum trumgei geminorum, geminorum et smplicium summa est
1. 2. 3 , 1. 2
aa - 12a + I  + 3 ovel, - 11 0 vel1
2.
a - 2. a - 1 - 0 vel1. 2 a - 0vil1 a- vil 1 4 0 vrl
yt. 2.3.2
aa -3a +2 - 20 vel 1. AD, 3a -. D0vr1 + 12 ovel1 : 1. 2. 34
aa +2 + 10,0vel1 = 3 ovet 1
aa + 3a + 10 Ovels60vela
ubi si a divisibuger 3 tit 0 ila = 1
2
qui est numerus
iisterptionum
numeri a