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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 16
# Folio 8r, page id 00068013:0015
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10 
38 XX oa
e
Divisor k dividendus 1.
10X + 11 20XX + 2IX f 22
20 X R+ 2IX + 224 + 2
 1x
quotiens
dividenius 2
F2I X + 10, 22
squotiens
a quotirus.
+10. 21X ( 10, 2X+ 10. 35+104,X
dividendus 3
 11. 11. 30 -H. 10
possunt imposterum quotien tes omitti, quia primo
20X AL LRX +23XF24
=1t. E - 1 = 1. 10
210X) 41. 10 411. 21 FH. 13
10 -14
divisor WX +IF
Dividendus 1
20X +UX, 2XLX+24
2)
dividende 2
+10. uX + 10. 28X+16. 24
videndus 4
Oividendi ubius iidem ot
+18. 23X + 18. 24.
+10.1F. 2.
Retid. Refid. 120. 24
sufficit per dividendos intelligere priccios ermines seu
= 15. 11. 23
= 10. 113. 11
quotientes) nam reliqui non variantur nisi multiple
caudo per potentias ipsius e0. Arta residuus ise est
inter pricu huqu disconi consentit ultum dividendo
An quatituli prspe mas horsionis
(0X + H sividuntur
+20XX +10, 20X
18. 21= 11. 10
16.10X + 10. 11
t21X +10. 2a = 11. 205
Resid 28,: 10X 41
+e2X 10.22 = 10. 11. 2 + 11. II. 20S
21 1918. 23 - 10. 1I.  + 10. 11 (- 18. 20, :10.
protiens +idililitis
11Oux 410. UX + 1023X +24
dividendus 3
divide BE quotrens
quot. div.per 10
-113. 20:10 710.22 X ( 18. 23 piorid
= 10. 11. 21.
F I1. 11.20=
=10, 11. 22
+ b. V1. 2
+4220
(0. 20 X
2IX f 1O: 2 = 10. H. 20,X
20XL3IXHXI3. AZOXE) div. perio
sividendus
dividende2
diviper 10
termino.  dividendi consentiunt nesid HB. 13
1ad. Ite
F 20X(1 18
121(2073
F b. 1I. 20)
11. 20
+o. 
divident. 20
Retid + 22)1, 5. 27 - 10. 4. H + 11. 1120,. 10X
=1. 20. 
sansitns
Divisor 10X + 11
vore
= 10. IL.H
ost
Quarientes lont aggregata residu
Quotientes sunt aggregata residuorum ante
riorum.
A B C
ABCdEFG
MIBICIdIEIE
EA2B2C2d 1E
315B) C3d
B- 1 A = _1A
ime sufficit enumerum
loctente et residuos C- 12A - 1A = 1B
10 10
+40. 2L- 1120
aponatur ChaEdivitorC 10X + WX + 12X + 13
geotens
diviter diridendus1
10x + 11
20X+ 21 Resud. 10. 21
quotiens
10XY
1OXXLUX+
20XX + 21X +22f
= 26XX = 11. 26X
10. H1. 21
2+ 112. 20
Conseoliuot pasidui  divitionum 20 X ete per tox et et 20X et
218. 1690
per 1dk ete, et 20X et per 10Xl
Et goneraleter
ivisohis et dia denl, cabine divisones resiandum eumem,
nisi quod un inferiorious cbanescunt merbra habentia literas quae
in inferioribus desunt. Unde et Residuorum Terminiquem
eul primu primo, secundus secundo etc. sed inferiores carent
ultitur, penultimo ete. quia ex hi exliteris s an
fevis rosteriores.
coifficient e ipsies X quuad utugratorem, tunc
eriduns in eadem divisione est continuatio Quotientiss rcepta differentia
abAtratas ab X
ubique habentrus
in X et 10 si ais X vel eiq po si nu ofids
Primu primu secundus 2d0 etc. Et genermliter divisionum,
in quibus eadem differentia mxi prirorum ferminorum
et e potentur, et unumquemque numeratorem dividas per altissimam
ta quam habet potentiam ipsius 10
0a+ 
=A. 2I 11. 2t. ID q 11. 30
+ mtta v: W + 11. 1I. 21318