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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 5
# Folio 8v, page id 00068002:0016
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respective ponendo u, 12, 13, 14 et. (ita ex ipsius et valore
numeratore in valone ipsius 31. fit qui ost 10. 21 + 11. 20. fit 11. 21 4 12. 20.)
Dinique notndum esi quod si a in divisore dato sit 20 =0
ve
(vel 20 et 21, vel 120 et
nt
ux
tantum concipiendum est
ac si faisset divisor+E3X ete (vel - 22X + 23X4 24X et
vel -2H x- 23X + 24X +25X et C. Et ita porro). Deinde q
proveniens idem erit qui supra tantum pro 20, 21, 22, 23, 24 etc
respectioc ponem (vel pro respective ponendo 21, 22, 23, 24, 25 et ab 1 utque ad ab  usque ad F
(.vel 22, 23, 24, 25, 26, vel 23, 24, 25, 26, 27, et ita porro) et
+Y  totum deinde dividendo per X (vel per X, vel per X
et ita porro). Idque locum habet sive provaloribus ipsorum
superius prius
231, 32, 33, 34 etc. utamur contractis prius positis, ubi
31 reperitur ex jam reperto 30, et 32 ex jam repertis 31 et 30
cL3 et et ita porre; su et 3) ex jam repertis
et 33 ex jam repertis 32, 31, 30, et ita porro: si ve valoribus
feorum utamur explicatis, per seu per solas initio datas
quantitates 10, 1, 12, etc, 20121, 22 etc.
Quodsi Ut rei coefficientium etiam presiduia valones explicati
invemantum, ommodum erit redire ad exemplum superius
sit Dividendus +10X LX +IX + BX +14X 415X +16X ArXH18
Divisor -20 X +21X + 22X + 23X +24X +
Quotiens +30X +3IX + 32X +D3
Reriduuis
+HXHSK+36X 13IX +38
Residuus
-2X 12X t22X + 13X+ 24X + 25
Et fient valores coefficientium quotientis, nempe 30, 31, 32,
33 etc. iidem qui ante eodem modo ut expressi ut ante,
 penempe erit. 30 erit 10: 20, et  =31 erit 10. 21 + 11. 20, : 20
et ita porro, ut ante proxime in alia licet hypothesi, cum
iidem coefficientes infimis, qui nunc summis potestatibus ascripti
essent. Valores autem defficientium Re in Residuo
et ipsi fient iidem; perinde ac si 34, 35 quoad numeratore
st
ac si
valorum perinde a ter
datorem, perinde ac si essent coefficientes in Residuo, esse t
dcontinuati coefficientes in quotiente; hoc uno tantum excepto
quod ubique pro 20 quod poneretur in Quotiente, ponitur in Residu
10. 21
33 = 10.∞8. 29  + 11. 20. 22 + 12. 20121 + 13. 207:207
(2) 10. 20. 21. 22 11. 20. 21
10, 213
+34∞ 10)24 = 11. 23 f2. 22 + 1 14
Hop. 2123) + (2) 1L 2 22 12(21
+(10. f27
10. 21. 22
4
10.00. 24 +1. D. 2 LMom HoB. uNo
(2)10. 00. 2123 (2)11 00. 21. 22 12. 0ct 2F
16, 00,22
(3)10 ∞. 21. 22
vel pro 00 ponendo -1
+34 = 10.24 - 11.23 f 12. 22 - 13. 21 + 14.
H2110. 21. 23 +(2) 11. 2.22 +12. 25
10.28
=(3) 10. 2132
Et ita porro eadem lege servata explicate habebuntur 35, - 36, -37, -38. vel
ido 00 seud - 1) + 3 7 +35, - 36, +(37, -38
+200, id est - 1. itaque in praesenti exemplo vaoros sic stabunt. et  quadrat t a + b +c etc = a + 2ab
5+ 30 = 10: 20 C - 31 = 10. 21 + 11. 20,:20 90 = 10. 26 + s1
P- 32 = 10. 20. 22 +11. 20. 21 + 12. 207: 20
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