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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 256r, page id 00068201:0511
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pagina priot
quae pomponuntur oxheis torim intellegi pe, deet
1a romsitu de coiua solum de columuis nostresu t  pseo pt
+E 11a + 12 ab + 13 abc + 14 hbc + 15 abcd + 16 abcde + 17 ab cdef
re aliis quibuscum
d-1a + 12 ab + 13 abc +14 abcd + 15abi d ef + 16 abcd et + 17 abcdefus = 8
1 a ∞2 ab + 4 abc 
10g ab +103 abc
eup 1. 1. I. 1 a +. L. L.H ab
L1. 1.2.12 0, + 1. 1. 3. 12 abc
in quolibet valore, coeffi
cientis  ut 10y. sumatur
integer inclusus in yH: 2
2o nunero, te mini priores,
 seu medietas vel plus
quam medietas valoris
est regulata, vg. in valoreipsius ra
acter esifficient iX, nn praeter ummiros
progr. Giom duplae, multiplicabitur vrdine
pet (ec a, et per Xnionem remm G2
vefficiens ia, constat
Ex. 9. in valore 10
ex partibus, quae prodseunt si fstAb. 4. 1
siguis alveratis t etq, pultiplicentur respective
nu si g dup Si partes ex quibu
constat , nempe 1. 4. 6 4 +, signis alter.
natis  ducantur repecti si
si quaternio rerum 2 seu E
si 7 rerum quaterniodu nempe 35 mulli
- B abcd + 16abcdF - 32 abedet +64 abcdetu
+1. 1. 4. 14a. + 1. 1.5. 14 abede
dumnos progs. Heom doplis s. tro fucmtos nis poudats quorum muxns est
plicetur per productun u
 IF , nempe 1. 4. 6. 4. 1 multim
 maximus 2, seu 64 qui sunt 14 - 8 + 1b- 32+64
ubi Qui imparis exponentis affecti sign,
sed alter major ditcultas est in alteraedietat1.
signo-, qui paris signo +
+105 abide +10b +b1d5) + 107 abcd et =
+1. 1. F. 12 abcd 
od sit parres ipsiat respective
cum 2 e veluli in 107, quaeritur quid + 16A.
aficiat cdefficentem IX, porito X excedere + IB).
medietatem ipsius y+1, ut cum in valore ipsin 107
41. 1. 5. 151. + 1. 1. 6. 15abedef
= 2. 2. 10. 14
+4. l. 10, 12
+4. 3. 10. 13
Y4. 3. 10. 14
+ 4. 1. 10. 15
- 8. 1. 5. 11
- 8. 2. 10. 12
- 8. 3, 10. 13
+ 4. 1. 20. 13
- 8. 4. 5. 14
ta his Termriais, maximus celut 1 seponamus ultinum seu maximum
+4. 3, 20. 14
+4. 3. 20. 15
+ 4. 1. 20. 16
- 8. 1. 15, 12
- 8. 3. 20. 13
-8. 6. 15. 14
-8. 4. 15. 15
- 8. 4. 15. 16
+ 16.2, 15. 12.
+16.5, 6. 15
+16. 1. 6. 1b
 seu 1y, et sumamus 1(G.1), 1(Y. 2),  (3. 5); in his adhileantur partes iptu 111 = 1. 7. 21 3 y, 217
quaentur per quae multipexetur 15
ipsus 1E, pro(9- 1) demta una prima et una tellim dempe 7. 21. 35. 37. 81.7 absibengut 
ocu 2 deratas duabus prims et duabus ustrmus, nempe 21.35. 33. 21, Et pro (Y. 3 et pro appleto - 3 2. 1. 8. I1
semlis 3b9 primis et tubu, ullimis estat 35. 35 Numeri omissorum ex ultimil adubetur 1.
loco supplendi sunt unus idemque Pio (Y - 1) est unio ab y rerum 5, semel ing.
pro (y-2) est binio remm s bis, seu bis 21, pro (y. 3) est 3nio recum y vol 7 ter, Senter 35
et ita in caeteris. Hi numeri hoc modo dispositi, quam tam priore, quam suppreti
ratnales in qui, in totilem biniones sed
totidem tiniones seu timemares  g. 2; in totidem zaiones pro y- 3. A suppletus constant,
= 32. 1. 15. 14
+4. 1. 35. 14
ducendi sunt ordine seu resq ectioti
qui sunt ex ipsis iet
44. 1. 35. 17.
-8. 1. 35. 13
-- 8. F. 4. 35. 19
reperendus, in tot partes x ex poledo 14 pro coeffienta IX vig. in 14, trais contento in 107
t
8.6. 35. 15
8. 4. 35. 16
5ter supplotus, mulliplicatur 1. 4.6. quae suultres partes priores
in 114. Derige adintola
m. 8. 1. 35. 17
+16, 1. 21. 12
+16, 6. 35. 14
116. 5, 21. 16
8 +1b. 4. 70.1
+ 1b. 1. 7. 1 itquod pro
1oi ottertaerm 1o 4. b. 2s i
102 = fF1. 1. 2. H1 (Y F. l. C. 12) -0
+1. 1.3, 12 + 1. 1.3, 13 =12
+1. 1. 7.16 a. 9
NI = 1. 1. 10IC) = 0 11 =C
=8. 1.6) +4. 3. 7.
8. 1. 4 - 8. 1. 1
+.l. 8. 13 a .M
-28. 21. 15CC
+ 1. 1. 9. 18a.. 1
105 = f 8. 1.5 11 44. 110. 12  2.1. 10, 13 +1. 1.G. 14 + 1. 1. 5. 15
+1. 1.5 1) -8.2.10.
+ 4. 1. 56. 15 e
+ 4. 1. 84. 16
+4. 3. 84 17
+4. 3. 84. 18
+ 4. 1. 84. 19)
+c. 1. 120. 17
+4. 1. 120. 20
= 8. 4. 70, 15
-8. 6. 70. 16
- 8. 4. 70. 17
= 8. 1. 70. 18
s. 1. 126. 13
- 8. 4. 126. 16
-9. 6. 126. 17
-8. 4, 126. 18
71b. 10. 21. 15=+ 16. 10,56. 11
+16. 1. 126.1
+1b. 3, 126. 3
1I6. 5 126. 18
+16. 1. 126 19
+16, 10. 126. 16
116. 5. 56
16. 1. 56. 18
+1610.2 17
+459065 1g. . 10(=1
+16. 1. 53 F16. 1. 1.
= 201. 15. 14 + 1. 1.6,3
2310 (8 20 - 2. 2. 104. -2 1. 101.
+1. 1. 90. 19a.. k
-32. 1. 15. +16,5.6.)
32. 1. 7. 11) 4 16. l. 2113 - 9. 1. 35) 13 +4. 1. 35.14 --.12
+64. 1. 7. 1ar 1 . fib. 3. 3 7. 8. 9. 3
+l. l.11. 2baC
. Esdi 34. 355. (+26. o ha  F1
noeit . 35) 154 2  o 2
+ 1. 1. 12. 214..1
24 + 1. l- 13. 23
2.2.3= = 2. 1. 3,-1
9. 1. 3 44. 1. 1d
114=) 19. 1. 4. 11 -2. 1. 6. 12 41. 1. 4, 13 + 1. 1. 9. 14
-8. 1. 4 +42.6. 26- 2. 2. 6
-9. 1. 70. 14
+16. 1. 56. B
Ob = A1B. 1. 6,1)- 8. I. 15.12 14. l. 1613
32.1.65.) 11b. 2.15.C
32.1. 15). +1b.3. 20
8. 3: 20l.93-8. 6151.
= +16. 4  +8.95 321.20= +16. 4. 155
 2. 1.66.20
- 8. 1. 252. 16
- 8. 1. 462. 17
 8. 4. 462. 18
-8. 6. 462. 19
8. 1. +62. 20
+1b. 1. 252.15
+16. 5. 252.16
416, 10. 252. 17
41610,. 25218
+ 16. 5. 252, 19.
+ 16. 1 252. 20
+16. 1. 462. 16
116. 5. 462. 17
+16. 10. 462. 18
+16, 10. 462. 19
+16. 5. 462. 20
116. 1. 462. 24
+R. 1. 220. 19
+4. 3, 220. 25
+4. 3. 220. 21
+4. tr 220. 22
+ 1b. 1. 792. 18
+16.5. 79218
+ 16, 10. 792, 19
+ 16. 10. 792. 20
+16. 5. 7et 21
+ 1b. 1. 792. 22
= 2278, 22
x4. 3. 286. 2
+4. 3. 286. 22
X4. 1. 296. 23
= 8. 1. 1287.19
8. 6. 1287.20
8. 4. 1287. 21=
= 3. 1. 1287. 22
4 16- 1, 1287. 18
+16, 5. 1287. 19
+16, 10. 1287. 20
+16. 10. 1287. 21 +
+16. 5, 1287. 22 34 11 11
+16, 1. 1287. 23