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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 67r, page id 00068196:0133
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seneraliter Dividatur formula in qua X et y sunt homesceptota
per aliam, in qua itidem sunt tales
42oxx ettor
40277
Tvnenu 400 + 4B X + 41 Xy (+ 42IXXy + 430 X + 422XXyy +431Xy + 440X 1 432XXyy + 44 Ny 145oX
401 y
412xyy 403 y7
413Xy qua y 423XxB Eap 40c
per 500 + sOX, et post per 500 +5WX +5IIXy+ 520XX . Et ila porro
502yy
501 ) ubi 401 = 4b0 et 58 = 510, et ita porro
4094, 4u0X Ad0 4 (X
0d
4o1   eo
alo
500
4
A00 faoX +) aMI +170XX
402G4
521 XXY 53OX
512 XGy 5031
si dividamuus formutam generalem Unius literae, ur alian foruntam generalem unius litere,
300 +
500 
jam inveni fernonem eu si 20K + 2IaX + 22AX + 23a X +2a a L 2saX et 25aX + 2Ga dividatur per 10X t aC 
prodibit 30 X + 2 ax FraaNX +7 Px 13+ a 3: 10 + 35+ XX4 76a X 137 et 30, 31, 32, ete valores
10XLHaXX 4X+Ba habebant sequentes
10. 30 = 10. 20 10.31 = 10. 21 - 11. 30  10, 33 = 10, 22 = n. 31 -12,30 10.33 = 10. 23-1. 32-12,31 - 17. 30s
en 30 = , (31 = 10. 21 - 11. 20,6)15 32 = 10. 22- 10. 1 21 + 11 2 20 = 12. 10. 20
Canonem pro formula generali dividenti fom divisione siilatu ut inter
Qo Nunc poso diviscone bilitera in homoeoplotis, sit dividenda C
formulas generates unius literae jum constitui
biorso2 9 prodit 600 + 610X + 611 XY + 620XX + 621 Xty + 630X3 + 622 XXyy +631Xy toX
il comparetur cum prod. Multiplicetur, quoliens e per divisorem 9, prodit dividendus C, seu
quot,
quoticus
39= 50d. 600 + 500. 6107 + 500. 611 xy + 500. 620XX + 500. 621 XXy + 500. 630 X + 6fer2XX gy + 500 63 R y tev t or e
510. 621 51630
S10. 630
511. 620
quod cum ipso coinide coincidentiaudum
+ 510. 600 +, 510. 610 B 8. 610
Coincidentiandum
cum 500. C.
Stt. 60
SII. 600
520. 600
+ 510. 611 +510. 620 +510. 62
Sic. 620
SII. 610
520. 610
521. 600
600 = 400 500 410 =
SII. 611
520.6107520. 620 520. 611 520 120
2. 52.610
530. 600
521. 610
500. 410 = 500. 610 + 510. 400 Eryo 500. 690 = 500, 410- 510. 400
500 611 + 2. 510. 510, 640 +500. 511. 600 = fit 50v. 411 et erit 6
530. 610 530. 510
500. 611 = 500. 411 -300. 511. 400 = 2.500. 510. 40 +, 510. 400 =   s  - 500. 511 400 - 2. 500 sio2u7
dyix-
+2, 510. (+50D2. 411