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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 27
# Folio 5v, page id 00068240:0010
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 prr aequatione
fieret; bE - a
bx - ha +) ed ponatur.
H 9
d
bhx = ha
d
1
h9
XHhE
porr bei +a et ee Unde bEp dg. et si b, et
d. sint primi inter se, 1 fiet: vel 1g. multipla ipsius b, vel si ipsius d.
alterntro horum positores procedit. Et hoc est ille analyseos j transitus
ad numeros, dua scilicet ex b0
seu bE-qdnar sed non
video quid inde possit duci., nisi forte, quod pontudo 3 d +
Resumamus.
X cid + ea = ca. d si d est diorsibilis per b. necess
si d est divicibilis per obi necesse est etiam e C, esse divisibilem per b.
sina non est divisibilis per b, pone X11 F
sa si ea -ca est major quam b ponatur ei p h- Ib
et ert  i codqa
et dpi si major quam b, erit M - nb
fiet X ri com + ha  - nad - l.
Ergo com +ha. aequatur integio. ubi constat neque in neque h, per b dividi amplius posse
b
ergo explicanda restat co erit scilicet co A b + n.
unde cm A bm + m + ha
YH
Am + am + ha. Jam neque h, neque m
neque n dividi potest per b. tantumque res eo redacta, est ut videndum sit, an
nm ha
possit aequari integio se. unde bs = ha . sed inde tan-
m
dem video ad metliodum meam alibi a me adhibitam redeamdum: sit itaque calculus.
X.  19dCd +4ea = 15ca. Quoniam nihil hic lucrari possumus abiscindendo, invertatur, fier
28b
28b X + 154 - 4 ea co.. pone 2b, 19+ 2n19d + 11 m a
19d
froi cop LnX +1m X + 15C a = 4 ea) c Ergo 11 mX + 15ca- 4 ea p :
19 d
a
a
sive 19dC + 4ea - 15Ca  X. Ergo Et ponendo 19H 1gd _ rpum +89a
11 m
Unde Xp 1PC +
equ +4ca Isca, unde 11 mo+isca - 4Ca  Cd. et Um, 1r 89+ 3sa
11 m
e
80
unde cd H 1X 6V + 3soi + 15ca - 4ea et 89 ( 2 f 3) + 2va, adeo , 
ts
adeoque op 2+ A + 2vA +aea isca + D.   et 3SB IW 2V + ∞N 17 a
adecoque Ap n0 B + 2D + isca - 4e4, + d. adeoque D1  2vd + 4ea - 15c a
a
Adeoque AY 1WV ~ aVD + aea -Hsca, + d. et BV 2t  sie 1 2vd 44ca - 15ca + 5 n + avd + ea 1sca
WB it
d taea Lisca, +d + 2vd +aea ti5 ca + 1wac 2vd taca isca +s
a  C a
ea
7
cops ta