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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 121r, page id 00068198:0241
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videndum ad huc nihil ne fieri possi se termini sint
copositi, ut si sit m + b = p. Videamus quomodo talis aequatio
reducatur ad differentiales fiat m= 9 et fit b = p - 4. Ex aequ. 2
fit n (am: m = saq: q seu ndm: m + du sam:m = dg: 9. Et rursus ex aeg. 3f
dY log. b = dp- d9, p. 9. per aeg. 6 et 5 Tollatur q. Habetur valor ipsius
qui iterum habetur ex 3. etia sine assumta q fiet ex
N (amim =  ap - db,: p. b. seu n dm:m + du samim = dp - ab. ,. p. b
Et ita licabit, pergere dum res sit reducta ad
a
 sit 
ordinarias. sit
it
= p fit Y log. b = Sap: p et Gidr = ap. p. ergo
dp = dr. b log. b. seu de d, b. = ar b log. b
dd. b. = ddr b. log. b + de d. b log. b
Ergo dd. b = log. b  b dar + V log. b b ar
dad. b = B Chgb l sadr + B log. b b dr ddr + log. b b. 2 dr dar + logb b dr
seu ddd b = log. b. b dddr + 3 tog B b dr dar + log. b b dr
dddd b = log. b b dddur + 5ogb b dr dddr + 3 log. b b dr duldr F 3lgb b lur, 3l69. b b di dar
Y
+3logue b di dar + log 6 dr b
prosequendus hic calculus ad habendam seriem
M = p. fit n sam :m = R. tog.  (ap: p
et R dm: m + dn sam: n = dp: m. adeoque fiet
s d, m. = n. m dm + M sanim dn
sit ri = b
sit n sam im = Y log. b et sum: m:
Y log. b: n