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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 96v, page id 00068198:0192
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Jnterm considerantum
est, si comparatio possit procedere, atiue
processuram etiam si subtatis xletg. st Z et V, redeant X et y
per 6 et 3 ut plod eat (3)
itaque si in og ubi _ ,021 Z2V etC sublato Z  remaneat X, (non potest x
altius ascendere quam ascenderat y.
Ruisus si sublito remaneat Y_y
ope  ope aeq. 6 et ; nop ut prodeat (Y) nop pt y altius ascendere
in e, quami  Z in ea ascenderat, ergo habemus duas aequationes
ubi eq eet per v unam ( 7 per X et V, alteram 8 per y et v
et ubrobius x et y ascendunt ad eundem gradum superest tollenda v per aequationes
reek 7 et 8. jam si sint duae aequaliones e Ca qu + cvv erc =
et l+ mV + nB Cet = 0, tunc tollendo V quaelibet litera ascendit ad
eom al eum gavum quam habetat D ergo hinc praevideri st quousque
ascendant aequationest
idendum an liceat ad hibere etiam dxa catu differentialis
0-
Cst CXY O. XC
de = X= 17
vel an sic (X Ax = C. X + sit jam et  e = - 1. fiet S.lx. x = B - X
sit AE a. cum si AB sin progressionis Geometricae spatia VEBLV
sunt progressionis Geometrico. Unde etiam si AB sint progressionis
Geometrice, spatia infinita erc ABL erc sunt eliam progresionis
Hirchmeticae su Hinc si AB sit X etio asa dx: x er
nl logarithmus ipsorum X sed tuae log. 28 0 est infinitus.
interim si oqualio, occurnt log X + log. y = _ log. 1
licet senfer, X  sit log X, + log y = log. a = log a = log. a -0.
1BBB ubi palet logarictum unitalis esse infinitum quomodicunque aggaculur
loganthmi linearum. fit blo ipsius la logarithuus sit d, et
psius  ligaribimus sit n et ipsius in log. sit n. sit m = b. a sietg
s- e log b e= log. a posito M-  B
si n= a b  fiet s, sit AE a, cujus logarthmus EG. sit l.
sit AB  b. cujus logarithmus sit h. Ergo si AM = bb: A, siet
M P = 262 2h - 1 Et si AM = b. a b fiet 1MP loge ton tog
fiet MP = 8 n+ ih - nl. ubi lumen 2. sunt numen
sit (xt 3 (aa dr. X = saa dy. y = 2Xy.
Vatu quaa x sit qua Hic si
Hic si tam