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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 14
# Folio 19r, page id 00068032:0037
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 18v); this page is its right half.
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# Lines: 64 recognised, mean confidence 0.79
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et quoniam Loggulam
n
numerorum progressionis Arithmetici nermpe a. X  tab. X.
X+ Vab
sunt progressionis Geometricae, hinc trium istorum Logarithmorum, haberi potent summa quoniam
frium nume quantitatum progressionis Aithmeticae semper haberi summa potest sed ea summa erit
per duos itaque tres illi Logarithmi in quibus includitur incognita, semper reduci po hic
poterunt
vi
duos
-
quae utique tractabilior: potuistermus aliam formare L hoc modo. analogra
adoi posrint duber
  e lyte
a
a
seu
paritimi
Cn 3
X +C
id est legarithum BLeg X - 3f .9 A,  p p
3L04 X L0gEX +C ,7 2 Loga
Log X et Log bX +C
et Xtc H v
2b ni a   pt e . 100 
ro her fel: 4og 2 +. l0 b. lya
et il semble que c’est dose assez  aisée de ondResolvere omnes aequationes in
( X2+
et X+
lices: AB a A(B) nonbres,
BC. (B) (C) logarithmes. Hoc etiam ex hoc
methodo commodum oritur, quod ita nultiflicationes nullae sunt ipsius in-
cognilae, per linens quasdam, datos, quod anteque more me districtum
tenmerat. Et credo semper simplicibus aequationibus dsubsidiariis resolo
posse formulos in ejismodi factores sim quia facile in factore uno gradus
in feriores resolverntur, et hi rursus facile in tales
V.y
X4 + b X LC X + a dX + . fieri potest incetergi facta ex
X + in et X etc. uisus facta ex x etc.  X +. et itro
porro proterea potest hoc modo fieri.
co productumque comparandum deite
b3
+
+ CdX. ergo
(3 iC X + afX (5
(5)
formulae 
X C X + d e X = dX,
e erica. dp b- c. Ergo X + bx + acH
X3+
BX + ac
X+ 9.
balonemquahatuo
bul
b
XY + b X +aCX +
 o retetia supur fante eotieu pope hanc e in fadirs in gritiorem ob oidetur ad agebubican 1
-
a
tC
LX +f er
X + bX + a C X +5) X +dX X+ C
X ..X
aesg 91 a