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# Title: Leibniz-Handschriften zur Jurisprudenz LH 2, 5, 2
# Folio 6r, page id 00068407:0011
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capitat
1 a
(4) A a + b
(a)) H a +b + a tb 
A  arb + atb 
4
+ a+b, Faib 
a 4b
capelas
interesse
ea tirant N Couns
as
atb ep 16)
aib, + arb b.
+ a + b + a +bl
+
aequ.
a
aequ a  atb  a + b
an + rab. + bb
a + 3ab+ 3abi ab
a + 2ab + lb + aa + rab + bb  aequ a t 3a br 3abs
Vetrbs 2 (at a) a
iitere
sura
at b2b vel v at
b4 43 a b e5abi b
 vel a c’arb
3 aarrabls a + b+ arb a vel a5 atb C at b
a +b
a uabe sab st ab t 6
rogressio talis es
Termini sunt numeri qu
exhibent sortem, differentiae
exhibent usmane
b axb arbuab, astatiss semper autem tres quilibet
termini ex se invicemd ita
connectuntur, idt, posito
primo a secundo
a+ b
fient tertius a att fat
tertius a atb ( a +b
itaque primus est ad secundum
ut socundus ad tertium. Ergo
tres termini quilibet hujus
progressionis sunt cantiomre
proportionales, est itaque
progressio Gedmetrica.
Idem aliter demonstrari potest
quia, ut suit sortes inter se, ita
et sunt usurae inter se. Nam
o ut a ad a + b ita b ad a+b
sit eq.
00
Hinc omnia Problemata
de eo quod intere st facillime
solvuntur per Logarithmos.
 aqu. 20
(2 at bi aqu. 2()
seu 2 12) aequ. 2. quaeritur 2
2
problemata quaeritur quando usura hujusmodi
aequet sortem. Cum usurae hoc loco sint
cum perpetua sortium incrementa Erit sors
quaeque aggregatum omnium usurarum praecedentium
sumtum cum prima sorte, quanitur ergo quando
tunc usurae aequabunt sortem, quando sors usurarum
incrementis duplicata erit
ita cum autemi
quivis sortis auctae terminus sit: 
a   a (2
b. posita a
posita sorte prima a, et uscra prima b
ideo quaeritur, et numero multiplicationum ipsius.
a +b in se boam posito Z. ideo fiet:
a 12)
a +b
aequ 2 a.. et divisis
omnibus per a, habebitur aequatio transcendens.
2
 aequ. 2.
cujus ope si inveniatur Z. habebitur quaesitum Hoc per logaritEmos
N Opa logarithmotum ita solvetur, a logarichm ita fiet:
a+b subtra hatur lagarithmus a. risiduum
am
ergo
att - la Z aequ. l2.
2
aequ. Z. posito loganthno unitutis 0.
binari quocunque
eximilum osribere velimus in numeris, opus erit facere a aequ 2. et a +b aequ 2. ergo bague. -
la+b = l’a
X+  equ. X seu X X equ. h. posito X binatie, erit a aequ. 8. et
quae tuc au plre possit in aus  X 5. 2 aqu. b
su a
cem brevius demonstrari potest. Pors ad
sum usuram, id est ad differentiam a sorte sequenti
habet eandem semper rationem, quam scilicet
habet a ad 
Ergo tam sortes quam
gementasertium sireseu usurae
differentia 
sunt progrssionis geametricae
vel numero intervallorum, sive
annorum, (si quidem annua usura est)
et ponatur haqua et m aequ. 5. fiet
obes
b aequ 3t 8 31- 8 aqu24
ex
(2
aequ
, 2 posst este nanerus, integer l a aqu 3
 sid