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# Title: Leibniz-Handschriften zur Jurisprudenz LH 2, 5, 1
# Folio 22v, page id 00068406:0044
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10005
nempe 50 et E et  et 160 progressianis geometricae subvigin–
tuplae, est enim semper sequens sub vigintuplus de seu vice-
simus, proxime praecedentis, ita que seribemus pro 1000 scribemus
1000 pro 50 scribemus 1000 pro E scribemus 1000 ps
20
2
scribemus 1000. et ita porro
160
20
2
oet ita calculum semper continuando habebimus seriem
infinitam pro sum qu pro summa loco 1000 post quadrien-
ndum demum debitorum nunc anticipanda:
1000 4. 1008 + 41312H (1000 = s4 L
seu trianq
laris de 4. l 20
20
20
iangulo triangu. 5. 1000 = quinti gradus
figuratus 7
laris de 4. V 20
de 4
1000 siptigradus (1000
 figuratus
20 de 4. 220
etc. + et.... etC in infinitum. Et 
Quia vero numeri triangulares, pyramidales, triangulo- triangulares
 et ita porro calculo quodam generali exprimi possunt Est enim
seu 20  est idem quod 4. 5.C. et triangulo triangularis de 4 est idem quod:
exempli causa Triangularis de 4 seuto
45. 6.7. et ita porro. itaque seriem infinitam habebimus talem:
1. 2. 3. 4
20
2.
4 1000 4 4. 5 1009 4. 5. 6 1000, 2. 5.6.7 1000-
1.2.3 20
12.3420
20
45. 6. 28 1000 4 esc. in infinitum. Et ut goneraliter cum
20
1.2
Ut generaliter enuntiemus, pro numero annorum + adhibeatur Z, pro summa debita
1000 adhibeatur a. pro numero 20, quo exprimente quota portio sortis prom sit usura
20
1. 2. 3. 4. 5
licita adhibeatur v. eritque series generalis pro summa loco ipsius a debitae Zannis anti
11212. 213 a 2212e 2 a
Z211
ac-
2X1 22. e +5
1F. 3
23. 4
∞V 1.2.345 V
sedhujus seriei infinitae summam aliter felicissime reperi nempe quadeit. Fetc.
12
1. a - 2. 4 +
quods quod summa auticipanda sit: a. (Z) vEt
generale maximi momenti, nempe quod
Unde habemus theorema
quod sit
Z 24. 1222 (Zu Zn. gu 2 21. 2221. V retc. in
infinitum
1.2. 3. 4 v
1. 2. 3. 45 V
unde patet eandem quaestionem diversis methodis quaerendo novas maximi momenti veri
123 V2
aequal. 1 =  +2
12 V.
aliter jam repertum haberem simili
o quo i t e quois dessesandem usi dssert ueie
rea
periri qu
quam
licet et
locutt
10 quod simili quodi se ud piii am  est abntus ntuto ct