# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/806933011:0447
# Permalink to this reading: https://leibnizlegible.com/page/806933011:0447?run=74
# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0447
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=447
# Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000447.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 107 lines, status machine
# Lines: 107 recognised, mean confidence 0.85
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

IVhence Tis plain, Thac Compound Interest
Orounded uxon a Rank oF Gcomerrical Proporrie
nals contimued; che laA oF wrhich is knomn by chie
Numiber signitied bY (1) and i5 at.
Seconcly, 11: at : : P: Z. Freo P at = Z.
THat I5, As one Pound: Is to the amount os one
Pound for any time proposed : : 50is 10, 100, 1000;
or anx sum proposed: To its Amount, for the same
time.
Fromchese ivo Proponrions, che General Theo.
rem P aF: = Z, is susticienty demonstraced, and
max be cleartys understood.
Ouest. 1. Suppose 250l. Bath been at iInterest se-
ven Tears; What doth it amount to, at 6 Per
CCnI. per Annum, Compound Incerest.
Hercis siven P = 250l. 1 = 7, and a = 1. 06.
FOr 100 : 6:: + : 1. 06 = a the ArA YCAF:
Then il a be involved (0 otren, until is Index
t, viZ. a = at; ahd chen mulciplied into P
ic will produce 2 25 appears bY che ThCOreM
BAE a = r. 06, involved 7 times = +. 50363.
And 25OX 1. 50363 ==375,9075 =Z.
From 250 l. havins been ar Compound. Interest lerer
Ouest. 2. Suppose 375L. 18 5. 2d. vere to be paid
Seven Tears hence; What is it morth in ready
Flere vou have siren P = 250, 2 375,9075,
and + == 7, E0 finc a.
Generat Theorem, P a. = Z, F.r50 . = at.
Thac is, at = ar, conseguenelys V 2. = a.
Buc p (= 1. 50363 = Ca
Thac 18, 375 l. 185. 2 d. is che Sum produced
Tears, (25 abore propoled.)
Let a = r -  c.
Thenri F 9r6 c F 21r5 e0 = a = 6.
7 r2 ) - r6 c -  315 ec =
Dere io siven = = 375.3075, 5 = 7, and a =
1. 06; e0 find P.
r0. L 3CC =  - : rr = D.
Etence chis Theorem, 7 - ( 3c=
General Theorem i5, P at = 2, cheretore  = P. -F 30 = . 18
Buc a = L. ob and involved 7 rimes = 1. 50363. Dirisor = 1. 18
Ane 375. 9075 (= 250 = P; chacis, vorch 2501.
1.50363 ready Money.
Ouest. 3. Suppose, 250l. hach been at Incerest, tna
the Amount 15 375 l. 185. 2 d. at 6 per C enE
Compound Incerest; Non lons hath it been
Here is giren, P = 250, Z = 375,9075, anc
= 1. 06tor one Tear; chence to find t, che In
dex ot che Povet OF a.
Generat Xlcorem, P at = 2. F.r80, X = a1.
Consequenely il at be continually divided by a
unil it become : = r, ihe Number oF such Di.
visions will Be F: For such Numiber oE Dirition
discorers hon ost a was involved.
e
250
And L. 30363 ( = 1. 418518.
T. OC
1.418318 (= 1. 338225.
2.06
=C
=rr. Lr0 +300= 75
Mones, abatins 6 per C ent. per Annum, Com. Letr = 1
Pound Incerest.
Forborn?
AICC
Firs r = 2
F e = . 06
Nerr = 1.06 = a
THen F : 2. 06 : : 200: 6 = the Rate OF che In-
cerest required.
182. 5 D275, 4 == 273. 75 Days, and lo tor any oda
Numiber ot Dayschar Falls becrixe luch erem Parcs
And sOOn,
ilt s acome
36=1, Wrhich wil
be ac che sevench Operatior
Then will + = 2. ihe Numbex oF Years requi-
cd.
Ouest. 4. Supoese 250 l. Bato dct sorboen sever
Tears; and the Debtor is willine to sive up boch
Principal and Interest, ossets 375 l. 185. 2 d
2o be cleared; Wat a o Interest per C Cnt
+o the Creditor.
(allorins Compound Interest) doth he hereby offer
1. 50363 =6
214804 = = (7: p
142857 = 7r
ojigni = D (06 = c.
21480428 = 7 C
.16051432 = 76: r5.
.16051428.
000000004
Bur il in any Ouestions, cither oE Interest Or An-
nuities, che cime siren or (oughe, be noc cermina-
cel by whole Tears, bul b Mecao Mths
OuarEeES, TTaIF- VCAES, ThECC OUAKTEES, (9C. FOF re=
Colrins such Duections, tirst reduce such broken ox
FraCCIonal PaTIS OF the Tear MO La)S, oI L. 5 
7D435, 72 = 30. 4 255,  = 31. L3 215, = =
Ot le Vear.
This donc, sind an Ansiver, accordins co the
Demand oF che Ouection (and agrecins e0 onc
Pounc as vetoe) lore Lbet t ie Dass p
Poled.
chis tollomins Ouection.
To vertorm which, it will be requisireto retolve.