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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 307, page id 00068191:0307
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S0
adtitudinem diversa sit potentiae
prodiversis elevandi modis, iba
ut diversa ratione ehevandi ea-
dempotentia possit idem pondus
eLevare plus vel minus. Sed con-
stitutosemel axiomate quod cau-
saplena effectui integro aequi
val et eadem semper potendia
ad eundem effectum determina-
rum pobentia praeditum quomo-
Docunque producendum require
tur
L
d
Op. 14
In Libra recbilinea si
distantice ponderum a centro
Librationis sint ponderi-
bus proportionanes reciproce
cu fiet aequiliorium.
int pondera L et B quae
Librae recbilincae ACB extre-
masoa sis puncta1A1B
tolasan orahere conentur verpus hori-
Zonbem HIR. Sibque C1A ad
CiBatpondus B aapondus A;
verbigrabia si A pondus sit
dupeum
in ratione composita ex ratione pon-
derum A(2) e B (5) e albitudinum 1A
2A(3) Y 1B3B (4.). Et quidem si ad-
titudines 1A2A V 1BZB essent aequi
Les forent pobentiae, ut pondera (per
propos. ishic) Itaque in ratione con
posiba ponderum S albitudinum,
quia aequalibabis ratio in compositi
nenil mutat. Jin sint inaquales su
matur majoris altibudinis 
B2B3B(4) pars 1B2B (3) aequasis mi
nori 1A2A (3). jam potentia (6) A
ipsus A(2) eterabi in altitudinem 1A 2.  (3) es
ipsius
ad potentiam (15) B (5) elevabi ad
albitudinem 2B2B (3) ut A (2) ad
B(5) (perprop. 1. hic) et potenti
(75) eLerabi BC) per 1B2. B (3) G
estad potentiam (20) BC,) elevati
per 1B2B3B(4.) ab 1B 2B()n
1A 2A (3) ad 1B2B3B(4). Ergo
Vungendo prima postremis potentu
6) est ad potentiam (20) in ration
composita A(2) ad B(5) X1A 2 A
3) ad 1B2BZB(4.) seu in ratio-
ne composita ponderum et altitu
dinum.
Familiurius. potentia eterandi
duarum Librarum eleratarum ad
pedes
5