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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 52r, page id 00068193:0105
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ad M
ets
scer
ur qoo
es,
et sd
KML
ed cy
eas
sint
quas
M
13-
at
totam
se
siter
soli.
A.S.
utum
10
e0 ar-
olo
ant
Sect. 1. Cap. 3. De Purtibus
m ratione rectarum AB, tunc ipsi virge attrituemus gravi 39.
G.
tatem spetificam mediam, quam si ubique aequalem haberet, tan
tum ponderis haberet quantum nunc; seu eam quam acciperet
si funderetur in massam homogeneam, ita ut aurum et argen.
1
fum aequaliter distribueretur; nempe in exemplo proposito, si
pormale ABC reprasentabit pondus integrum virgae, cui fiat
aequale retangulum ASdGH, ejusdem cum triangulo altitu–
6G
gravitatem specticam, attribuendam toti vvirgae
Prop. 17
1a
Si factum ex applicatis in totum aliquod ordinatim
duetis repretentetur per figuram, cujus basis repraesentet to-
s
tum, altitudines varie repraecentent ordinatim duita; appli-
catum totius resuttans repraesentabitur per rectam constan
tem quae in totam basia ducta figuram pucori aequalem pro
ducit.
42
Ut si (Fig. 18.) AB sit virga diversarum n diversie pun-
C
eis (B) gravitatum (B) (C.); gravitas iprius virga seu medra
q
et
e
BG
G aequalis figu
c
catis factae. Patet ex definitione 5; addatur prop. 7. et 8.
Def. 6. MeDrM AX T AMEFICrM ett summa
quotcunque quantitatum divisa per quantitatum numerum.
A
he medum Arithmeticum inter 3 et 5, est summa
a
4, nempe summa 3 plus 5 seu 8, divisa per numerum quanti
25
tatum, su per 2, fit 4; Sed medium Arithmetuum inter–
tres quantitates, 3,5, 8, ett -
Hujus medis tam late sumti maximus est usus; exempli
cau-