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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 42r, page id 00068193:0085
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0.
c
M
1-
Sert. 1. Cap. 2. De quantit. materia
ponenda sit massa media bonitatis, habens in marca lotones au
ri i2 et argenti 4. Placet autem in exeplo hoc, simul volumina
et gr’avitates speuficas indagandas exponere. Auri gravitas spe
sin
cifica sit ut 2; argenti ut L. Erit n massa meliore 13 lotonum
auri volumen
12
2 (id ett 13 divis. per 2) et 3 lotonum argenti 3
seu 3; et m matra meliore volumen marcae erit 13
C
c
+3 seu 1
per prop. 3.) Ergo dividendo pondus marcae melioris per volumen
seu 16 per 7
a
fit
gravitas speufica marsa melioris (ob ean-
dem mops. 3.) Et similiten in mattâ deterroue volumen 9 loto-
num auri est ? et volumen z lotonum angenti = seu 7.
d
23
et volumen mareae 2 +7 seu 2, et gravitas seufica 16
divis. Peri 23
32. Et in massa media deniderata volumen
2. Sed 23
12 lotonum auri est
12 seu 6 et 4 lotonum argenti ett 4
seu 4, et volumen marcae est 6 t 4 seu W0; et gravitas spe-
10 seu 32. Qveritur quantum voluminis
cifica massae fit 10
2O
aut ponderis a massis extremis capiendum, ad fauendam
mediam. Et primum si volumina capienda denderemus, ob
regulamo praesentis problematio fiat volumen massae deterio-
ris capiendum ad volumen expiendum melioris, ut
32 32
19
20
excerrus gravitatis speuficae maxima super mediam ad 32
32
23
excessum media suster minimam seu ut
20 demito 2
a
d
odemto ad
2
2. seu ut 19 ad =, seu ut 23 ad 57. Cumge pondera
3
capienda fiant multiplicatione voluminum per gravitates speci
C
ficas; itaque multiplicando volumen deterioris:
.pa 132
tatem spenticam
pen 32
32
11
iuper suam gravi
23 fit pondus massa deterioris ut
3
-
u multipl
1t.
similiter pondus massae melioris fit ut 23 multipt. per
Unde portrmo sublatis 32, 23, 19, quae utrobique eodim
1
modo reseruntur, erunt pondem capienda ut 1 ad 3, tive
Aro uno pondere massa deterionis capiendum est triplum matta
s
melious, seu m marca massae media crunt 12 Totones mattae
meli
D