# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068193:0086
# Permalink to this reading: https://leibnizlegible.com/page/00068193:0086?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 42v, page id 00068193:0086
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=86
# Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000086.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 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.

Sect. 1. Cap. 2. De quantit. Materiae
melioris, et 4. massae deterionis; quod examine comprobatur. Nam
12 dotones massae melious continent 3. 13
19
4
3.3 ceu d argenti. At 4. Totones massae deterions continent
9
auri et argenti. Ergo addendo in unum  auri in masla
meliore et  n deteriore, fiunt 28
 seu 12 totones auri in mar
ca massae mediae seu compositae, et addendo argenti in matia
meliore, et Z in deteriore, fiunt 1b seu 4 lotones argenti in mar
4
ca massa mediae compositae. Quod denderabatur
x
Sed idem in praetenti camu brevius consequi poteramus, nec opus
erat gravitatem specificam aut volumina matsarum investi
gare; quod tamen ideo prartitimus, ut ostenderemus praain
calculandi, quando his opus est, sequenti etiam problemati pno-
futuram. Hic vero ea eo solo, quod constat, quotnam lotones
auri sint in massis meliou et deteriore, et quot requirantur
m media componenda, nempo m meliore. 13, deteriore 9, et
media 12, haberi potert secundum eanonem problimatis, sut
volumina ea gravitatibus sperificis, paulo ante investigavimus,
nempe, pondus capiendum de deteriore ett ad pondus capiendum
de meliore, ut acessus auri in meliore super aurum n media
id ert 13 - 12 seu 1) ad excetsum auri n media super aurum
n deteriore (id ett 12 =9 seu 3) hoc est pondus capiendum de
meliore est triplum capiendi de deteriore, ut ante
Prop: 20. Probe.
datis dentitatibus duorum componentim marsam datam
moenire sine septaratione qua propontione componant, modo
volumen ejus et pondus sare liceat; quod ett. problema corona
rumo Archimedis.
Fonamus coronam auream Hieronis Regis ab apsificae ad-
miato argento esse nonnihil adulteratam, et quaeri, quantum
sit argenti n ea, quantum auri, ita tamen ut coronam refun
du
2
etC
se
p
ne
sit
7