# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068195:0112
# Permalink to this reading: https://leibnizlegible.com/page/00068195:0112?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 56v, page id 00068195:0112
# Scan: The same scan as fol. 48r (00068195:0095), where its text is given.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=112
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000112.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.87
# 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.

An plus vacum reloaquant majores globul
Quam minores, vel contra
A triangulo s quila tego sulitem ABc alim conin ate
lat
c
dia
CFC
vircul
 tress extantes cirenti
ces sextantes
en ciremlus dimgdius Resiiduum ADG BdF
ratus D
seu circulus di
er eadem ratio sit rids aequilateri adspliviulum.
cujus diameter lateri trianguli aequalis, eadem etitum sempois ratio orit, ad Csirculi ad trilineus, sive
majores sive minores Circuli adhiblailinea seu oruiguo autem globulorum
numero tot possunt computari circelic quot pori quot circuli pancis det
cujus, eo mina error. semper ergo in spatio magno
globulis aleno, eadem ratio vacui, ad plenum nulla
et quo ma
ratione habita magnitudinis globulorum. Erravit ergo P. Chales
si
qui credit pulveris pyrii grana  ideo non dibere usto majora quia
solopeto majora essent grana majores poros inter se relinquerent, qui cum
majorem habeant rationem ad minus illud spatium. Cerron minuerent actionem
pulveris. Sedvvat Pyrotechu. lib. 1. prop. 1. sed vera ratio est, quod
_ grane Aminis magni in interiora non facile iiflanim a afficiuntur
illud examinandum est, an majus minus ve Vacuum fiat, si inaequales
asthibeantur globuli. et triungulum ABC non sit aequilasterum,  sane
sectores LFG ADG BDF, GCF sunt portiones ad Circulos quorum sunt portiones, ut
erit ergo
anguli A. B. G sunt ad duos rect quatuor rectos, seu ad ambitu
ADG, bB DE, CGF A + B Ang. A + Ang. B + A ag. C 2 rect aequL
2
+ rest
4 re 1t
Quaeritur quae sit ratio trianus ABC. - p DG = BDF  = CGF ad lirc A + Circ B + Circ C.
Circ. 
circ. A. circ. B
videndum an triangulum tribus circulis cisgronscriptum sit sit simile ipsi ABC. sed
non videtur; item an triang. DFq simile Triangulo ABC. ita vodetur
instribenda erunt tri vel circum scribenda polus goua
crilime
sis Honiam