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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 48r, page id 00068195:0095
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An plus vacum reloaquant majores globul
Quam minores, vel contra
A triangulo quila tero suliter Pdem am faad coe tate
lat
C
dia
CFC
urreul
tres sextantes pcirento
ces sextantes
seu ciremus dimidius Resiiduum ADG BdF
ratus D
seu circulus di
er eadem ratio sit rids aequilateri adspliviulum.
cujus diameter lateri trianguli aequalis, eadem etitum sempors ratio orit, ad Csirculi ad Atritineetrus, ssive
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 maj
ratione habita magnitudinis globulorum Erravit ergo P. Chales
si
qui credit pulveris pyrii grana  ideo non dibere usto majora quia
solopeto majrra 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
i grane Aminis magni in interiora non facile iiflamima 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 trianu. DFq simile Triangulo ABC. ita vodetur
instribenda erunt tri vel circum scribenda polus goua
crilime
sis Honiam