Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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88883 L*IBER* S*TATICÆ* etiam pondus lancium librilis ponderi æquale fuerit. Cujus demonſtrationem
129[Figure 129] mathematicam 10 propoſ.
1 lib. exhibuimus, attamen majoris evidentiæ gra-
tiâ, nonnulla huc afferemus.
DEMONSTRATIO.
Perpendicularis per D eſt librilis gravitatis diameter, & quæ per G educitur
eſt diameter lancium, ideoq́ue G D jugum fuerit.
ſed ut radius C D, ad C G,
ſic pondera ſe habent reciprocè;
quare ex C datam quamcunque theſin reti-
nebit C*ONCLVSIO*.
Itaque. Librilis quæ appenſis lancibus horizonti æqui-
diſtat, abſque his vero ab axis tranſverſi acie declinat, lancium gravitatem in-
venimus, quibus librile in dato ſitu permaneat.
Quod erat faciendum.
NOTA.
Ex quibus evidens eſt ſi lances gravitatem iſtam pauxillo ſuperent, vel utræq;
æquali pondere augeantur, librile in dato ſitu non perſiſtere, ſed duntaxat ho-
rizonti æquidiſtare.
Quamobrem iſtiuſmodi libra non fuerit omnibus nume-
ris perfectiffima.

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