Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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27
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proposition
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28
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proof
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064/01/053.jpg
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<
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s.000367
">Ex his itidem patet quod si in circulo dentur
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plura, plana v.g. FA, AC, CB, & data sit
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diuturnitas super diametro orizonti perpen
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diculari, dabitur diuturnitas cuiusvis dicto
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rum FA, AC, CT, & omnium simul.7*</
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<
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id
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s.000368
">In super ex his facile cognosces esse breviorem,
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diuturnitatem per AC, CB, simul, quam per
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AB;8* nam ducta AE perpendiculari ad BC
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productam in D ad orizontalem AD, diutur
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nitas motus in AC, super DB mensuratur per
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EC
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, ergo addita CB, quae est eiusdem diutur
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nitatis, fuerit ne motus per AC an per DC
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,
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tota EB erit mensura diuturnitatis in ACB,
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sed AB mensurat diuturnitatem ipsius AB
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respectu eiusdem DB
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, quae est maior quam
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EB
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, maior ergo est diuturnitas in AB quam
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in ACB.</
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Per 7. post.</
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** Est pars secunda quartae tertij.</
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*** Est Tertia tertij.</
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**** Est corol. quartae tertij.</
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<
s
id
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s.000373
">Eadem prorsus ratione probabitur citius grave
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descendere per FA, AC, CB, simul, quam per
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planum ductum ab F in B.9*</
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<
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">In figura propositionis 27. si facto H quadrato
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diuturnitatis G, fiat ML aequalis C, cui ad</
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