Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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<
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">In canalibus perpendiculari, & inclinato; se
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ctiones terminatae a linea orizontali sunt
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aequales.
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type
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<
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">Dentur canales AB perpendicularis, & AC
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inclinatus, quorum sectiones CB sint ori
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zontales.</
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">Quoniam AB est media inter AD, AC
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, AD ad
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AC habet duplicatam rationem AD ad AB
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.
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Unde sectio D ad sectionem C est ut AB ad AD
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. </
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<
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">Et eadem sectio D ad sectionem B est pariter
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ut AB ad AD
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. Ergo sectiones C, B ha
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bentes eamdem rationem ad sectionem D, sunt
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aequales inter se
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Per 10. def. quin.</
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Per 3. huius.</
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Per 7. huius.</
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Per 9. quinti.</
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Per 3. huius.</
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