Baliani, Giovanni Battista
,
De motu naturali gravium solidorum
,
1638
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<
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">PROPOSITIO XVI. PROBL. VIII.
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<
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">Data linea perpendiculari, & plano declinante; reperire
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in perpendiculari producta punctum, quo perveniat
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grave eo tempore, quo pertransit planum inclinatum.
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<
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id
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">Data sit perpendicularis AB, cui connexum planum
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inclinatum AD.
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<
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<
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id
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">Oportet in AB producta reperire punctum, quo perveniat
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grave eo tempore, quo pervenit in puncto D.
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<
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id
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">In puncto D perpendicularis erigatur ad AD, & protraha-
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tur usquequo coeat cum AB producta in E, & E est pu-
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nctum quaesitum. </
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<
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id
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">Quoniam triangula & ADE, AEC sint aequiangula,
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cum anguli ADE, AEC sint aequales, nempe recti, &
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BAD communis
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, sunt etiam similia
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, ergo ut AC
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ad AE, ita AE ad AD
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, sed ut AC ad AD, ita qua-
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dratum AC ad quadratum AE
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, & ut AC ad AD,
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ita quadratum temporis AC ad quadratum temporis A
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D
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, ergo ut quadratum AC ad quadratum AE ita qua-
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dratum temporis AC ad quadratum temporis AD
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, er-
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go ut AC ad AE, ita tempus AC ad tempus AD
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, sed
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ut AC ad AE, ita tempus AC ad tempus AE
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, ergo
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tempora AE, & AD sunt aequalia. </
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<
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">Quod &c.
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Per 32.
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prim.
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Per 4.
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sexti.
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Per 4.
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sexti.
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<
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id
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s.000210
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Per 19.
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Sexti.
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<
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Per Cor.
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7. hujus.
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<
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Per 11.
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Quinti.
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<
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id
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s.000213
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Per 22.
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sexti.
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<
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id
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s.000214
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Per 11.
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hujus.
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</
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