Baliani, Giovanni Battista - De motv natvrali gravivm solidorvm et liqvidorvm

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PROPOSITIO XI. PROBL. IV.

Datis pluribus lineis æqualibus ab eodem
puncto superno descendentibus, etiam si
una sit perpendicularis, reperire impetus
in fine ipsarum inter se.

44[Figure 44]

Datis aequalibus AB, AC, AD, inclinatis,
& AE perpendiculari oportet venari im
petus inter se in B, C, D, E.

Ducantur BF, CG, DH normales ad AE, &
proinde orizontales, & fiat AI media inter
AF, AG, & fiat AK media inter AF, AH,
item fiat AL media inter AF, AE.

Per 10. definit. quinti.

Dico impetus in B, C, D, E esse inter se ut AF,
AI, AK, AL.

Quoniam impetus in B, & F sunt aequales nec
non in CL, & in DH, & impetus in F, G,
H, E sunt ut AF, AI, AK, AL,

Per 16. Quinti.

Per 9. huius.

Igitur impetus in B, C, D, E, sunt ut AF, AI,
AK, AL, Quod etc.

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