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

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1
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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