DelMonte, Guidubaldo - Mechanicorvm Liber

DelMonte, Guidubaldo, Mechanicorvm Liber

Table of figures

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31dus E pondere L maius. diuidatur itaq; pondus E in duas partes
NO ita, vt pars O ſit ipſi L æqualis, erit HC ad CG, vt to
tum NO ad O; & diuidendo, vt HG ad GC, ita N ad O:
conuertendoq; vt CG ad GH, ita O ad N. & iterum com
ponendo, vt CH ad HG, ita ON ad N. vt autem GH
ad HB, ita eſt F ad ON. quare ex æquali, vt CH ad HB, ita F
ad N. ſed vt CH ad HB ita eſt Q ad R: erit igitur Q ad R, vt
F ad N; & permutando, vt Q ad F, ita R ad N. eſt autem pars
Q ipſi F æqualis; quare & pars R ipſi N æqualis erit. Itaq; cùm
pondus L ſit ipſi O æquale, & pondus F ipſi Q etiam æquale, atq;
pars R ipſi N æqualis; erunt pondera LM ipſis EF ponderibus
æqualia. & quoniam eſt, vt AC ad CG, ita pondus E ad pon
dus L; pondera EL æqueponderabunt. ſimiliter quoniam eſt, vt
AC ad CB, ita pondus F ad pondus M; pondera quoq; FM
æqueponderabunt. Pondera igitur LM ponderibus EF in BG
appenſis æqueponderabunt. cùm autem diſtantia CA æqualis ſit
diſtantiæ CH; ſi igitur vtraq; pondera EF in H appendantur,
pondera LM ipſis EF ponderibus in H appenſis æquepondera
bunt. ſed LM ipſis EF in GB quoq; æqueponderant: æquè
igitur grauia erunt pondera EF in GB, vt in H appenſa. tàm igi
tur ponderabunt in BG, quàm in H appenſa.

65[Figure 65]

Sint autem pondera EF in CB appenſa; ſitq; C libræ centrum;
& diuidatur CB in H, ita vt CH ad HB ſit, vt pondus in F ad
E. Dico pondera EF tàm in CB ponderare, quàm in puncto H.
fiat CA ipſi CH æqualis, & vt CA ad CB, ita fiat pondus F ad
aliud D, quod appendatur in A. Quoniam enim CH eſt æqua

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