DelMonte, Guidubaldo, Mechanicorvm Liber

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115iis, quæ ſupra diximus. Moueatur cuneus ita, vt E tandem per­
ueniat in C, & poſitio cunei ABC ſit MNO, & poſitio pon­
deris AEFG ſit PMQI, & G ſit in I.
Quoniam itaq; dum cu
neus ſuper lineam BO mouetur, pondus AEFG ſurſum moue­
tur à linea AC.
& dum cuneus ABC vlterius progreditur, ſem
per pondus AEFG magis à latere cunei AC eleuatur: pondus igi
tur AEFG ſuper planum cunei AC mouebitur; quod quidem
nihil aliud eſt, niſi planum horizonti inclinatum, cuius inclinatio
eſt angulus BAC.
Hic motus facilè ad libram, vectemq; reducitur. quod enim
ſuper planum horizonti inclinatum mouetur ex nona Pappi octa­
ui libri Mathematicarum collectionum reducitur ad libram.
ea­
dem enim eſt ratio, ſiue manente cuneo, vt pondus ſuper cunei
latus moueatur; ſiue eodem etiam moto, pondus adhuc ſuper ip
ſius latus moueatur; tamquam ſuper planum horizonti incli­
natum.
Ea verò, quæ ſcinduntur, quomodo tam­
quam ſuper plana horizonti inclinata mouean­
tur, oſtendamus.
Sit cuneus ABC,
& AB ipſi BC æqua­
lis.
Diuidatur AC
bifariam in D, conne­
ctaturq; BD.
ſit dein­
de linea EF, per quam
tranſeat planum hori
zonti æquidiſtans; ſitq;
BD in eadem linea EF;
& dum cuneus percuti
tur, dumq; mouetur ver
220[Figure 220]
ſus E, ſemper BD ſit in linea EF.
quod verò ſcindendum eſt
ſit GHLM, intra quod ſit pars cunei kBI.
manifeſtum eſt,

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