Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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f. toto ſuo pondere, </
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ſim vaſis.</
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vas aliquod
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conicæ figuræ, ſeu
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coni concaui aqua
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plenus, cuius orificij diameter ſit
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& multiplex diametro
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infimæ baſis. </
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<
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gitemus etiam
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diuiſum in tot partes, quarum
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æqualis ſit
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imagi-
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tot lineas perpendiculares deſcendere verſus mundi centrum ad puncta
<
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c.m.</
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et
<
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vt in ſubſcripta hic figura videre eſt, per quas cogitemus tot ſuperfi-
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cies curuas
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, inter quas, mente concipienda eſt aqua, quę pondere ſuo quie
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ſcet ſupra maiorem ſuperficiem illa, quæ æque diſtans eſſet mundi centro, ſeu quam
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ſupra baſim
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vt exempli gratia conſideretur aqua inter
<
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>
et
<
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var
>
cuius pondus
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/>
diſtribuitur fecundum latitudinem
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>.m.r.</
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>
quæ maior eſt
<
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>
cogitemus igitur
<
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>.m.c.</
var
>
æ-
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/>
qualem eſſe
<
var
>.g.s.</
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>
manifeſtum erit, quod
<
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>.m.c.</
var
>
non ſuſtinebit totum pondus a quæ, quæ
<
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/>
inter
<
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>.g.m.</
var
>
et
<
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>
reperitur, eo quod omnis pars aquæ ad perpendiculum inclinat ver-
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ſus mundi centrum, quapropter fundus ſeu baſis
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non ſuſtinet aliud pondus
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aquæ
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ſed ſi quis hoc in dubium reuocaret dicens, quod aqua circunſcribens ſi-
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tum corporis aquei
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impellit lateraliter dictum corpus aqueum, reſpondendum
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eſt, quod ex æquo huius corporis
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aqua impellit etiam aquam circunſtantem,
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eo, quod ſunt corpora homogenea, cum in corporibus homogeneis æquales partes
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habeant æquales vires.</
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et
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dico quod ſicut aqua
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ſufficit ad
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aquæ
<
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<
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>a.u.</
var
>
ita quodlibet aliud pondus ęquale
<
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>.f.</
var
>
cuiuſuis materiæ, in fiſtula
<
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>.f.</
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>
poſitum, ſuffi-
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ciens erit, dummodo illud corpus ita ſit adæquatum concauitati fiſtulæ
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quod non
<
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permittat tranſitum aliquem aquæ vel
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aeris inter conuexum ipſius corporis,
<
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& deuexum fiſtulæ
<
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>
& hoc ex ſe ſatis
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patet, ſed in vaſe
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>
cum ex hypothe
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ſi latius ſit ipſo
<
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>
nullum aliud corpus
<
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ſufficiens erit ad reſiſtendum aquæ ip-
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/>
ſius
<
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>.f.</
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>
quin tam graue ſit, quam tota
<
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aqua
<
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exiſtente
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tam alto quam
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f. </
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nil plus eſſet
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quam vna tantummodo libra, & vas
<
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>.a.
<
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u.</
var
>
exiſteret latius ipſo
<
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>
in decupla pro
<
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portione, </
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oporteret
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corpus adæquatum ipſi concauitati po
<
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nere, cuius pondus eſſet decem libra-
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/>
rum, vt ſufficeret ad ſuſtinendum
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<
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ipſius
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& ad im
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ipſam
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<
var
>.
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f.</
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deberet eſſe plus quam decem libra-
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rum. </
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<
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323
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denſius eſſe aqua, vt maius
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non occupet, quam
<
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>
corpus igitur
<
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/>
<
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>o.e.</
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>
ſufficiens erit ad impellendum
<
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aquam
<
var
>.f.</
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>
& non eo minus.</
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