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. BABPT. BENED.
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quæ in vtraque extremitate vnciam vnam ſolum
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ponderis obtineat, & ſit libra
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æqualis priori, quæ pro ſingula extremitate
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ponderis libram habeat. </
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<
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mediam pon
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deris vnciam, brachium
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velocius cadat, quàm
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ipſi
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brachij
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. </
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<
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xml:space
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">Quod à duabus cauſis proficiſcitur, quarum prior eſt, magna differentia
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proportionis vnius libræ ad medietatem vnius vnciæ, ad proportionem vnius vnciæ
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ad ipſam medietatem, quia ſi pondus adiectum extremo
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dimidiæ eſſet libræ , &
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cum eadem tarditate brachium moueret, optimo iure in admirationem poſſet Ari-
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ſtoteles duci. </
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<
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locitate, qua media vncia brachium
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. </
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<
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xml:space
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nis intercederet, quod proficiſcitur à ſecunda ratione. </
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<
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xml:space
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">Et hæc, reſiſtentia eſt , quæ
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oritur à ſparto, quia quantò maius pondus continet libra, tantò magis præmit ſpar
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tum in loco, in quo ſuſtinetur; </
s
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<
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xml:space
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">vnde maior reſiſtentia in circunuolutione
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ſpar
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ti, in loco, in quo quieſcit, exoritur, quia ipſum eſt corpus materiale. </
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vellet, vt brachium
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eadem agilitate, qua
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deſcenderet, oporteret, vt propor-
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tio dimidiæ librę adiectæ ponderi ipſius
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quod eſt vnius libræ, vim ſuam haberet,
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quæ excederet reſiſtentiam ſui ſparti (me-
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dio brachiorum maiorum ijs qui ſunt
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>.a.i.
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e.</
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>
) ita proportionatam, vt proportionata
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eſt vis dimidiæ vnciæ ipſi e. iunctæ, reſiſten
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tiæ ſui ſparti. </
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xml:space
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">Huiuſmodi rationes cum ro-
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tis grauioribus
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, & ijs, quę à cor
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poribus quibuſlibet grauibus impelluntur, accommodatæ fuerint, titubantem intel
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lectum confirmabunt.</
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<
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">De uer a cauſa .12. questionis mechanice.</
head
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<
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xml:space
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head
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<
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xml:space
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">VEra ratio, cur multò longius corpus aliquod graue impellatur funda, quam
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manu, inde oritur, quòd circunuoluendo fundam, maior impræſſio impetus
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motus fit in corpore graui, quàm fieret manu, quod corpus liberatum deinde cum
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fuerit à funda, natura duce, iter
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à puncto, à quo proſilijt, per lineam contiguam
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giro, quem poſtremò faciebat, ſuſcipit. </
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non eſt, quin dicta funda
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maior impetus motus dicto corpori imprimi poſſit,
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ex multis circumactibus, ma-
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ior ſemper impetus dicto corpori accedat. </
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<
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xml:space
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">Manus autem eiuſdem corporis motus,
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dum illud ipſum circunuoluitur (pace Ariſtotelis dixerim) centrum non eſt, neque
<
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funis eſt ſemidiameter. </
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<
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xml:space
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">Immo manus quam maximè fieri poteſt in orbem cietur;
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</
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<
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xml:space
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">qui quidem motus in orbem, vt circumagatur etiam ipſum corpus, cogit, quod qui-
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dem corpus, naturali quadam inclinatione, exiguo quodam impetu iam incępto,
<
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/>
vellet recta iter peragere, vt in ſubſcripta figura patet, in qua
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>
ſignificat manum
<
var
>.a.</
var
>
<
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corpus
<
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>.a.b.</
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>
lineam rectam tangentem girum
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>
quando corpus liberum rema-
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net. </
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<
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xml:space
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">Verum quidem eſt, impręſſum illum impetum, continuò paulatim decreſcere
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vnde ſtatim inclinatio grauitatis eiuſdem corporis ſubingreditur, quæ ſeſe miſcens
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cum impręſſione facta per vim, non permittit, vt linea
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>
longo tempore recta per </
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