Iordanus <Nemorarius>
,
Iordani opusculum de ponderositate
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<
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id
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">Prima svppositio.
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<
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id
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">Omnis ponderosi motum esse ad me
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dium uirtutemque ipsius esse potentia ad
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inferiora tendendi uirtutem ipsius, siue
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potentia possumus intelligere longitu
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dinem brachij librae, aut uelociter eius
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quem probatur ex longitudine brachij
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librae, et motui contrario resistendi. </
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<
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id
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id.2.1.01.02
">Se
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cunda: Quód grauius est uelocius de
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scendere. </
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<
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id.2.1.01.03
">Tertia: Grauius esse in de
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scendendo quanto eiusdem motus ad medium rectior. </
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id
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id.2.1.01.04
">Quar
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ta: Secundum situm grauius esse cuius in eodem situ minus obli
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quus descensus. </
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<
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id
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id.2.1.01.05
">Quinta: Obliquiorem autem descensus in ea
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dem quantitate minus capere de directo. </
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<
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id
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id.2.1.01.06
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aliud alio secundum situm, quod descensum alterius sequitur
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contrario motu. </
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<
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id
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id.2.1.01.07
">Septima: Situm aequalitatis esse aequalitatem
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angulorum circa perpendiculum, siue rectitudi
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nem angulorum, siue aeque distantiam regulae su
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perficiei Orizontis.
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<
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">Quaestio Prima.
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<
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id
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id.2.2.01.01
">Inter quaelibet grauia est uirtutis, et ponde
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ris eodem ordine sumpta proportio.
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<
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id
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id.2.2.02.01
">Sint pondera a,b,c, leuius c, descendatque a,b, in d, et
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c, in e. </
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<
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id
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id.2.2.02.02
">Itaque ponatur a,b, sursum in f, et c,i,h. </
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<
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id
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">Di
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co ergo quód quae proportio a,d, ad c,e, sicut a,b, pon
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deris ad c pondus, quanta enim uirtus ponderosi tanta
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descendendi uelocitas: at quae compositi uirtus ex uirtu
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tibus componentium componuntur. </
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<
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id
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id.2.2.02.04
">Sit ergo a, aequale c.
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<
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id
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">Quae igitur uirtus a, eadem et, c. </
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<
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id
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id.2.2.02.06
">Sit igitur proportio a,
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b, ad c, minor quám uirtutis ad uirtutem. </
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<
s
id
="
id.2.2.02.07
">Erit similiter
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proportio a, b, ad a, minor proportio quám uirtutis a,b,
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ad uirtutem a, ergo uirtutis a, b, ad uirtutem b, minor pro
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portio quám a, b, ad b. per 30. quinti Euclidis quód est in
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conueniens. </
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<
s
id
="
id.2.2.02.08
">Similium igitur ponderum minor, et maior
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proportio, quám uirtutum. </
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<
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id
="
id.2.2.02.09
">Et quia hoc inconueniens erit,
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utrobique eadem ideo a, b, ad c, sicut a, d, ad c, e, et e, con
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trario sicut c, b, ad a, f.</
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