Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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QVÆSTIO XX.
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De Statera.
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259</
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<
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id
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">Antequam ad textus explicationem accedamus, conſultius eſſe iu
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dico veteris ſtateræ figuram, atque deſcriptionem præmittere,
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quàm ex hoc Ariſt. loco, magna mihi licuit cum delectatione col
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ligere: quod etiam antiquitatis ſtudioſis pergratum fore non du
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bito:
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hinc etiam ineptas,
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ad ſcititias textus huius figuras tanquam
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adulterinas reijcere;
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inq́
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; earum locum veras reſtituere licebit. </
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<
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ſtatera, quantum ex Ariſt. conijcio
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primum haſta oblonga, qualis eſt in
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præſenti figura A B, ex cuius altero
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extremo B, pendebat appendicu
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lum, quod propriè æquipondium
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dicitur: ex altera verò extremitate
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A, lanx vna pendebat; in qua carnes, aliæuè merces ponderabantur: in me
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dia
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deniq;
">denique</
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haſta paribus interuallis plures trutinæ, ex quibus ſingulis modo
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hac, modo illa, prout pondus emptoris poſtulabat ſuſpendebatur,
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atq;
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in
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terim tantum mercis lanci imponebatur, donec æquipondio præpondera
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ret in æquilibrio. </
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<
s
id
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s.003102
">ſingulæ autem trutinæ ad aliquod determinatum pondus
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trutinandum, erant conſtitutæ, v. g. vna ad ſex libras, altera ad octo, &c.
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</
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<
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id
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">quam diuiſionem, ac fabricam ſtateræ non eſt difficilè exhibere, cum ex Ar
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chimede propoſ. </
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<
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">6. & 7. de æquip. </
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<
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id
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">eadem ſit proportio inter pondus mer
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cis, & pondus æquipondij, quæ eſt permutatim inter diſtantias vtrinque ab
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aſſumpta trutina, quæ in trutinando hypomoclij vicem gerit: nam ſtatera
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reducitur ad vectem; pondus erit æquipondium; & merces in lance erit po
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tentia mouens: ſunt autem in tota ſtateræ haſta trutinæ plures, hoc enim
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modo tota fit vniformis quoad pondus. </
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<
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id
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">æquipondium præterea debet ha
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bere tantum pondus, quantum eſt in nuda lance, vt ſic tota ſtatera ſit per ſe
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ſola æquilibrabilis: & præterea debet habere pondus ſtatum, a c legitimum,
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v. g. vnius libræ, aut duarum, aut trium, prout magis
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abbr
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trutinãdæ
">trutinandæ</
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merci ido
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neum erit, & hoc erit proprium æquipondij pondus. </
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<
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id
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">vt autem ex ſingulis
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trutinis ſingula pondera ponderentur. </
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<
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id
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">ſingulis nota aliqua ſculpenda eſt, vt
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facilè mercatores merces ponderent, quod hac ratione fieri poteſt. </
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<
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id
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">pona
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mus æquipondium eſſe 12. librarum. </
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<
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id
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">dico, quod trutina C, dabit in lance
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pondus mercis 12. librarum, ſi ex ea fiat æquilibrium, eſt enim vt A C, ad
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C B, ita permutatim æquipondium 12. ad mercem; ſed A C, ipſi C B, eſt
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æqualis, ergò etiam æquipondium 12. erit merci æquale, hoc eſt vtrunque
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erit, 12. librarum.</
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<
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">Similiter ſi fieret æquilibrium ex trutina D, eſſet vt A D, 3. ad B D, 9.
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ita 12. ad 36. tandem trutina E, æquilibrante, eſſet vt A E, 9. ad E B, 3. ita
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12. ad 4. Si igitur trutina C, notetur 12. numero, trutina D, num. </
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<
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id
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">36. tru
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tina E, num. </
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<
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id
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">4. & idem de cæteris: ſtatim facilè erit quodlibet pondus per
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huiuſmodi ſtateram exhibere. </
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<
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id
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">Vnde videas contrario ab illis modo in </
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