Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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dictum eſt in propoſitionis octauæ exemplo, non enim neceſſe eſt ha-
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bere duo corpora ex auro & </
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quam & </
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<
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">hac de cauſa diximus ſupra intelligãtur duo cor-
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pora, non autem accipiantur. </
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<
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xml:space
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">ſit igitur primi corporis aquei æqualis
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aureo A, inuenta grauitas G, ſecundi vero æqualis coronæ B, graui-
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tas F, & </
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ferentia inter G, & </
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grauitatem, quæ ſit K. </
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quod eſt in corona, E vero grauitatem auri.</
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">Vel ſi pro tertio proportionis termino ſumatur differentia inter F,
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& </
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<
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<
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ri, K vero argenti.</
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<
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<
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Elem.</
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cundo EK, quod & </
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eſt differentia inter G, & </
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F, vel differentia inter F, & </
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res fiet illuſtrior.</
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">Intellig antur duo corpora, vnum aureum, alterum argenteum, æque
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grauia atque corona, deinde trium corporum ex aqua, magnitudine
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æqualium, aureo ſcilicet corpori vnum, alterum coronæ, tertium cor-
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pori argenteo, inueniantur grauitates, vt in exemplo prop. </
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est, quæ ſint primi nimirum corporis aquei @, ſecundi vero 6, & </
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9 {8/31}, & </
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">9 {6/31}, boc eſt vt 4 {6/31}, ad 95,
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grauitatem videlicet coronæ, ita differentia inter 5, & </
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22 {17/26}, ergo 22 {17/26}, erit grauitas portionis argenti quod est in coro-
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na, qua detracta ex totali grauitate coronæ, reliquum 72 {9/26}, erit
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grauitas portionis auri.</
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& </
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">9 {6/31}, quæ eſt 3 {6/31}, quartus terminus 72 {9/26}, erit grauitas por-
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tionis auri, quæ ſi dematur ex totali grauitate coronæ, remanebit
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22 {17/26}, pro grauitate portionis argenti.</
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171. </
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