Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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Cap. 7. dę
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natura flui
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ditatis.</
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PROP. CXXXVI.
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Partes quantæ actu infinitæ numero, & inter ſe inæquales
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componunt extenſionem infinitam.
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<
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">SInt partes AB, CD, EF, GH, IK, &c. </
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<
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finitæ, & inter ſe inæquales. </
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">Dico extenſionem
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infinitam conflare. </
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<
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">Quia dantur omnes partes quan
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tæ numero infinitæ, ergò datur earum minima, quæ
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ſit AB, & ex reliquis maioribus ſecentur portiones
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CL, EM, GN, &c. </
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<
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">ſingulæ æquales minimæ AB; &
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quia particulæ infinitæ inæquales
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AB, CD, EF, &c. </
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ſionem
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componũt
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, quàm partes in
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finitæ diminutæ, inter ſe æquales
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AB, CL, EM, &c. </
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">&, ex præcedenti,
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infinitæ particulæ quantæ eiuſdem generis AB, CL,
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EM, &c. </
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<
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">inter ſe æquales componunt extenſionem̨
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infinitam, ergò multò magis inſi initæ partes illis ma
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iores inæquales AB, CD, EF, &c. </
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<
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nitam efficient, quod erat. </
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PROP. CXXXVII.
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Si eiuſdem aggregati aliquæ partes moueantur cæteris quie
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ſcentibus, vel omnes inæqualibus motibus agitentur,
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qui tamen non competant, nec aptari posſint
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partibus corporis duri, & conſistentis, ne
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ceſſariò illius aggregati partes erunt
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actu diuiſæ.
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