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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109
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THEOREM. ARIT.
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121
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0121
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cum dimidio, ut in figura
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geometrica hic ſubſcripta videre licet, et
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erit .21.
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Cogitemus nunc differentiam
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diuiſam eſſe in puncto
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ita vt eadem proportio
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ſit ipſius
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ad
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quæ ipſius
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ad
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hoc eſt vt .1 2. ad .9. quapropter
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erit
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2.</
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et
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erit .1. cum dimidio, vt in dicta figura
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arithmetica reperiuntur eſſe dif-
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ferentiæ ipſorum antecedentium numerorum, deinde à puncto
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ducatur imagina-
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tione
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æ quidiſtans ipſi
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& producatur
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vſque ad
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vnde ita ſe habebit
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ad
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ut
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ad
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. </
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ad
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ideo ex .15. ſexti vel .20. ſeptimi
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rectangulum æquale crit ipſi
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qua propter rectang ulum
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æquale erit duobus
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rectangulis
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et
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: ſed cum
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ſit vt .6. cum dimidio, et
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vt .1. cum dimidio, er
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go
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erit ut .8. qui quidem numerus multiplicatus cum
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21. producit .168. ve
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rum eſt igitur quod dictum fuit, hoc eſt
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maximum productum ęquale ſit reliquis
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duobus.</
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