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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IO. BAPT. BENED.
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304
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file
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0304
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0304
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cum
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in puncto
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. </
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<
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tanto maior eſt
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quanto .109. eſt
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vno et
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etiam
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maior
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ergò eadem proportio erit
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ad
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quę
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ad
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>.t.
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c.</
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ſed cum angulus
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communis ſit ambobus triangulis
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et
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ſequitur ex .6.
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ſexti dictos triangulos æ quiangulos eſſe. </
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et
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æ quales inui
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cem ſunt, ergo
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æquidiſtans erit
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quod eſt impoſſibile, quia nunc demonſtra-
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uimus ipſas concurrere in puncto
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. </
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ad
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quæ
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<
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>n.t.</
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ad
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decipitur ergo Cardanus in .4. lib. de ſubtilitate.</
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<
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">Circa illud deinde quod à me quæris, hoc eſt, quæ ſit cauſa, quod nos videmus
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radium ſolarem tardiſſimè moueri, cum alias tibi dixerim ipſum qualibet hora cir-
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ca terram quindecim gradus perficere, reſpondeo, quod radius ille quem videmus,
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exempli gratia, in aliquo cubiculo, nunquam eſt idem numero, ſed quia ipſi radij
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nullo modo differunt inter ſe, niſi in numero, proptera putamus eundem ſemper eſſe,
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cum ſemper alius, atque alius ſit, quorum vnuſquiſque (de illis loquor, qui ad hunc
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terræ globum perueniunt) circa terram reuoluitur ſpatio .24. horarum, & cum quili
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bet circulus diuidatur in .360. gradus, quorum vigeſimaquarta pars eſt .15. verum
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eſt igitur, quod tibi iam dixeram.</
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">OPERATIONES DIVERSAE AB ALIIS
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Michaelis Stifelij.</
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in .2. exemplo. II. cap. Stifelius ſcribit in .3. lib. pag .282. non nego
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quin pulchrum ſit, ſed alijs pulchrioribus modis poſſumus illud idem de-
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monſtrare; </
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<
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xml:space
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">cogita igitur ſuperficiem rectangulam, cuius medietas ſit
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gulus rectangulus
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vnde ex ſuppoſito nobis cognita erit ſuperficies
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ipſius trianguli, tanquam dimidium totius parallelogrammi rectanguli cogniti.
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">Quare ex .25. ſecundi triangulorum
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, cognita nobis
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erunt
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latera
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et
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.</
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<
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">Alia etiam breuiori methodo idem poſſumus eſſicere, mediante angulo
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recto,
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eo quod cum nobis cognita ſit ſuperficies trianguli ſimul
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baſi
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cognita etiam
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nobis fit perpendicularis
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à puncto
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ad baſim, & conſequenter cognitum no-
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bis erit productum ipſius
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in
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& quia nobis cognita eſt
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& eius medietas, </
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