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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306
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0306
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<
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<
s
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xml:space
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">Vel ſi tibi placet, accipe hanc aliam methodum à me excogitatum.</
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<
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xml:space
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, & fiat
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<
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vt in mea figura
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ſecundi exempli hic vides. </
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quouſque
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æqualis ſit
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vnde
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cognita nobis erit ex hypotheſi, </
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<
s
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xml:space
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">quare cognoſcemus etiam quadratum
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à quo
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cum fuerit
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aggregatum
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type
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quadratorum
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et
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nobis
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(nam quadra
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ta
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et
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æqualia ſunt quadrato ipſius
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diagonalis datę) remanebit aggrega-
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tum
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cognitum, </
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<
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xml:space
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vndæ ex
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5.</
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ſecundi Eucli. vt ſuperius diximus cognoſcetur etiam
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et
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diſtinctæ.</
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<
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xml:space
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">Idem aſſero de
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Gemmæ Friſij à Stifelio citato in Appendice regulæ falſi.</
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<
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xml:space
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">Sit gratia exempli rectangulum hicſubſcriptum
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datæ ſuperficiei data etiam
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nobis ſit proportio
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ad
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laterum producentium,
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producta
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vſque ad
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ita vt
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æqualis ſit ipſi
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imagine
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xlink:href
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mus
<
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norm
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etiam
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perfectum eſſe quadratum
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vnde ex
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prima ſexti ſeu .18. vel .19. ſeptimi vel .15. quinti
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eadem proportio erit ipſius
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ad
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vt
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ad
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<
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>e.o.</
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vel ad
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>
</
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<
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xml:space
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">quare ex regula de tribus, cogno-
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ſcemus quadratum
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& eius
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<
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& ex ea
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demregula cognoſcemus
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cum cognita nobis ſit
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>.e.o.</
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ſimul cum proportione
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ad
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.</
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<
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">Quod circulus ſit figura infinitorum angulorum hoc eſt
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ultima poligoniarum.</
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<
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">SEd quod idem Stifelius in Appendice ſecundi libri dicat circulum eſſe figuram
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poligoniam, non eſt ita mirandum, nam & alij multi doctiſſimi viri hanc
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veritatem cognouerunt, de Leone Baptiſta Alberto nihil dicam, cum ipſe fateatur
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hoc accepiſſe à philoſophis, vt etiam refert Ariſt. de ſphæratertio de cœlo. </
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dera quæſo in circulo, quod cum angulus contingentiæ ſit angulus, quamuis
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acutorum rectilineorum anguſtiſſimus, vnde ex communi ratione ſequitur reliquum
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ex duobus rectis rectilineis eſſe angulum, & ſi omnium obtuſorum rectilineorum ſit
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ampliſſimum, tanto magis igitur erit angulus, id quod remanet ex duobus rectis re
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ctilineis, detractis
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fuerint duobus angulis contingentiæ, qui quidem angulus erit
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in quouis puncto circunferentiæ ipſius circuli, idem intelligendum eſt de ſphæra,
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cuius angulus eſt reſiduum ex quatuor rectis ſolidis, detractis cum fuerint quatuor
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angulis contingentiæ
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.</
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<
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">Explanatio .25. Problematis lib. 2. Monteregij.</
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">QVod in .25. problemate .2. lib. de triangulis Monteregium non intelligas, mi-
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rum non eſt, eo quod quandoque bonus dormitat Homerus. </
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lud problema ab ipſo Monteregio non fuiſſe viſitatum. </
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culpes, accipe hanc
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<
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a me aliter
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<
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in eadem ipſius figura.</
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