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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EPISTOL AE.
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0355
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xlink:href
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gis erit maior proportio ipſius
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ad
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quam ipſius
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ad
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ergo non æqualis,
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quapropter impoſſibile eſt
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eſſe radium
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reflexum incidentis radij
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. </
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<
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tur concurſum radiorum reflexorum à ſpe-
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culo ſphærico concauo non eſſe in vno, &
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e
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unsure
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odem puncto ipſius catheti incidentiæ,
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quando à ſitu non æquidiſtanti ab ipſo ca-
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theto
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, ex hac ſpeculatione
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videre licet, verum eſſe id quod in .3. Epiſto
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la tibi ſcripſi nempe, quod quotieſcunque
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axes viſuales, vel radij reflexi, in vna ea-
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ſuperficie reflexionis fuerint, </
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imago obiecti nullo modo videbitur in ca-
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theto incidentiæ, in ſpeculo ſphærico con-
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cauo.</
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">NOn abſque ratione dubitas, vtrum etiam in ſphæricis ſpeculis conuexis idem
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accidat, hoc eſt, an radij reflexi à punctis inęqualis diſtantiæ à catheto inciden
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tiæ conueniant inuicem in eodem catheto.</
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">Ad quod reſpondeo, non concurrere in dicto catheto, ſed extra ipſum, & ſimi-
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liter extra ipſum vide bitur imago.</
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<
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<
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">Pro cuius rei ratione, imaginemur ſuperficiem reflexionis alicuius ſpeculi ſphæ-
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rici conuexi
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cuius communis ſectio cum ſuperficie ſphærica ſit linea
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circularis
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et
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eius
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, à quo protrahatur
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indeterminata, et
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ſit ſe
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midiameter circuli
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et
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ſit plus medietate ipſius
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linea
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minor ipſa
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ſed maior ipſa
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quod difficile non erit, locando im
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mobilem pedem circini in puncto
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c.</
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aperiendo ipſum aliquantulum
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plus quam
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ſed minus quam
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o.</
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ſignando circunferentiam
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in puncto
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quod ex .7. tertij poſſi-
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bile eſt, protrahatur poſtea
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indeterminatè. </
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angulum
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æqualem angulo
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e.c.</
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protracta poſtea cum fuerit
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indeterminatè,
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duos
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angulos
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et
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æquales in-
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uicem mediante .15. primi, ita
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ſi
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radius incidens veniet à puncto
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ad
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reflexus erit
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qui quidem </
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