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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146
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minis vſque ad planiſitum in quo degradatio facta ſit: </
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xml:space
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oculi à pe
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de, quæ tanta ſemper eſſe debet quanta eſt altitudo trianguli
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qui clauditur,
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protrahendo
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et
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vſque ad concurſum in
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in lucem prodibit. </
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xml:space
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deinde erigere lineam
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perpendicularem lineæ
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& vſque ad eandem pro
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ducere lineam
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in puncto
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et à puncto
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per
<
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>.E.</
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vſque ad
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ipſius
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produ
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ctæ ducere
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atque deinde protrahere lineam
<
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vſque ad
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var
>
ita vt
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var
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ęqua
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lis ſit ipſi
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>
& ad ipſam à puncto
<
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>.m.</
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ducere parallelam
<
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>
& à puncto
<
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>.T.</
var
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ducere
<
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T.R.</
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parallelam ipſi
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. </
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<
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xml:space
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">Vnde ex .34. primi Eucli
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æqualis erit ipſi
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et
<
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T.</
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ipſi
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& anguli in rectos euadent, atque hoc parallelo grammum rectangulum
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erit verum perfectum degradati
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obrationes à me circa
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adductas.
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xml:space
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">Sed eſt hic quod magis nos commoueat, quia cum ex linea
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quadratum
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pro
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duxerit, vult eum poſtea degradare. </
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<
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xml:space
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4.</
num
>
ſecundæ partis Danielis Barbari) oculum
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in eadem ſuperficie extenſa,
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quadrati
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collocat. </
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xml:space
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">Quod rectè fieti non poteſt, quia oculum hoc mo-
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do locantes, viſualesq́ue radios beneficio vnius plani ſituati in
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>
ſecantes in ipſo
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plano, nihil aliud quam
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type
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<
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lineam
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type
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<
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&
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norm
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nullam
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type
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>
<
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norm
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degradationem
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type
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<
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type
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. </
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natura ſua ſit omnibus notum, ponit
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id ipſum Vitelio pro quinta propoſitione
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quarti libri de perſpectiua. </
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xml:space
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">Præter hæc, credit latera
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et
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var
>
quadrati degra-
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dati ſemper videri mediantibus angulis
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et
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quod fieri
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type
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poteſt, quem-
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a dmodum ex mea figura corporea
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facilè cognoſcere poſſumus, </
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latera
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et
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meæ figuræ, mediantibus angulis
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var
>
et
<
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var
>
qui extra ſuperfi-
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ciem
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var
>
exiſtunt videntur, vnde ſi quis imaginaretur in puncto
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var
>
oculum eſſe, &
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/>
ab ipſo ad
<
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var
>
et
<
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var
>
duas lineas duceret, angulus
<
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var
>
nunc maior, nunc minor eſſet
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/>
angulo
<
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>
aliquando etiam æqualis, quamuis rariſſime; </
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>
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xml:space
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">Sub diuerſis igitur an-
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gulis, pro maiori parte, deteguntur latera, à partibus quadrati tam degradati, quàm
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/>
perfecti, quæ non ſunt anguli
<
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var
>
et
<
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var
>
. </
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<
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xml:space
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proportionem eſſe ab
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>
ad
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>
& ſimul ad
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var
>
quæ eſt ab
<
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var
>
ad
<
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>
id tuo relin </
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