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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fuiſſet longior
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per decem vi-
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ces tantummodo, exiſtente oculo in
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per gradus .90. ab
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vel
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n. ab ipſo oculo non videretur ob terræ globoſitatem. </
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<
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u. recta
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tangens quartam
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in puncto
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vt in ſecunda figura videre eſt, in qua
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ducantur
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: et
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quæ
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ſecabit arcum
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b. in puncto
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per æqualia et
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ſimiliter in pun-
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cto
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quod nulli dubium eſt, cum
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æqualis ſit
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ex .35. tertij Euclidis, </
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gulus
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æqualis erit angulo
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& ideo arcus
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æquabitur arcui
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ſed ex .4. primi
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æqua
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lis erit ipſi
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.</
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<
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<
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xml:space
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decima parte ipſius
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nemi
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ni dubium erit quod cum
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ſubtendatur angulo
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recto
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(iam ſupra diximus angulum
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ſenſibi-
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liter minime differre à recto) ipſa vt ſinus totus erit
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partium .100000. cuius quadratum cum diuiſum
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fuerit in partes æquales centum &
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, illarum vna
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æqualis erit quadrto
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reliquę vero quadrato ip-
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ſius
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ex proportione duplicata quadratorum ad
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eam quam continent eorum latera. </
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xml:space
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tum ipſius
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eſt partium .10000000000. </
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<
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xml:space
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quadratum
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erit .99009900. cuius radix
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erit partium .9950. vnde quadratum ipſius
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erit
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partium .9900990100. cuius radix
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99500. vnde angulus
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erit graduum .84. & mi
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nu .17. & angulus
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qui reſpondet ſinui
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erit
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gra .5. & min .43. cuius duplum, hoc eſt angulus
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erit grad .11. min .26. æqualis ferè angulo iam
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ſupradicto. </
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ſinus anguli
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erit ſimiliter
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partium .99500. talium vt
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ſunt .100000. ſed vt
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eſt partium .9950. </
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erit partium .9900
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hoc eſt quaſi decima pars ipſius
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non videbit punctum
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hoc punctum be-
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ne videbitur ab oculo in
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abſque ſenſibili dimi-
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nutione anguli in puncto
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vt probauimus.</
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<
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">DE MAGNITVDINIBVS FIGVRARVM
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iſoperimetrarum.</
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">Domino Ioanni Mariæ Agatio.</
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<
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à Theone ſupra Ptolomei Almageſtum ſufficienter traditum
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ſit de magnitudinibus figurarum iſopetimetrarum, nihilominus vt tibi
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morem geram, ea nunc ſcribo, quæ mihi in mentem venerunt contra
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Piccolhomineum,
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type
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aliquid ipſius Theonis vidiſſem </
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