Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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mentatis tribus tigillis, ducatur recta AB
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vnciarum 10. ex. </
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<
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>gr. & ſuper eâ fiat triangu
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lum æquilaterum AEB. </
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<
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>Quod ſi tigilli ni
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mis longi eſſent, interuallo A
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e
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deſcribantur
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duo arcus ſe inuicem ſecantes in
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i
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, & inter
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uallo A
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u
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arcus ſe ſecantes in
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o
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: per hæc enim
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puncta ductâ lineâ ex A, accipi poterit AE
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æqualis ipſi AB, & erit angulus BAE gr. 60.
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Relinquitur autem tigillus EF longior, vt in
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FA ſecundùm rectam EA productam in F
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conſtituatur tubulus H infundibuli in mo
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rem excauatus, per quem viſus rectâ traii
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ciatur in deſtinatum ſcopum per aciculam
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in E perpendiculariter erectam, ex qua de
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pendet perpendiculum; hoc enim facit cum
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lineâ EA angulum diſtantiæ obiecti à verti
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ce obſeruatoris. </
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<
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>Quantitas verò huius an
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guli per Trigonometriam reperitur ex datis
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lateribus AE, & A
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u
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& angulo
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u
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AE compre
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henſo gr. 60. ex conſtructione. </
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<
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>Vel ſi fortè
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breuiùs operari placeat, fingatur ex E puncto
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in ſemiſſem lateris AB cadere linea perpen
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dicularis, cuius quantitas facilè innoteſcit:
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deinde illâ aſſumptâ vt Radio, vt Tangentę
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verò diſtantiâ perpendiculi à medio lineæ
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AB, angulus quæratur, quem facit perpen
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diculum cum fictâ illâ perpendiculari; hic
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enim angulus additus gradibus 30. ſi perpen</
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