Casati, Paolo - Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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1mentatis tribus tigillis, ducatur recta AB
vnciarum 10. ex. gr. & ſuper eâ fiat triangu
lum æquilaterum AEB. Quod ſi tigilli ni
mis longi eſſent, interuallo Ae deſcribantur
duo arcus ſe inuicem ſecantes in i, & inter
uallo Au arcus ſe ſecantes in o: per hæc enim
puncta ductâ lineâ ex A, accipi poterit AE
æqualis ipſi AB, & erit angulus BAE gr. 60.
Relinquitur autem tigillus EF longior, vt in
FA ſecundùm rectam EA productam in F
conſtituatur tubulus H infundibuli in mo
rem excauatus, per quem viſus rectâ traii
ciatur in deſtinatum ſcopum per aciculam
in E perpendiculariter erectam, ex qua de
pendet perpendiculum; hoc enim facit cum
lineâ EA angulum diſtantiæ obiecti à verti
ce obſeruatoris. Quantitas verò huius an
guli per Trigonometriam reperitur ex datis
lateribus AE, & Au & angulo u AE compre
henſo gr. 60. ex conſtructione. Vel ſi fortè
breuiùs operari placeat, fingatur ex E puncto
in ſemiſſem lateris AB cadere linea perpen
dicularis, cuius quantitas facilè innoteſcit:
deinde illâ aſſumptâ vt Radio, vt Tangentę
verò diſtantiâ perpendiculi à medio lineæ
AB, angulus quæratur, quem facit perpen
diculum cum fictâ illâ perpendiculari; hic
enim angulus additus gradibus 30. ſi perpen

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