Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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que ſemidiametrum latere non poſſe de
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monſtro. </
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>Sit enim, exempli gratiâ, nota altitudo
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BA Phari Genuenſis (laternam vocant) cum
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ſcopulo palmorum Genuenſium 440, hoc
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eſt pedum Rom. ant. </
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<
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>480, obſeruatusque
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angulus BAD ſit gr. 89. m. 36. ſec. 33. Quo
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niam ergo linea AD circulum tangit in D,
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angulus CDA eſt rectus. </
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>Ex B ducta intel
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ligatur BE parallela ipſi CD; eſtque triangu
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lum ABE rectangulum ad E, cuius hypo
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thenuſa AB, & angulus adiacens innotue
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runt. </
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<
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>Quare fiat vt Radius 100000. 00000.
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ad ſinum gr. 89. m. 36. ſec. 33. hoc eſt 99997.
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67348, ita AB ped. 480. ad BE ped. (479
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98883.27040/100000.00000). Porrò triangula ABE, ACD æqui
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angula ſunt propter linearum BE, CD pa
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ralleliſmum, adeoque & ſimilia, ac vt AB
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ad BE, ita AC ad CD. </
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<
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>Ponatur autem BC
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vna Radix Algebricè. </
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<
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>Igitur vt AB ped. 480
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ad BE ped. (479 98883.27040/10000000000), ita AC ped. 1 ℞ +
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480 ad CD ped. (47998883.27040/48000000.00000) ℞ + (479 47463969.79200/48000000.00000).
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Eſt autem CD æqualis ipſi CB 1 ℞. </
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<
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factâ Antitheſi iuxta Algebræ regulas, ma
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net æquatio inter hos terminos (111672960/48000000.00000) ℞ &
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pedes (479 47463969.79200/48000000.00000). Inſtitutâ denique di
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uiſione prodit quotiens ped. 20631193., </
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