Casati, Paolo
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Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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BA ſimul ſumptæ maiores ſunt quàm AD,
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igitur exceſſus ipſius
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AD ſupra rectam BD
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minor eſt, quàm ſit
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data altitudo BA; er
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go multò minor eſt
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exceſſus rectæ AD
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tangentis ſupra ar
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cum BD, vel arcûs
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BD ſupra rectam BD
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ſubtenſam. </
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>Ne verò
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poſitâ altitudine BA notabili, cenſeret quis
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inſignem quoque eſſe differentiam inter cur
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uam & rectam lineam, quæ locorum inter
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ualla metiatur, animaduertere oportet ar
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cum BD maiorem eſſe latere BD polygoni
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inſcripti, minorem autem latere EF polygo
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ni circumſcripti: at exceſſus lateris EF ad la
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tus BD habet Rationem, quam EB ad BC. </
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Vnde liquet manifeſtè, quàm modico di
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ſcrimine differat arcus à rectâ vel ſubtensâ
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BD, vel tangente EF. </
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XXXXII. </
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Differentia
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longitudinis
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inter arcum
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et eius Tan
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gentem vel
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ſubtenſam.
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>Memini me aliquando calculos ſubducen
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tem, quàm longè pateat viſus Romæ è ſum
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mo crucis apice, quæ ædis Apoſtolorum
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Principi ſacræ tholo incumbit. </
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ſe arcum DB gr. o. </
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>m. </
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>23. ſtatuebam autem
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in ſingulos gradus milliaria Italica 60, vt </
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