Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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quod intercedat diſcrimen inter hanc & dia
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trum ſuperiùs inuentam, nil mirum, quią
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vbi multiplex diuiſio intercedit, fractiones
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aliquæ neglegun
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tur, vnde demum
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aliqua oritur dif
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ferentia. </
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XXXV
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Idem aliter
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per Trigo
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nometriam.
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<
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>Sed placeat hìc
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vnum prætereą
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obſeruare, quo mi
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rificè ſum delecta
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tus, cum primùm
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animaduerti:
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Do-ctrinã
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ctrinam</
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ſcilicet Tri
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gonometricam illud idem exhibere poſſę,
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quod ab Algebrâ, in ſecundâ methodo indi
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catâ, poſt omnes æquationes ſubminiſtra
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tur. </
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<
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>Fiat enim vt Sinus Verſus comple
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menti anguli obſeruati, ad eiuſdem anguli
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obſeruati Sinum Rectum, ita nota altitudo
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ad aliud, & habebitur quæſita terræ ſemi
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diameter. </
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<
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>Sit enim CB terræ ſemidiame
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ter, BA nota altitudo, AD linea optica tan
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gens in D, per quod ex centro C ducatur re
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cta CD, quæ producta in E occurrat peri
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pheriæ circuli, interuallo CA, ex eodem
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centro deſcripti. </
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<
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>Eadem ergo eſt Ratio AB
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ad BC, quæ eſt ED ad DC. </
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<
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>Eſt autem AD </
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