Casati, Paolo
,
De igne dissertationes physicae
,
1686
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481 - 510
511 - 540
541 - 570
571 - 600
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Diſſertatio Septima.
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tantâ diminutione æquum eſt cenſere adhuc reliquas aquas ad
<
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magnam altitudinem aſſurgere.</
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<
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<
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<
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xml:space
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">Grad. </
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<
s
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echoid-s20784
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xml:space
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">Ex illâ aquarum deceſſione, niſi me fortè fallit mea
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ratiocinatio, modicè decrevit altitudo. </
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<
s
xml:id
="
echoid-s20785
"
xml:space
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preserve
">Cum enim ſuperio-
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ribus diebus in diluvii mentionem incidiſſemus, & </
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<
s
xml:id
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echoid-s20786
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xml:space
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">præter fon-
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tium eruptiones, atque imbres maximos è nubibus delapſos,
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etiam ex apertis Cœli cataractis aquas decidiſſe ſtatuiſſemus,
<
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domum reverſus cœpi curioſiùs inquirere, quantum aquarum
<
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cœleſtium oportuiſſet deſcendiſſe, ſi iis Solis univerſus orbis
<
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/>
fuiſſet coopertus. </
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>
<
s
xml:id
="
echoid-s20787
"
xml:space
="
preserve
">En autem opportunè apud me eſt illa ipſa
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ſchedula, in quâ Rationes inii, & </
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>
<
s
xml:id
="
echoid-s20788
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xml:space
="
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">ſubduxi, non quidem om-
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ninò minutâ ſubtilitate, ſed craſſiuſculè, licebitque ex eâ
<
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/>
numerorum notas legere. </
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>
<
s
xml:id
="
echoid-s20789
"
xml:space
="
preserve
">Primùm ſtatui ſupremam Firma-
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menti ſuperficiem, cui cohæret infima aquarum ſuperficies,
<
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abeſſe à Telluris centro ſemid. </
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>
<
s
xml:id
="
echoid-s20790
"
xml:space
="
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">terr. </
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<
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xml:id
="
echoid-s20791
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xml:space
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">100000.</
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<
s
xml:id
="
echoid-s20792
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xml:space
="
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">, totamque dia-
<
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metrum ſemid. </
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<
s
xml:id
="
echoid-s20793
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xml:space
="
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">200000. </
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>
<
s
xml:id
="
echoid-s20794
"
xml:space
="
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">Cum autem in circulo Ratio diametri
<
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/>
ad peripheriam ſit proximè ut 113. </
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<
s
xml:id
="
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xml:space
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">ad 355.</
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<
s
xml:id
="
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xml:space
="
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">, erit circuli maxi-
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mi orbita ſemid. </
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<
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xml:id
="
echoid-s20797
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xml:space
="
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">628318 {66/113}. </
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<
s
xml:id
="
echoid-s20798
"
xml:space
="
preserve
">Et quia cujuslibet globi ſuperfi-
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cies Sphœrica, cum ſit quadrupla circuli maximi, habetur
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ex ductu diametri in circuli maximi peripheriam, erit Fir-
<
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mamenti ſuperficies convexa ſemid. </
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<
s
xml:id
="
echoid-s20799
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xml:space
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">terr. </
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<
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="
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xml:space
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">quadratarum 125663.
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</
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<
s
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="
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xml:space
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">716814. </
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<
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="
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xml:space
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">Eſt autem ex Ricciolio in Geograph. </
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<
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">lib. </
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<
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">cap. </
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<
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">1. </
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<
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Terræ ſemidiameter milliar. </
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<
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">Rom. </
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<
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xml:space
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">Veſpas. </
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<
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="
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xml:space
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">4673 {493/1000}, cujus
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quadratum 21, 841536 {821/1000}. </
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>
<
s
xml:id
="
echoid-s20811
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xml:space
="
preserve
">Si per hunc numerum, neglectâ
<
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fractione, multiplicetur Firmamenti ſuperficies inventa, inno-
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teſcit in milliaribus quadratis 1. </
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<
s
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xml:space
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">744688. </
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<
s
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xml:space
="
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">594686. </
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<
s
xml:id
="
echoid-s20814
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xml:space
="
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">786304. </
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>
<
s
xml:id
="
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xml:space
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">Deinde
<
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Terræ diametrum milliar. </
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>
<
s
xml:id
="
echoid-s20816
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xml:space
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">9346 {986/1000}. </
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<
s
xml:id
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echoid-s20817
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xml:space
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">ducebam in ejuſdem pe-
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ripheriam apud Ricciolium mill. </
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<
s
xml:id
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xml:space
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">29349 {540/1000}, & </
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<
s
xml:id
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xml:space
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">prodiit terræ
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ſuperficies mill. </
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<
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<
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">274. </
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<
s
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xml:space
="
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">329739 {486/1000}. </
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<
s
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="
echoid-s20823
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xml:space
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">Et quia compara-
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tis invicem tùm Firmamenti, tùm Terræ ſuperficiebus, ſi ea-
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dem eſſet aquarum ſuper utramque altitudo (accipiatur ſu-
<
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/>
perficies quaſi plana eſſet) eſſent aquarum moles in Ratione
<
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ipſarum ſuperficierum, etiam erit moles aquæ ſuper Firma-
<
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/>
menti ſuperficiem, ęqualis moli aquę ſupra ſuperficiem Terrę,
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ſi altitudines ſint in reciprocâ Ratione ipſarum ſuperficierum.</
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