Fabri, Honoré
,
Dialogi physici in quibus de motu terrae disputatur
,
1665
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erit applicata, quæ ad locum Mediceæ quæſitum terminatur: vnde habeo
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diſtantiam ab E Perigæo nempe ſit vt DF, ad applicatam juventam, ſcili
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cet 6048. ad 2016. ita hæc ad tertiam; certè vt erit DF ad illam tertiam,
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id eſt, vt Quadratum 6048. ad Quadratum 2016. ita DE ad aliam, quæ
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erit menſura diſtantiæ à Perigæo. </
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<
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">Si verò quotiens ſit major 4. & ſit v.g. 7. cum reſiduo 3000. ſubtra
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ctis 4. ex 7. ſuperſunt 3. & 3000. partes, aſſumendæ à puncto G in D, vt
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habeatur locus Mediceæ quæſitus, ſi quotiens ſit 9. plus 5000. ſubtra
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ctis 4. ex 9, bis, ſupereſt 1. plus 5000. aſſumendæ ab F versùs D ; pro qui
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bus eodem modo quo ſupra calculus procedet: immò Gemina Parabola
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AFEG in 12. Signa dividi poſſet, aſſumptis tamen gradibus æqualibus
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in rectis FD, GD. eadem ratio facit pro aliis Mediceis, & hoc vnum
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dumtaxat diſcrimen eſt, quod iſtæ minores Parabolas, concentricas tamen
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majori deſcribant, & quod ſingularum diverſa ſit periodus maxima item
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digreſſio diverſa. </
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<
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">Ex dictis quædam deduco, & in certa capita diſtingo. </
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<
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">Primò, Diametri Iovis eadem ſemper menſura non eſt; hæc enim mi
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nor eſt, Iove ad Apogæum, major verò, ad Perigæum accedente, idque
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ex communi Opticæ regula; propiora enim ſub majore angulo videntur;
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hinc idem reticulum vtroque tempore adhibitum fallit. </
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<
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">Secundò, Hinc etiam maximæ digreſſionis menſura minor apparet,
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Iove non procul ab Apogæo ſito, major verò, dum hic ad Perigæum
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accedit, propter eandem rationem; hoc tamen non facit, vt ejuſdem Me
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diceæ maxima digreſſio modò plures, modò pauciores Iovis Diametros
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contineat; creſcit enim & decreſcit vtraque proportionaliter. </
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<
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id
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">Tertiò, Facit tamen altitudinis Planetæ differentia, vt tardiùs Iupiter in
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circulo diurno moveri videatur, quando accedit ad Apogæum ; velociùs ve
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rò, ad Perigæum; quia idem ſpatium in majore circulo minorem arcum
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continet, in minore, majorem. </
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">Quartò, Methodus illa ſtatuendi veram diſtantiam Mediceæ à centro
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Iovis, numeratis funependuli vibrationibus, ad definiendum tempus,
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quo ſpatium interjectum decurritur, ex duplici capite fallit; primò quia
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fortè omnes illæ vibrationes Iſochronæ non ſunt; ſecundò quia quò Iupi
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ter altior eſt, dato tempore, in circulo diurno, minorem arcum conficit; re
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ſtat igitur, prædictam diſtantiæ menſuram, adhibito reticulo, longè me
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liùs & accuratiùs conſtitui. </
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<
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">Quintò, Maxima Mediceæ digreſſio duobus modis à me ſtatuitur.
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<
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">Primò dato motu diurno, data etiam ſpatiorum æqualium, hoc motu
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confectorum juſta menſura; dato demum Mediceæ ad maximam digreſ
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ſionem proximè accedentis obſervato loco, puta in Y, ſeptima poſt Me
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ridiem hora, die ſequenti; eadem hora, dicta Medicea ſit in X ; divi
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datur YX, in P, tum aſſumpta PF æquali dimidiæ motus diurni men
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ſuræ; erit F maximæ digreſſionis quæſitus limes. </
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<
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">Secundò obſervato
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emerſionis ex vmbra projecta momento; v.g. ſit vmbra projecta DK,
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& Medicea, vbi primùm emergit ex vmbra, videatur in M, habetur di
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ſtantia MD, quæ eſt baſis trianguli DK M, habetur etiam angulus DKM; </
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