Fabri, Honoré
,
Dialogi physici in quibus de motu terrae disputatur
,
1665
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tum in explicando Apogæi motu, tum in excogitanda aliqua ratione Ano
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maliæ Solis; Sol enim, vt nemo neſcit, ſtatuto Apogæo in D, plures dies
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ponit à Tropico Cancri ad Æquatorem, quàm ab Æquatore ad Tropicum
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Capricorni. </
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Antim.
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s.000243
"> Rectè omninò: Hinc vides, ni fallor, duo triangula ABD,
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ACH eſſe proportionalia, quia æquiangula; ac proinde, vt AD ad AH,
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ita BA ad AC; igitur AC eſt minor AB; igitur breviore tempore de
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curritur: ſepoſito enim motu circulari, cum prima inclinatione, ſit mo
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tus acceleratus à B ad A, & retardatus ab A versùs C, ſi ſpatia ſint, vt
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lineæ BA, AC, ſitque inter BA, AC media proportionalis BY, erunt
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tempora vt YB, AB; ſunt enim ſpatia in duplicata ratione tempo
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rum. </
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<
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">Hoc autem ex duplici analogia facilè intelligitur; Prima eſt;
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Sit corda tenſa BC, tendatur vltrà in BAC, affixo
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gemino clavo in FG, redit in BC motu accelerato; hic
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eſt acceſſus; per receſſum verò pervenit in FEG; ita vt
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DE ſit ad DA, vt DF ad DB; tempus autem acceſſus
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eſt ad tempus receſſus, vt AD ad DE. </
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<
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">Alia verò ſit
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hæc; ſit BI funependulum in perpendiculo, pendens ex
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B, ſitque affixus clavus in F, ita prima ſemivibratio fiat per
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arcum AI, altera verò per IE, ſit inter AD, DE, media
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proportionalis AO, tempus vibrationis AI erit ad tem
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pus vibrationis IE, vt AD ad AO; ſunt enim tempora in
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ſubduplicata ratione ſpatiorum, vt conſtat ex doctrina mo
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tuum. </
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<
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">Vtraque analogia facilè applicatur. </
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<
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">Quod verò ſpe
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ctat ad rationem motus accelerati, vt ad calculos reduca
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tur, fortè poſſet accipi quadrans circuli BZ, qui repræſen
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tet tempus acceſſus diviſum in quotcunque partes æqua
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les. </
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<
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">v. g. accipiatur (
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in Figura priore
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) BN, arcus 30.
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graduum demittatur NM perpendicularis, acceſſus pro
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motus eſt illo tempore ſegmento BM, vel vt ad Phyſicas
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cauſas propiùs accedatur, acciperet aliquis ſemiparabo
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lam ABZ, cuius Axis ſit BA, applicata quælibet, ſeu
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ſemibaſis AZ, hæc ſi dividatur in quotcumque partes
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æquales, puta in 90. repræſentat tempus acceſſus, v.g. ab initio acceſſus
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ſit tempus AO 45.graduum; ducatur ON parallela Axi AB, tum appli
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cata NM, applicatæ AZ parallela, BM erit menſura ſpatij decurſi in
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acceſſu, nec fortè vna progreſſio multùm differt ab alia, vt patet ex
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calculatione; vix enim aſſumptis quotcunque partibus temporis, diffe
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rentia ſpatiorum acceſſus vnum gradum integrum adæquat; ſed profectò,
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vt Aſtronomicè vtramque probo, ita neutram phyſice admitto; germa
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nam dabimus ſuo loco & Phyſicam. </
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<
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">Hæc enim obiter quatenus ad rem
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noſtram facit, hîc tantùm indico; ſed alibi juſtum cúmque integrum tra
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ctatum edemus </
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Auguſtinus.
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<
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id
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"> Acceſſus ab Apogæo ad Perigæum, & viciſſim, eodem
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modo ad calculos reducitur, aſſumpta ſemiparabola ſub Axe EV; item-</
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