Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              producta per H ad X; </s>
              <s id="N239EF">erunt haud dubiè 4.lineæ, quibus eadem applica­
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              ta potentia cum altera in A ſuſtinebit pondus, ſcilicet HE & oppoſita
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              HI, HB cum oppoſita HX, ſuppono enim HB eſſe æqualem HE, & BH
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              pellere verſus H: quæ omnia certè obſeruaſſe non piget, præſertim cùm
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              tota res iſta iucunda iuxta, atque vtilis eſſe videatur. </s>
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              Corollarium
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              1.
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              <s id="N23A0C">Colligo primò ex his determinationem impetus producti in puncto
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              O eſſe omninò ſimplicem à propria ſcilicet ponderis penduli grauitatio­
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              ne, nec quidquam facere potentiam applicatam in A; </s>
              <s id="N23A14">quippe impetus
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              determinatur ad Tangentem OQ, quæ eſt eadem cum linea grauitatio­
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              nis; vnde reuerâ ſuſtinetur totum pondus in O. </s>
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              Corollarium
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              2.
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              <s id="N23A2E">Secundò, ſi pondus ſit in D, eſt determinatio mixta vtraque æqualis,
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              nam neque potentia retinens in A eſt maior potentia grauitationis in­
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              clinantis deorſum; </s>
              <s id="N23A36">alioquin ſi maior eſſet, præualeret; </s>
              <s id="N23A3A">igitur mobile fer­
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              retur verſus A; </s>
              <s id="N23A40">cùm tamen quieſcat in D, nec etiam maior eſt potentia
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              grauitationis; </s>
              <s id="N23A46">alioqui pondus ferretur deorſum, nec dicas nullam eſſe
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              potentiam applicatam in A; </s>
              <s id="N23A4C">nam reuerâ, ſi quis ex puncto A ſuſtinet
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              pendulum pondus, maximè defatigatur, & maximè agit eius potentia mo­
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              trix; quomodo verò ſuſtineantur pondera, dicemus lib. 10. </s>
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              Corollarium
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              3.
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              <s id="N23A65">Tertiò, ſi pondus ſit in H vel in L eſt determinatio mixta ex duabus
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              inæqualibus, ita vt determinatio potentiæ, quæ eſt applicata in A ſit mi­
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              nor determinatione, quæ eſt à grauitatione ponderis; </s>
              <s id="N23A6D">ſit enim pondus in
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              H, ſitque determinatio altera per lineam HA, altera per lineam HG; </s>
              <s id="N23A73">ſi
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              vtraque æqualis eſt, linea determinationis mixtæ non eſſet Tangens HF; </s>
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              nec enim angulus AHG diuidit æqualiter bifariam ipſam HF; atqui
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              cum vtraque determinatio eſt æqualis, poſita quod vtraque linea faciat
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              angulum, linea nouæ determinationis facit angulum vtrimque æqualem,
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              vt demonſtrauimus ſuprà. </s>
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              Corollarium.
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              4.
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              <s id="N23A96">Quartò hinc colligo, determinationem, quæ eſt à potentia applicata
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              in A creſcere continuè ab O ad D, ita vt in O ſit nulla, in D ſit maxima,
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              id eſt æqualis alteri determinationi propriæ grauitationis; </s>
              <s id="N23A9E">in reliquis ve­
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              rò punctis prima eſt ad ſecundam, vt ſinus rectus ſuperioris arcus ad ſi­
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              num totum, v.g.ſi pondus ſit in L, determinatio grauitationis eſt ad aliam
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              vt LA ad LR, ſi ſit in H vt HA ad HS, ſi ſit in O vt OA ad nihil; </s>
              <s id="N23AA8">ſi
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              ſit in D vt DA ad DA; idem dico de omnibus aliis punctis inter­
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              mediis. </s>
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              Corollarium
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              5.
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              <s id="N23AC1">Quintò colligo, impetum grauitationis productum in ſingulis pun­
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              ctis eſſe ad impetum productum in O, id eſt ad maximum, qui poſſit </s>
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