Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              poteſt declinari; </s>
              <s id="N2705A">ſit enim circulus immobilis BDFC, mobilis FEG,
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              punctum F poſt decurſum quadrantem FD extat ſupra planum hori­
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              zontis tota ID erecta; </s>
              <s id="N27062">poſt decurſum verò ſemicirculum tota BK
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              erecta æquali BF, vt conſtat; </s>
              <s id="N27068">igitur vertatur FBK, circa FB, donec incu­
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              bet perpendiculariter plano horizontali in BF; </s>
              <s id="N2706E">tùm circa FK, ita ere­
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              ctam vertatur planum, donec incubet DI, erecta in I, fiet planum, in quo
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              deſcribetur linea huius motus; </s>
              <s id="N27076">aſſumatur autem DH æqualis AI; </s>
              <s id="N2707A">dico
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              quod ducetur per FHK: </s>
              <s id="N27080">ſimiliter inuenientur alia puncta, quod ſuffi­
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              ciat indicaſſe; </s>
              <s id="N27086">eſt autem hic motus maximè inæqualis propter ratio­
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              nem, de qua ſuprà: </s>
              <s id="N2708C">ſed de his ſatis; </s>
              <s id="N27090">immò certum eſt punctum F ſuo
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              motu prædicto deſcribere perfectum circulum duplum circuli rota­
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              ti, cuius centrum eſt D erectum in A, nam DH, DF, DK ſunt æqua­
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              les; </s>
              <s id="N2709A">ſi enim circulus tangat in M, punctum F erectum toto arcu FM,
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              reſpondebit perpendiculariter puncto O, ita vt OM ſit æqualis PB, vel
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              HS, vel AN; erigatur autem OR, donec incubet perpendiculariter,
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              extat ſuper AD erecta in A tota QR, ita OQ ſit æqualis AD. </s>
              <s id="N270A5">Sed
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              quad. </s>
              <s id="N270AA">AO eſt æquale quadratis AM, MO; igitur ſit quad. </s>
              <s id="N270AE">AM qua­
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              dratum MO erit 8. igitur quadratum A 24. ſed extat ſuper MO, QR,
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              æqualis OM; </s>
              <s id="N270B6">igitur ſi à D erecto ducantur duæ rectæ, altera ad Q, altera
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              ad R, lineæ OR erectæ; </s>
              <s id="N270BC">certè DQ erit æqualis AO; </s>
              <s id="N270C0">eſt enim ipſi pa­
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              rallela; </s>
              <s id="N270C6">tùm fiet triangulum ortogon ex tribus DQ, QR, DR; igitur
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              quadr. </s>
              <s id="N270CC">DR eſt æquale duobus DQ, QR, ſed DQ eſt æqualis A
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              O; igitur quadr. </s>
              <s id="N270D2">DQ eſt 24. QR eſt æqualis OM; igitur quadr. </s>
              <s id="N270D6">QR
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              eſt 8. igitur quadratum DR eſt 32. ſed quadr. </s>
              <s id="N270DB">DF eſt 32. poſito
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              quadrato AF 16.igitur DR erit æqualis DF; igitur circu­
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              lus duplus, &c. </s>
              <s id="N270E3">quod erat demon­
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              ſtrandum.
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