Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              DF. v. g. eſt maxima omnium differentiarum. </s>
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              Corollarium
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              2.
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              <s id="N1B388">Hinc ſub finem differentia lineæ motus v. g. TB ſemper eſt maius
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              latus trianguli TXB; </s>
              <s id="N1B392">idem dico de aliis; igitur differentia lineæ motus
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              & compoſitæ ex duplici impetu eſt ſemper minor & minor in in­
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              finitum. </s>
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              <s id="N1B3AB">Poſſunt determinari à Geometria omnes anguli triangulorum ADG.
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              GKL. OLP. nam ADG eſt æqualis CAD, at verò GKL æqualis
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              KGD, & hic duobus ſimul ADG & DAG, igitur determinari facilè
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              poterunt ex doctrina triangulorum. </s>
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              Corollarium.
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              4.
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              </s>
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            <p id="N1B3C3" type="main">
              <s id="N1B3C5">Hinc etiam ſciri poterit in quo puncto linea motus v.g. LP cum per­
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              pendiculari OP faciat angulum rectum, quod ſatis eſt indicaſſe, nam hic
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              Geometram non ago. </s>
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            <p id="N1B3DD" type="main">
              <s id="N1B3DF">Hinc quoque ſciri poteſt maxima altitudo huius projectionis, quæ
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              ſcilicet in eo puncto eſt, in quo linea motus cum perpendiculari deor­
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              ſum facit angulum rectum, v.g. in puncto P, ſi angulus LPO eſt
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              rectus. </s>
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            <p id="N1B3F9" type="main">
              <s id="N1B3FB">Hinc poteſt etiam ſciri altitudo operâ triangulorum productorum
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              AG 2. GK 3. OLP. quod quiuis Geometra facilè intelliget; hîc quo­
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              que obiter obſerua vnum, quod ſæpè aliàs indicauimus, quanti videlicet
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              momenti ſit Geometria in rebus phyſicis. </s>
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            <p id="N1B413" type="main">
              <s id="N1B415">Hinc etiam colligo arcum aſcenſus maiorem eſſe arcu deſcenſus ſu­
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              pra idem planum horizontale AB; </s>
              <s id="N1B41B">quia in arcu deſcenſus acceleratur
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              pro ratione diuerſæ inclinationis impetus naturalis; </s>
              <s id="N1B421">igitur lineam mo­
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              tus addunt propiùs ad perpendicularem, vt vides in TB; </s>
              <s id="N1B427">igitur minùs
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              acquirit in horizontali; </s>
              <s id="N1B42D">igitur minor amplitudo horizontalis ſubeſt ar­
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              cui deſcenſus projectorum quàm arcui aſcenſus; dixi ſuprà idem pla­
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              num, quia arcus deſcenſus infra planum AB propagatur ferè in infi­
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              nitum. </s>
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              <s id="N1B447">Hinc reiicio Galileum qui nulla prorſus fultus ratione phyſica vult
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              vtrumque eſſe æqualem, quod tamen omnibus experimentis repugnat, &
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              ipſi etiam pueri, qui diſco ludunt obſeruare poſſunt arcum deſcenſus ſui
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              diſci eſſe longè minorem, nec eſt quod ad ſuam Parabolam confugiat,
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              quæ duo falſa ſupponit principia, ſcilicet æquabilitatem motus violen­
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              ti, & accelerationem naturalis eo ſcilicet modo quo fieret in perpendi­
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              culari; at vtrumque falſum eſſe ſuprà demonſtrauimus, adde quod vt iam </s>
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