Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <pb xlink:href="039/01/047.jpg" pagenum="19"/>
              rum) & ſecundum lineas parallelas agendo, corpora omnia æquali­
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              ter (quoad velocitatem) movebunt per Legem 11. adeoque nunquam
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              mutabunt poſitiones & motus eorum inter ſe. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Hactenus principia tradidi a Mathematicis recepta & experien­
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              tia multiplici confirmata. </s>
              <s>Per Leges duas primas & Corollaria duo
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              prima
                <emph type="italics"/>
              Galilæus
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              invenit deſcenſum Gravium eſſe in duplicata ratione
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              temporis, & motum Projectilium fieri in Parabola; conſpirante ex­
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              perientia, niſi quatenus motus illi per aeris reſiſtentiam aliquantu­
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              lum retardantur. </s>
              <s>Ab iiſdem Legibus & Corollariis pendent de­
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              monſtrata de temporibus oſcillantium Pendulorum, ſuffragante Ho­
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              rologiorum experientia quotidiana. </s>
              <s>Ex his iiſdem & Lege tertia
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                <emph type="italics"/>
              Chriſtophorus Wrennus
                <emph.end type="italics"/>
              Eques Auratus,
                <emph type="italics"/>
              Jobannes Walliſius S.T.D.
                <emph.end type="italics"/>
                <lb/>
              &
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              Chriſtianus Hugenius,
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              hujus ætatis Geometrarum facile prin­
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              cipes, regulas congreſſuum & reflexionum duorum corporum ſe­
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              orſim invenerunt, & eodem fere tempore cum
                <emph type="italics"/>
              Societate Regia
                <emph.end type="italics"/>
                <lb/>
              communicarunt, inter ſe (quoad has leges) omnino conſpirantes:
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              & primus quidem
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              Walliſius,
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              deinde
                <emph type="italics"/>
              Wrennus
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              &
                <emph type="italics"/>
              Hugenius
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              inven­
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              tum prodiderunt. </s>
              <s>Sed & veritas comprobata eſt a
                <emph type="italics"/>
              Wrenno
                <emph.end type="italics"/>
              co­
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              ram
                <emph type="italics"/>
              Regia Societate
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              per experimentum Pendulorum: quod etiam
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                <emph type="italics"/>
              Clariſſimus Mariottus
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              libro integro exponere mox dignatus eſt. </s>
              <s>Ve­
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              rum, ut hoc experimentum cum Theoriis ad amuſſim congruat, ha­
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              benda eſt ratio cum reſiſtentiæ aeris, tum etiam vis Elaſticæ con­
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              currentium corporum. </s>
              <s>Pendeant corpora
                <emph type="italics"/>
              A, B
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              filis parallelis &
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              æqualibus
                <emph type="italics"/>
              AC, BD,
                <emph.end type="italics"/>
              a centris
                <emph type="italics"/>
              C, D.
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              His centris & intervallis de­
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              ſcribantur ſemicirculi
                <emph type="italics"/>
              EAF, GBH
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              radiis
                <emph type="italics"/>
              CA, DB
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              biſecti. </s>
              <s>Tra­
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              hatur corpus
                <emph type="italics"/>
              A
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              ad arcus
                <emph type="italics"/>
              EAF
                <emph.end type="italics"/>
              punctum quodvis
                <emph type="italics"/>
              R,
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              & (ſubducto
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              corpore
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ) demittatur inde, redeatque poſt unam oſcillationem
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              ad punctum
                <emph type="italics"/>
              V.
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              Eſt
                <emph type="italics"/>
              RV
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              re­
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                <figure id="id.039.01.047.1.jpg" xlink:href="039/01/047/1.jpg" number="3"/>
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              tardatio ex reſiſtentia aeris. </s>
              <s>
                <lb/>
              Hujus
                <emph type="italics"/>
              RV
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              fiat
                <emph type="italics"/>
              ST
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              pars quar­
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              ta ſita in medio, ita ſcilicet
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              ut
                <emph type="italics"/>
              RS
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              &
                <emph type="italics"/>
              TV
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              æquentur, ſit­
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              que
                <emph type="italics"/>
              RS
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              ad
                <emph type="italics"/>
              ST
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              ut 3 ad 2.
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              Et iſta
                <emph type="italics"/>
              ST
                <emph.end type="italics"/>
              exhibebit retarda­
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              tionem in deſcenſu ab
                <emph type="italics"/>
              S
                <emph.end type="italics"/>
              ad
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
                <lb/>
              quam proxime. </s>
              <s>Reſtituatur
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              corpus
                <emph type="italics"/>
              B
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              in locum ſuum. </s>
              <s>Cadat corpus
                <emph type="italics"/>
              A
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              de puncto
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              S,
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              & velo­
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              citas ejus in loco reflexionis
                <emph type="italics"/>
              A,
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              abſque errore ſenſibili, tanta erit ae </s>
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          </chap>
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