Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
41
41 		42
42
43
43 		44
44
45
45 		46
46
47
47 		48
48
49
49 		50
50
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="039/01/047.jpg" pagenum="19"/>
              rum) & ſecundum lineas parallelas agendo, corpora omnia æquali­
                <lb/>
              ter (quoad velocitatem) movebunt per Legem 11. adeoque nunquam
                <lb/>
              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
                <lb/>
              tia multiplici confirmata. </s>
              <s>Per Leges duas primas & Corollaria duo
                <lb/>
              prima
                <emph type="italics"/>
              Galilæus
                <emph.end type="italics"/>
              invenit deſcenſum Gravium eſſe in duplicata ratione
                <lb/>
              temporis, & motum Projectilium fieri in Parabola; conſpirante ex­
                <lb/>
              perientia, niſi quatenus motus illi per aeris reſiſtentiam aliquantu­
                <lb/>
              lum retardantur. </s>
              <s>Ab iiſdem Legibus & Corollariis pendent de­
                <lb/>
              monſtrata de temporibus oſcillantium Pendulorum, ſuffragante Ho­
                <lb/>
              rologiorum experientia quotidiana. </s>
              <s>Ex his iiſdem & Lege tertia
                <lb/>
                <emph type="italics"/>
              Chriſtophorus Wrennus
                <emph.end type="italics"/>
              Eques Auratus,
                <emph type="italics"/>
              Jobannes Walliſius S.T.D.
                <emph.end type="italics"/>
                <lb/>
              &
                <emph type="italics"/>
              Chriſtianus Hugenius,
                <emph.end type="italics"/>
              hujus ætatis Geometrarum facile prin­
                <lb/>
              cipes, regulas congreſſuum & reflexionum duorum corporum ſe­
                <lb/>
              orſim invenerunt, & eodem fere tempore cum
                <emph type="italics"/>
              Societate Regia
                <emph.end type="italics"/>
                <lb/>
              communicarunt, inter ſe (quoad has leges) omnino conſpirantes:
                <lb/>
              & primus quidem
                <emph type="italics"/>
              Walliſius,
                <emph.end type="italics"/>
              deinde
                <emph type="italics"/>
              Wrennus
                <emph.end type="italics"/>
              &
                <emph type="italics"/>
              Hugenius
                <emph.end type="italics"/>
              inven­
                <lb/>
              tum prodiderunt. </s>
              <s>Sed & veritas comprobata eſt a
                <emph type="italics"/>
              Wrenno
                <emph.end type="italics"/>
              co­
                <lb/>
              ram
                <emph type="italics"/>
              Regia Societate
                <emph.end type="italics"/>
              per experimentum Pendulorum: quod etiam
                <lb/>
                <emph type="italics"/>
              Clariſſimus Mariottus
                <emph.end type="italics"/>
              libro integro exponere mox dignatus eſt. </s>
              <s>Ve­
                <lb/>
              rum, ut hoc experimentum cum Theoriis ad amuſſim congruat, ha­
                <lb/>
              benda eſt ratio cum reſiſtentiæ aeris, tum etiam vis Elaſticæ con­
                <lb/>
              currentium corporum. </s>
              <s>Pendeant corpora
                <emph type="italics"/>
              A, B
                <emph.end type="italics"/>
              filis parallelis &
                <lb/>
              æqualibus
                <emph type="italics"/>
              AC, BD,
                <emph.end type="italics"/>
              a centris
                <emph type="italics"/>
              C, D.
                <emph.end type="italics"/>
              His centris & intervallis de­
                <lb/>
              ſcribantur ſemicirculi
                <emph type="italics"/>
              EAF, GBH
                <emph.end type="italics"/>
              radiis
                <emph type="italics"/>
              CA, DB
                <emph.end type="italics"/>
              biſecti. </s>
              <s>Tra­
                <lb/>
              hatur corpus
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              ad arcus
                <emph type="italics"/>
              EAF
                <emph.end type="italics"/>
              punctum quodvis
                <emph type="italics"/>
              R,
                <emph.end type="italics"/>
              & (ſubducto
                <lb/>
              corpore
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              ) demittatur inde, redeatque poſt unam oſcillationem
                <lb/>
              ad punctum
                <emph type="italics"/>
              V.
                <emph.end type="italics"/>
              Eſt
                <emph type="italics"/>
              RV
                <emph.end type="italics"/>
              re­
                <lb/>
                <figure id="id.039.01.047.1.jpg" xlink:href="039/01/047/1.jpg" number="3"/>
                <lb/>
              tardatio ex reſiſtentia aeris. </s>
              <s>
                <lb/>
              Hujus
                <emph type="italics"/>
              RV
                <emph.end type="italics"/>
              fiat
                <emph type="italics"/>
              ST
                <emph.end type="italics"/>
              pars quar­
                <lb/>
              ta ſita in medio, ita ſcilicet
                <lb/>
              ut
                <emph type="italics"/>
              RS
                <emph.end type="italics"/>
              &
                <emph type="italics"/>
              TV
                <emph.end type="italics"/>
              æquentur, ſit­
                <lb/>
              que
                <emph type="italics"/>
              RS
                <emph.end type="italics"/>
              ad
                <emph type="italics"/>
              ST
                <emph.end type="italics"/>
              ut 3 ad 2.
                <lb/>
              Et iſta
                <emph type="italics"/>
              ST
                <emph.end type="italics"/>
              exhibebit retarda­
                <lb/>
              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
                <lb/>
              corpus
                <emph type="italics"/>
              B
                <emph.end type="italics"/>
              in locum ſuum. </s>
              <s>Cadat corpus
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              de puncto
                <emph type="italics"/>
              S,
                <emph.end type="italics"/>
              & velo­
                <lb/>
              citas ejus in loco reflexionis
                <emph type="italics"/>
              A,
                <emph.end type="italics"/>
              abſque errore ſenſibili, tanta erit ae </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum