Fabri, Honoré, Tractatus physicus de motu locali, 1646

List of thumbnails

< >
141
141
142
142
143
143
144
144
145
145
146
146
147
147
148
148
149
149
150
150
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1A407">
            <p id="N1B6D6" type="main">
              <s id="N1B6F0">
                <pb pagenum="173" xlink:href="026/01/205.jpg"/>
              tior eſt, quàm vt numeris tantùm,
                <expan abbr="ſicciſq́ue">ſicciſque</expan>
              calculis nutriatur; </s>
              <s id="N1B6FD">adde quod
                <lb/>
              Praxis Theoricæ in his omninò præferenda eſt; </s>
              <s id="N1B703">quamquam huic etiam
                <lb/>
              parti deeſſe nolumus, ſed in ſingularem libellum omnes iſtas tabulas &
                <lb/>
              alias huiuſmodi remittimus; cum hic tantùm rerum phyſicarum cauſas
                <lb/>
              explicemus. </s>
            </p>
            <p id="N1B70D" type="main">
              <s id="N1B70F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              65.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1B71B" type="main">
              <s id="N1B71D">
                <emph type="italics"/>
              Si accipiatur planum horizontale intra illud vnde incipit iactus haud du­
                <lb/>
              biè iactus omnium maximus erit horizontalis in vtraque hypotheſi.
                <emph.end type="italics"/>
              </s>
              <s id="N1B726"> Primo in
                <lb/>
              hypotheſi Galilci, in qua Parabola GD figurâ ſuperiore habet maximum
                <lb/>
              omnium amplitudinem; </s>
              <s id="N1B72E">licèt iactus per GX; </s>
              <s id="N1B732">ex quo ſequitur, non ha­
                <lb/>
              beat impetum maiorem, quâm iactus per EY, vel EX; </s>
              <s id="N1B738">in noſtra verò, ia­
                <lb/>
              ctus per BG primo tempore plùs acquirit in horizontali BG, quàm ia­
                <lb/>
              ctus per BF; </s>
              <s id="N1B740">igitur plùs etiam ſecundo tempore; </s>
              <s id="N1B744">nam BF acquirit tantùm
                <lb/>
              primo tempore BH, at verò BG acquirit RL; </s>
              <s id="N1B74A">adde quod minùs perit ex
                <lb/>
              iactu BG; </s>
              <s id="N1B750">quippe aſſumatur BL in B 2. & GL in 2. 3. detrahitur tantùm
                <lb/>
              G. 3.ex BG; </s>
              <s id="N1B756">at verò aſſumatur BH in B 4. & FH in 4.5. detrahitur F 5.ex
                <lb/>
              BF; </s>
              <s id="N1B75C">igitur plùs ex BF quàm ex BG; quæ omnia ex ſuperioribus regulis
                <lb/>
              iuſta noſtram hypotheſim præſcriptis conſequuntur. </s>
            </p>
            <p id="N1B762" type="main">
              <s id="N1B764">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              66.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1B770" type="main">
              <s id="N1B772">
                <emph type="italics"/>
              Immò probabile eſt æquales fore iactus per inclinatas ſurſum, & deorſum
                <lb/>
              æqualiter ab horizontali, vnde incipit iactus, distantes; </s>
              <s id="N1B77A">æquales inquam in ali­
                <lb/>
              quo plano horizontali, inferiore
                <emph.end type="italics"/>
              ; </s>
              <s id="N1B783">ſi enim iactus fiat per BD eadem figura &
                <lb/>
              BP nihil acquiritur in horizontali, vt conſtat; </s>
              <s id="N1B789">ſi verò iactus ſit per BG
                <lb/>
              maximum ſpatium acquirunt in horizontali plano inferiore; </s>
              <s id="N1B78F">igitur qua
                <lb/>
              proportione propiùs accedent lineæ ſeu iactus ad BD, PP minùs acqui­
                <lb/>
              rent; </s>
              <s id="N1B797">qua verò proportione propiùs accedent ad RG plùs acquirent; </s>
              <s id="N1B79B">igi­
                <lb/>
              tur æqualiter plùs, & minùs hinc inde, ſi æqualiter hinc inde diſtent; </s>
              <s id="N1B7A1">im­
                <lb/>
              mò hoc ipſum præſentibus oculis intueri licèt; </s>
              <s id="N1B7A7">ſi enim iactus BF compa­
                <lb/>
              retur cum iactu BK; </s>
              <s id="N1B7AD">certè BK acquirit RK, BF acquirit BH æqualem B
                <lb/>
              K; </s>
              <s id="N1B7B3">ſed BF & BK æqualiter diſtant ab horizontali BG; </s>
              <s id="N1B7B7">nam arcus GF, &
                <lb/>
              GK ſunt æquales, vt conſtat: idem dico de iactu BE, & BX, qui acquirunt
                <lb/>
              æquale ſpatium in horizontali æquale ſcilicet BZ. </s>
            </p>
            <p id="N1B7BF" type="main">
              <s id="N1B7C1">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1B7CD" type="main">
              <s id="N1B7CF">Obſeruabis hoc omninò licèt mirum cuiquam fortè videatur, certè
                <lb/>
              inſtitutum eſſe à natura; </s>
              <s id="N1B7D5">ſi enim comparentur omnes iactus ſuprà hori­
                <lb/>
              zontalem BG, haud dubiè cum duo extremi ſcilicet BD, & BG nihil
                <lb/>
              prorſus acquirant, vt conſtat ex dictis, iactus medius ſcilicet ad gradum
                <lb/>
              45.erit omnium maximus, quia æqualiter ab vtraque extremitate diſtat,
                <lb/>
              vt demonſtrauimus ſuprà; </s>
              <s id="N1B7E1">ſi verò comparentur omnes iactus, qui poſ­
                <lb/>
              ſunt fieri à centro B per totum ſemicirculum
                <expan abbr="DGq;">DGque</expan>
              certè cum duo ex­
                <lb/>
              tremi BD, BQ nihil prorſus acquirant, vt conſtat, iactus medius, ſcilicet
                <lb/>
              ad gradum 90.qui eſt BG erit omnium maximus, quia æqualiter ab vtra-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>