Fabri, Honoré, Tractatus physicus de motu locali, 1646

List of thumbnails

< >
481
481 		482
482
483
483 		484
484
485
485 		486
486
487
487 		488
488
489
489 		490
490
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N270EE">
            <p id="N2AC7D" type="main">
              <s id="N2AC82">
                <pb pagenum="446" xlink:href="026/01/482.jpg"/>
              tus mendis fædatam, duces ſpongiam vſque ad lineam 22. pag.214. vbi
                <lb/>
              legis hæc verba, adde quod præſertim, cùm illam alibi, ſcilicet lib. 8. de­
                <lb/>
              monſtremus. </s>
            </p>
            <p id="N2AC8E" type="main">
              <s id="N2AC90">Cæterum vnum obſeruabis in Fig. 1.Tab.4. ſi diuidatur BE bifariam
                <lb/>
              æqualiter in T ducaturque FTG, fore vt mobile citiùs decurrat BTF
                <lb/>
              facto initio motus in B, quam chordam BF: </s>
              <s id="N2AC9A">cum enim FG ſit dupla FT,
                <lb/>
              ſit media proportionalis inter GT, GF; haud dubiè quadratum illius erit
                <lb/>
              duplum quadr. </s>
              <s id="N2ACA2">TF, & ſubduplum quadr.BF, igitur ſit EG 4.ET 2FT erit
                <lb/>
              Rad. </s>
              <s id="N2ACA7">
                <expan abbr="q.">que</expan>
              20. igitur FG rad. </s>
              <s id="N2ACAD">
                <expan abbr="q.">que</expan>
              80. igitur media proportionalis (quæ ſit,
                <lb/>
              v.g. G
                <foreign lang="grc">μ</foreign>
              ) rad. </s>
              <s id="N2ACBB">
                <expan abbr="q.">que</expan>
              40. igitur ſi ſubtrahatur GT, id eſt rad. </s>
              <s id="N2ACC1">q.20. id eſt 4.
                <lb/>
              1/2 paulò minùs, ſed plùs quàm 4. 1/3 ex G
                <foreign lang="grc">μ</foreign>
              ; id eſt ex rad. </s>
              <s id="N2ACCB">q.40. id eſt 6.
                <lb/>
              1/3 paulò minùs ſupereſt
                <foreign lang="grc">τμ</foreign>
              , quæ minor eſt 2. ſed ſi tempore BT, per­
                <lb/>
              curritur BT, æquali tempore percurretur tripla BT; </s>
              <s id="N2ACD7">igitur tempus quo
                <lb/>
              percurritur dupla BE, eſt vt BE; </s>
              <s id="N2ACDD">ſed tempus quo percurritur BTF eſt vt
                <lb/>
              BT
                <foreign lang="grc">μ</foreign>
              ; </s>
              <s id="N2ACE7">atqui T
                <foreign lang="grc">μ</foreign>
              eſt minor TE; </s>
              <s id="N2ACEF">id eſt 2. igitur breuiore tempore percur­
                <lb/>
              ritur BTF, quam dupla DE; </s>
              <s id="N2ACF5">ſed quo tempore percurritur dupla BE,
                <lb/>
              etiam percurritur BF; </s>
              <s id="N2ACFB">igitur BTF breuiore tempore percurritur quam
                <lb/>
              BF; </s>
              <s id="N2AD01">vt autem ſcias quantum percurritur in perpendiculari, quo tempore
                <lb/>
              percurritur BTF, ſit FE 100000. erit FT 111800. igitur G
                <foreign lang="grc">μ</foreign>
              151657.
                <lb/>
              igitur ſi vt BT 50000. ad BT
                <foreign lang="grc">μ</foreign>
              , id eſt ad 89857. ita BT
                <foreign lang="grc">μ</foreign>
              ad aliam, hæc
                <lb/>
              erit 161485. hoc ſpatium decurretur in perpendiculari, vides quam ſit
                <lb/>
              minor dupla BE, id eſt 200000. Si autem accipis Fig.1. Tab.3. BZE ſit
                <lb/>
              GP 100000.GZ 42265.ſit etiam vt EZ ad EY ita EY ad CB; GZ erit
                <lb/>
              87757. igitur acquiretur in perpendiculari 182253.eo tempore quo per­
                <lb/>
              curretur GZB, facto initio motus à G, ſed hæc eſt minor dupla GP, id
                <lb/>
              eſt 200000. accedit tamen propiùs quam ſuperior, igitur longiore tem­
                <lb/>
              pore decurit duas GZB huius figuræ quam duas BTF ſuperioris fig. </s>
            </p>
            <p id="N2AD23" type="main">
              <s id="N2AD25">Denique in Fig. 32. Tab. 3.ſit BY ita vt angulus BYA ſit grad.15.ſitque
                <lb/>
              v.g. vt YZ, ad YL, ita YL ad YB; </s>
              <s id="N2AD31">iuxta canonem ſinuum BY erit 386370.
                <lb/>
              YL 330171. ZL 47739. EZ 73205. ELZ 120944. igitur acquiretur in
                <lb/>
              perpendiculari 199814. quo tempore decurretur EZB; vides quàm pro­
                <lb/>
              ximè accedat ad duplam EM id eſt ad 200000. </s>
            </p>
            <p id="N2AD3D" type="main">
              <s id="N2AD3F">Denique ſi percurrat EMB, ſcilicet EM motu accelerato, tum MB
                <lb/>
              æquabili; </s>
              <s id="N2AD45">certè MB percurret ſubduplo tempore illius, quo percurrit E
                <lb/>
              M, vt conſtat; igitur ſit EM tempus quo percurrit EM v. g. 2.percurret
                <lb/>
              EMB tempore EMS ſcilicet 3. ſed ſi percurrat EM tempore EM, du­
                <lb/>
              plam decurrit tempore EB, ſed EB eſt minor EMS, eſt enim rad. </s>
              <s id="N2AD53">quadr. </s>
              <s id="N2AD56">
                <lb/>
              8. igitur EB decurritur citiùs quàm EMB, ſed de his ſatis.
                <lb/>
                <gap desc="hr tag"/>
              </s>
            </p>
            <p id="N2AD5D" type="main">
              <s id="N2AD5F">
                <emph type="center"/>
                <emph type="italics"/>
              ERRATA.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2AD6A" type="main">
              <s id="N2AD6C">
                <emph type="italics"/>
              Pag.
                <emph.end type="italics"/>
              10.
                <emph type="italics"/>
              lin. 4
                <emph.end type="italics"/>
              magnete.
                <emph type="italics"/>
              p.13 l.vlt.
                <emph.end type="italics"/>
              non decreſcit
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              17.
                <emph type="italics"/>
              Th.
                <emph.end type="italics"/>
              10.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              2. non exigeret.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              20.
                <lb/>
                <emph type="italics"/>
              l .ult.
                <emph.end type="italics"/>
              in ſe ipſo.
                <emph type="italics"/>
              p.21.t.26.l.2.
                <emph.end type="italics"/>
              non poteſt.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              24.
                <emph type="italics"/>
              t.
                <emph.end type="italics"/>
              32.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              5. duabus.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              25.
                <emph type="italics"/>
              t.
                <emph.end type="italics"/>
              33.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              15.tertiò
                <lb/>
              probatur.
                <emph type="italics"/>
              Caſtiga ibidem multas interpunctiones p.
                <emph.end type="italics"/>
              28.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              1. maioris.
                <emph type="italics"/>
              p .
                <emph.end type="italics"/>
              31
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              3. Ax. 12.
                <lb/>
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              8 primo
                <emph type="italics"/>
              l.9. ſecundo l.35.
                <emph.end type="italics"/>
              cum tu.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              33.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              1. motus.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              35. min 5s.
                <emph type="italics"/>
              t.
                <emph.end type="italics"/>
              51.& 52. fig.2.
                <lb/>
                <emph type="italics"/>
              t.
                <emph.end type="italics"/>
              55.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              2. immobilis A.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              36. fig.2.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              49.
                <emph type="italics"/>
              t.
                <emph.end type="italics"/>
              86.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              3.lib.2.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              54.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              1. Th. 81.
                <emph type="italics"/>
              p.
                <emph.end type="italics"/>
              25.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              17. in EL. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum