Clavius, Christoph, Geometria practica

Table of figures

< >
[Figure 41]
[Figure 42]
[Figure 43]
[Figure 44]
[Figure 45]
[Figure 46]
[Figure 47]
[Figure 48]
[Figure 49]
[Figure 50]
[Figure 51]
[Figure 52]
[Figure 53]
[Figure 54]
[Figure 55]
[Figure 56]
[Figure 57]
[Figure 58]
[Figure 59]
[Figure 60]
[Figure 61]
[Figure 62]
[Figure 63]
[Figure 64]
[Figure 65]
[Figure 66]
[Figure 67]
[Figure 68]
[Figure 69]
[Figure 70]
< >
page |< < (112) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div280" type="section" level="1" n="121">
          <p>
            <s xml:id="echoid-s4391" xml:space="preserve">
              <pb o="112" file="142" n="142" rhead="GEOMETR. PRACT."/>
            Quare erit vt tota BH, ad totam FG, ita BE, vel b O, ablata ad ablatam MG;</s>
            <s xml:id="echoid-s4392" xml:space="preserve">
              <note symbol="a" position="left" xlink:label="note-142-01" xlink:href="note-142-01a" xml:space="preserve">17. ſexti.</note>
            Ac propterea erit quo que reliqua O H, ad reliquam F M, ſiue ad A a, vt
              <note symbol="b" position="left" xlink:label="note-142-02" xlink:href="note-142-02a" xml:space="preserve">19. ſexti.</note>
            b H, ad totam FG. </s>
            <s xml:id="echoid-s4393" xml:space="preserve">Quamobrem ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt O H, differentia vmbra- \\ rum rectarum # ad A a, differentiam \\ ſtationum: # Ita b H, maior \\ vmbrarecta # ad F G, alti- \\ tudinem,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4394" xml:space="preserve">altitudo F G, prodibit cognita, quę cum ſtatura menſoris F L, totam altitudi-
              <lb/>
            nem LG, efficiet notam. </s>
            <s xml:id="echoid-s4395" xml:space="preserve">Vbi vides eundem prorſus eſſe operandi modum in
              <lb/>
            vmbris rectis, & </s>
            <s xml:id="echoid-s4396" xml:space="preserve">in verſis.</s>
            <s xml:id="echoid-s4397" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4398" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4399" xml:space="preserve">
              <emph style="sc">Postremo</emph>
            in ſtatione inferiori reſecetur vmbra recta BE, & </s>
            <s xml:id="echoid-s4400" xml:space="preserve">verſa d H,
              <lb/>
            in ſuperiori ſtatione, vt in 3. </s>
            <s xml:id="echoid-s4401" xml:space="preserve">figura problematis 4. </s>
            <s xml:id="echoid-s4402" xml:space="preserve">quæ poſita eſt in pagina 105.
              <lb/>
            </s>
            <s xml:id="echoid-s4403" xml:space="preserve">Reducta ergo vmbra recta ad verſam, vt ad initium huius libri in conſtructione
              <lb/>
            Quadrati Num. </s>
            <s xml:id="echoid-s4404" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4405" xml:space="preserve">declarauimus: </s>
            <s xml:id="echoid-s4406" xml:space="preserve">ſi fiat, vt IN, differentia vmbrarum verſarum
              <lb/>
            ad A a, differentiã ſtationum, ita DN, vmbra verſa maior ad aliud, pro creabitur
              <lb/>
            F G, altitudo in partibus differentiæ ſtationum A a, quemadmodum Num. </s>
            <s xml:id="echoid-s4407" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4408" xml:space="preserve">
              <lb/>
            demonſtrauimus. </s>
            <s xml:id="echoid-s4409" xml:space="preserve">Quod ſi malueris reducere vmbram verſam ad rectam, ean-
              <lb/>
            dem altitudinem reperies per duas vmbras rectas, ceu Num. </s>
            <s xml:id="echoid-s4410" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4411" xml:space="preserve">monſtrauimus.</s>
            <s xml:id="echoid-s4412" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4413" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4414" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            fortaſſe in altera ſtationum linea fiduciæ tranſiret per pun-
              <lb/>
            ctum C, in arbitrio tuo erit, vel totum latus vmbræ verſæ, vel rectæ aſſumere.</s>
            <s xml:id="echoid-s4415" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div283" type="section" level="1" n="122">
          <head xml:id="echoid-head125" xml:space="preserve">SCHOLIVM.</head>
          <p>
            <s xml:id="echoid-s4416" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4417" xml:space="preserve">
              <emph style="sc">Eandem</emph>
            altitudinem, eiuſque diſtantiam ab oculo menſoris, vna cum
              <lb/>
            hypotenuſa ab oculo ad faſtigium altitudinis extenſa, venari licebit ope qua-
              <lb/>
            drati ſtabilis per vnicam ſtationem, etiamſi ſolum faſtigium rei erectæ cerna-
              <lb/>
            tur: </s>
            <s xml:id="echoid-s4418" xml:space="preserve">adeò vt ſcholium hoc omnia præſtet, quæ in problemate 3. </s>
            <s xml:id="echoid-s4419" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4420" xml:space="preserve">5. </s>
            <s xml:id="echoid-s4421" xml:space="preserve">6. </s>
            <s xml:id="echoid-s4422" xml:space="preserve">& </s>
            <s xml:id="echoid-s4423" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4424" xml:space="preserve">per
              <lb/>
            plures ſtationes inueſtigauimus, ac proinde diligenter perdiſcendum.</s>
            <s xml:id="echoid-s4425" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4426" xml:space="preserve">
              <emph style="sc">Sit</emph>
            enim altitudo metienda IF; </s>
            <s xml:id="echoid-s4427" xml:space="preserve">ſtatura menſoris I G, vel H A. </s>
            <s xml:id="echoid-s4428" xml:space="preserve">Paretur pla-
              <lb/>
              <note position="left" xlink:label="note-142-04" xlink:href="note-142-04a" xml:space="preserve">Quo pacto
                <lb/>
              præcedentia
                <lb/>
              5. problemata,
                <lb/>
              @pe quadrati
                <lb/>
              ſtabilis per v-
                <lb/>
              nicam ſtatio-
                <lb/>
              nem abſol-
                <lb/>
              uantur.</note>
            num Horizonti æquidiſtans per A, tranſi-
              <lb/>
              <figure xlink:label="fig-142-01" xlink:href="fig-142-01a" number="69">
                <image file="142-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/142-01"/>
              </figure>
            ens, in quo Quadratum firmari poſsit, aut
              <lb/>
            collo cari. </s>
            <s xml:id="echoid-s4429" xml:space="preserve">Primum ergo inueſtiganda eſt
              <lb/>
            hypotenuſa A F, hoc modo. </s>
            <s xml:id="echoid-s4430" xml:space="preserve">Inclinetur
              <lb/>
            quadratum, ita vt centrum dioptræ oc-
              <lb/>
            cupet ſuperiorem locum lateris a A, cuius
              <lb/>
            inferius punctum ſtatuatur in A, oculo
              <lb/>
            menſoris. </s>
            <s xml:id="echoid-s4431" xml:space="preserve">Et totum quadratum tamdiu
              <lb/>
            eleuetur, aut deprimatur, doneclatus
              <lb/>
            A e, recta in cacumen F, vergat. </s>
            <s xml:id="echoid-s4432" xml:space="preserve">Manen-
              <lb/>
            te ſic Quadrato, menſor oculum transferat ad a, & </s>
            <s xml:id="echoid-s4433" xml:space="preserve">per dioptram inſpiciat ca-
              <lb/>
            cumen F, notenturque partes vmbræ verſæ abſciſſæ b c. </s>
            <s xml:id="echoid-s4434" xml:space="preserve"> Deinde fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt c b, vmbra \\ verſa # ad lat{us} a b, \\ 1000. # Ita lat{us} a A, notum in data men- \\ ſura, quod nunc ponam{us} conti- \\ nere 3. ped{es}, # ad A F,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4435" xml:space="preserve">Nam inuentus numerus dabit hypotenuſam A F, cognitam in partibus lateris
              <lb/>
            a A. </s>
            <s xml:id="echoid-s4436" xml:space="preserve">Verbi gratia, ſi c b, contineat 50. </s>
            <s xml:id="echoid-s4437" xml:space="preserve">partes vmbræ verſę, & </s>
            <s xml:id="echoid-s4438" xml:space="preserve">a A, tribus pedi-
              <lb/>
            bus ſit æqualis: </s>
            <s xml:id="echoid-s4439" xml:space="preserve">ſi fiat vt 50. </s>
            <s xml:id="echoid-s4440" xml:space="preserve">ad 1000. </s>
            <s xml:id="echoid-s4441" xml:space="preserve">ita 3. </s>
            <s xml:id="echoid-s4442" xml:space="preserve">ad aliud, reperietur A F, </s>
          </p>
        </div>
      </text>
    </echo>