Clavius, Christoph, Geometria practica

List of thumbnails

< >
111
111 (81) 		112
112 (82)
113
113 (83) 		114
114 (84)
115
115 (85) 		116
116 (86)
117
117 (87) 		118
118 (88)
119
119 (89) 		120
120 (90)
< >
page |< < (81) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div207" type="section" level="1" n="93">
          <p>
            <s xml:id="echoid-s3162" xml:space="preserve">
              <pb o="81" file="111" n="111" rhead="LIBER SECVNDVS."/>
            prodibitrecta DB, nota, vtproblemate 4. </s>
            <s xml:id="echoid-s3163" xml:space="preserve">oſtendimus: </s>
            <s xml:id="echoid-s3164" xml:space="preserve">ex qua ſi ſubtrahatur
              <lb/>
            ſegmentum haſtæ AD. </s>
            <s xml:id="echoid-s3165" xml:space="preserve">inter orificium, & </s>
            <s xml:id="echoid-s3166" xml:space="preserve">oculum in prima ſtatione, reliqua fiet
              <lb/>
            profunditas, ſiue altitudo putei, velædificij AB.</s>
            <s xml:id="echoid-s3167" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div209" type="section" level="1" n="94">
          <head xml:id="echoid-head97" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s3168" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3169" xml:space="preserve">
              <emph style="sc">Posito</emph>
            ſinu toto BC, fiat.</s>
            <s xml:id="echoid-s3170" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt DE, differentia Tangentium BD, \\ BE, quæ complementis angulorum \\ obſeruationum debentur, # ad DB, Tan- \\ gentem mi- \\ norem # ita DE, diffe- \\ rentia ſtatio- \\ nũ oculorum # ad DE,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s3171" xml:space="preserve">Nam numerus procreatus notam exhibebit eandem rectam DB, &</s>
            <s xml:id="echoid-s3172" xml:space="preserve">c.</s>
            <s xml:id="echoid-s3173" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div210" type="section" level="1" n="95">
          <head xml:id="echoid-head98" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s3174" xml:space="preserve">3. </s>
            <s xml:id="echoid-s3175" xml:space="preserve">
              <emph style="sc">Si</emph>
            per ſolos ſinus operarilubeat, ita agendum erit. </s>
            <s xml:id="echoid-s3176" xml:space="preserve"> Quoniam
              <note symbol="a" position="right" xlink:label="note-111-02" xlink:href="note-111-02a" xml:space="preserve">32. primi.</note>
            maior obſeruatus BDC, duobus angulis E, DCE, æqualis eſt; </s>
            <s xml:id="echoid-s3177" xml:space="preserve">ſi angulus E,
              <lb/>
            minor obſeruatus tollatur ex maiore BDC, notus remanebit angulus DCE, dif-
              <lb/>
            ferentia angulorum obſeruatorum.
              <lb/>
            </s>
            <s xml:id="echoid-s3178" xml:space="preserve"> Igitur ſi
              <note symbol="b" position="right" xlink:label="note-111-03" xlink:href="note-111-03a" xml:space="preserve">10. triang.
                <lb/>
              rectil.</note>
              <note style="it" position="right" xlink:label="note-111-04" xlink:href="note-111-04a" xml:space="preserve">
                <lb/>
              Vt ſin{us} anguli D C E, \\ differentiæ angulo- \\ rum obſeruatorum. # ad D E, differen- \\ rentiam ſtationũ \\ oculorum: # ita ſin{us} anguli \\ E, minoris ob- \\ ſeruati # ad D C,
                <lb/>
              </note>
            proſiliet nota hypotenuſa D C. </s>
            <s xml:id="echoid-s3179" xml:space="preserve"> Quapropter ſi rurſum
              <note symbol="e" position="right" xlink:label="note-111-05" xlink:href="note-111-05a" xml:space="preserve">10. triang.
                <lb/>
              rectil.</note>
              <note style="it" position="right" xlink:label="note-111-06" xlink:href="note-111-06a" xml:space="preserve">
                <lb/>
              Vt ſin{us} tot{us} \\ anguli re- \\ cti B, # ad hypotenuſam \\ DC, proximè in- \\ uentam: # ita ſin{us} anguli BCD, com- \\ plementi maioris anguli ob- \\ ſeruati # ad D B,
                <lb/>
              </note>
            euadet iterum cognita recta DB, &</s>
            <s xml:id="echoid-s3180" xml:space="preserve">c.</s>
            <s xml:id="echoid-s3181" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3182" xml:space="preserve">4. </s>
            <s xml:id="echoid-s3183" xml:space="preserve">
              <emph style="sc">Iam</emph>
            verò ſi latitudo oriſicij AM, vel fundi BC, cognita fuerit, (Non erit
              <lb/>
            autem diffi cile eam aliqua menſura nota metiri) facilius in cognitionem altitu-
              <lb/>
            dinis, profunditatiſue AB, veniemus, pervnicam videlicet ſtationem in D, fa-
              <lb/>
            ctam, hoc modo. </s>
            <s xml:id="echoid-s3184" xml:space="preserve">Fiat,
              <lb/>
              <note style="it" position="right" xlink:label="note-111-07" xlink:href="note-111-07a" xml:space="preserve">
                <lb/>
              Vt ſin{us} \\ tot{us} \\ CB, # ad BD, Tangentem anguli BCD, \\ complementi anguli obſeruatio- \\ nis: # ita latitudo co- \\ gnita CB, # ad DB.
                <lb/>
              </note>
            Numerus enim procreatus offeret DB, notam, vt ſupra, &</s>
            <s xml:id="echoid-s3185" xml:space="preserve">c.</s>
            <s xml:id="echoid-s3186" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3187" xml:space="preserve">
              <emph style="sc">Vel</emph>
            per ſolos ſinus, ſi
              <note symbol="d" position="right" xlink:label="note-111-08" xlink:href="note-111-08a" xml:space="preserve">10. triang.
                <lb/>
              rectil.</note>
              <note style="it" position="right" xlink:label="note-111-09" xlink:href="note-111-09a" xml:space="preserve">
                <lb/>
              Vt ſin{us} anguli \\ B D C, obſer- \\ uationis # ad latitudinem co- \\ gnitam BC: # ita ſin{us} anguli BCD, \\ complemeti anguli ob- \\ ſeruationis. # ad DB,
                <lb/>
              </note>
            inuenietur rurſus DB, &</s>
            <s xml:id="echoid-s3188" xml:space="preserve">c.</s>
            <s xml:id="echoid-s3189" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum