Clavius, Christoph, Geometria practica

Page concordance

< >
Scan Original
71 41
72 42
73 43
74 44
75 45
76 46
77 47
78 48
79 49
80 50
81 51
82 52
83 53
84 54
85 55
86 56
87 57
88 58
89 59
90 60
91 61
92 62
93 63
94 64
95 65
96 68
97 67
98 68
99 69
100 70
< >
page |< < (46) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div74" type="section" level="1" n="26">
          <pb o="46" file="076" n="76" rhead="GEOMETR. PRACT."/>
        </div>
        <div xml:id="echoid-div75" type="section" level="1" n="27">
          <head xml:id="echoid-head30" xml:space="preserve">VII. ANGVLVM.</head>
          <p>
            <s xml:id="echoid-s1937" xml:space="preserve">Ex baſe, & </s>
            <s xml:id="echoid-s1938" xml:space="preserve">vno latere inquirere.</s>
            <s xml:id="echoid-s1939" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt baſis # ad ſinum to- \\ tum # ita lat{us} da- \\ tum # ad ſinum anguli dato lateri oppo- \\ ſiti
            <lb/>
          </note>
          <note position="left" xml:space="preserve">3. Triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s1940" xml:space="preserve">Complementum anguli inuenti dabit alterum angulum.</s>
            <s xml:id="echoid-s1941" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div76" type="section" level="1" n="28">
          <head xml:id="echoid-head31" xml:space="preserve">VIII. ANGVLVM.</head>
          <p>
            <s xml:id="echoid-s1942" xml:space="preserve">Ex vtro que latere reddere cognitum.</s>
            <s xml:id="echoid-s1943" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt lat{us} alte- \\ rutrum # ad ſinum \\ totum: # ita alterum la- \\ t{us} datum # ad tangentem anguli huic al- \\ teri laterioppoſiti.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">3. Triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s1944" xml:space="preserve">Complementum anguli inuenti dabit alterum angulum.</s>
            <s xml:id="echoid-s1945" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div77" type="section" level="1" n="29">
          <head xml:id="echoid-head32" xml:space="preserve">TRIANGVLORVM RECTILINEO-
            <lb/>
          rum obliquangulorum Problemata.
            <lb/>
          IX. SEGMENTA LATERIS A
            <lb/>
          Perpendiculari facta.</head>
          <p>
            <s xml:id="echoid-s1946" xml:space="preserve">Ex datis tribus lateribus cognoſcere.</s>
            <s xml:id="echoid-s1947" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt lat{us}, in quod \\ cadit perpen- \\ dicularis # ad ſummam alio- \\ rum duorum la- \\ terum # ita differentia \\ eorundẽ duo- \\ rum laterum # ad quartum quen- \\ dam numerum.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">9. Triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s1948" xml:space="preserve">Et ſi quidem quartus numerus inuentus minor fuerit latere, in quod cadit
              <lb/>
            perpendicularis, auferendus is erit exillo latere. </s>
            <s xml:id="echoid-s1949" xml:space="preserve">Semiſsis enim reliqui numeri
              <lb/>
            dabit minus ſegmentum, quod ex toto latere ſubductum relinquet ſegmentum
              <lb/>
            maius.</s>
            <s xml:id="echoid-s1950" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1951" xml:space="preserve">Si verò quartus numerus inuentus maior fuerit latere, in quod cadit perpen-
              <lb/>
            dicularis, auferendum erit hoc latus ex illo numero. </s>
            <s xml:id="echoid-s1952" xml:space="preserve">Semiſsis enim reliqui nu-
              <lb/>
            meri dabit ſegmentum minus, exterius videlicet inter perpendicularem, & </s>
            <s xml:id="echoid-s1953" xml:space="preserve">an-
              <lb/>
            gulum obtuſum: </s>
            <s xml:id="echoid-s1954" xml:space="preserve">quod additum eidem lateri conflabit aliud ſegmentum maius
              <lb/>
            inter perpendicularem, & </s>
            <s xml:id="echoid-s1955" xml:space="preserve">angulum acutum.</s>
            <s xml:id="echoid-s1956" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div78" type="section" level="1" n="30">
          <head xml:id="echoid-head33" xml:space="preserve">X. LATERA DVO.</head>
          <p>
            <s xml:id="echoid-s1957" xml:space="preserve">Ex tertio latere, & </s>
            <s xml:id="echoid-s1958" xml:space="preserve">duobus quibuſuis angulis, ac proinde omnibus tribus,
              <lb/>
            cumtertius ſit aliorum complementum ad ſemicirculum, hoc eſt, ad grad. </s>
            <s xml:id="echoid-s1959" xml:space="preserve">180.
              <lb/>
            </s>
            <s xml:id="echoid-s1960" xml:space="preserve">inuenire.</s>
            <s xml:id="echoid-s1961" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          1. Vt ſin{us} an- \\ guli dato la- \\ teri oppoſiti # ad lat{us} da- \\ tuns
            <unsure/>
          : # ita ſin{us} alteru- \\ tri{us} reliquorũ \\ angulorum # ad lat{us} huic langulo \\ oppoſitum.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">10. Triang.
            <lb/>
          rectil.</note>
        </div>
        <div xml:id="echoid-div79" type="section" level="1" n="31">
          <head xml:id="echoid-head34" xml:space="preserve">Rurſus</head>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} anguli dato \\ laterioppoſiti # ad lat{us} da- \\ tum: # ita ſin{us} tertii \\ anguli # ad lat{us} huic tertio an- \\ gulo oppoſitum.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">1. Triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s1962" xml:space="preserve">2. </s>
            <s xml:id="echoid-s1963" xml:space="preserve">
              <emph style="sc">In</emph>
            Iſoſcele vnius tantum lateris inuentione opus eſt, cum vnum </s>
          </p>
        </div>
      </text>
    </echo>
Impressum