Angeli, Stefano degli, Miscellaneum hyperbolicum et parabolicum : in quo praecipue agitur de centris grauitatis hyperbolae, partium eiusdem, atque nonnullorum solidorum, de quibus nunquam geometria locuta est, parabola nouiter quadratur dupliciter, ducuntur infinitarum parabolarum tangentes, assignantur maxima inscriptibilia, minimaque circumscriptibilia infinitis parabolis, conoidibus ac semifusis parabolicis aliaque geometrica noua exponuntur scitu digna

Page concordance

< >
Scan Original
61 49
62 50
63 51
64 52
65 53
66 54
67 55
68 56
69 57
70 58
71 59
72 60
73 61
74 62
75 63
76 64
77 65
78 66
79 67
80 68
81 69
82 70
83 71
84 72
85 73
86 74
87 75
88 76
89 77
90 78
< >
page |< < (28) of 232 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div32" type="section" level="1" n="22">
          <pb o="28" file="0040" n="40"/>
        </div>
        <div xml:id="echoid-div34" type="section" level="1" n="23">
          <head xml:id="echoid-head33" xml:space="preserve">SCHOLIVM III.</head>
          <p>
            <s xml:id="echoid-s544" xml:space="preserve">Galileus in poſtremis dialogis pag. </s>
            <s xml:id="echoid-s545" xml:space="preserve">apud nos, 28,
              <lb/>
            oſtendit paradoxum quodam; </s>
            <s xml:id="echoid-s546" xml:space="preserve">nimirum, circuli cir-
              <lb/>
            cumferentiam æqualem eſſe puncto. </s>
            <s xml:id="echoid-s547" xml:space="preserve">Vt hoc oſten-
              <lb/>
            dat vtitur exceſſu cylindri ſupra hemiſphærium, & </s>
            <s xml:id="echoid-s548" xml:space="preserve">
              <lb/>
            cono, vt ibidem poteſt conſpici. </s>
            <s xml:id="echoid-s549" xml:space="preserve">Sed ſicuti vſus fuit
              <lb/>
            exceſlu cylindri ſupra hemiſphærium, ſic etiam po-
              <lb/>
            terat vti exceſſu cylindri ſupra hemiſphæroides; </s>
            <s xml:id="echoid-s550" xml:space="preserve">ea-
              <lb/>
            dem enim fuiſſet demonſtratio. </s>
            <s xml:id="echoid-s551" xml:space="preserve">Paradoxum Galilei
              <lb/>
            oſtendimus & </s>
            <s xml:id="echoid-s552" xml:space="preserve">nos in appendice noſtri libelli ſexa-
              <lb/>
            ginta problematum geometricorum, adhibendo ex-
              <lb/>
            ceſſum cylindri ſupra conoides parabolicum, & </s>
            <s xml:id="echoid-s553" xml:space="preserve">ip-
              <lb/>
            ſum conoides. </s>
            <s xml:id="echoid-s554" xml:space="preserve">Hoc idem paradoxum facile ex præ-
              <lb/>
            ſenti propoſit. </s>
            <s xml:id="echoid-s555" xml:space="preserve">patebit confirmari poſſe, adhibendo
              <lb/>
            exceſſum prædictum fruſticoni G I K H, ſupra cy-
              <lb/>
            lindrum I M, & </s>
            <s xml:id="echoid-s556" xml:space="preserve">conoides hyperbolicum A B C.
              <lb/>
            </s>
            <s xml:id="echoid-s557" xml:space="preserve">Probatum eſt enim, vbicunque traiciatur planum
              <lb/>
            N P, plano G H, parallelum, ſemper armillam
              <lb/>
            N R P, æqualem eſſe circulo Q T; </s>
            <s xml:id="echoid-s558" xml:space="preserve">ſicuti quamli-
              <lb/>
            bet partem exceſſus æqualem eſſe proportionali par-
              <lb/>
            ti conoidis. </s>
            <s xml:id="echoid-s559" xml:space="preserve">Cum ergo exceſſus prædictus deſinat
              <lb/>
            in circumferentia circuli cuius diameter l k, ſicuti
              <lb/>
            conoides deſinit in puncto B; </s>
            <s xml:id="echoid-s560" xml:space="preserve">videtur ergo colligi
              <lb/>
            circumferentiam æqualem eſſe vertici B.</s>
            <s xml:id="echoid-s561" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum