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
91 79
92 80
93 81
94 82
95 83
96 84
97 85
98 86
99 87
100 88
101 89
102 90
103 91
104 92
105 93
106 94
107 95
108 96
109 97
110 98
111 99
112 100
113 101
114 102
115 103
116 104
117 105
118 106
119 107
120 108
< >
page |< < (58) of 232 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div60" type="section" level="1" n="41">
          <p>
            <s xml:id="echoid-s1079" xml:space="preserve">
              <pb o="58" file="0070" n="70"/>
            circa E F, æqualem eſſe cono G E M; </s>
            <s xml:id="echoid-s1080" xml:space="preserve">ergo com-
              <lb/>
            muni addito cylindro K D, erit ſo idum C B k L,
              <lb/>
            æquale cylindro D K, & </s>
            <s xml:id="echoid-s1081" xml:space="preserve">cono G E M. </s>
            <s xml:id="echoid-s1082" xml:space="preserve">Quò hinc
              <lb/>
            inde ablato. </s>
            <s xml:id="echoid-s1083" xml:space="preserve">Ergo ſolidum G C B E k L M, erit æ-
              <lb/>
            quale cylindro k D.</s>
            <s xml:id="echoid-s1084" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1085" xml:space="preserve">Eodem modo oſtendemus æqualitatem partium
              <lb/>
            proportionalium, v. </s>
            <s xml:id="echoid-s1086" xml:space="preserve">g. </s>
            <s xml:id="echoid-s1087" xml:space="preserve">partem annuli ortam ex rota-
              <lb/>
            tione quadrilateri mixti C O P G, æqualem eſſe
              <lb/>
            cylindro Q S. </s>
            <s xml:id="echoid-s1088" xml:space="preserve">Addendo enim cylindrum Q S, & </s>
            <s xml:id="echoid-s1089" xml:space="preserve">
              <lb/>
            auferrendo G P R M, fruſtum conicum, patebit
              <lb/>
            propoſitum.</s>
            <s xml:id="echoid-s1090" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div61" type="section" level="1" n="42">
          <head xml:id="echoid-head53" xml:space="preserve">SCHOLIVM I.</head>
          <p>
            <s xml:id="echoid-s1091" xml:space="preserve">Præſens propoſitio potuiſſet immediate probari
              <lb/>
            per indiuiſibilia independenter ab anteced. </s>
            <s xml:id="echoid-s1092" xml:space="preserve">propo-
              <lb/>
            ſit. </s>
            <s xml:id="echoid-s1093" xml:space="preserve">Quia facta conſtructione vt in anteced propoſit.
              <lb/>
            </s>
            <s xml:id="echoid-s1094" xml:space="preserve">ſtatim patebit ex propoſit. </s>
            <s xml:id="echoid-s1095" xml:space="preserve">11. </s>
            <s xml:id="echoid-s1096" xml:space="preserve">2. </s>
            <s xml:id="echoid-s1097" xml:space="preserve">Conic. </s>
            <s xml:id="echoid-s1098" xml:space="preserve">& </s>
            <s xml:id="echoid-s1099" xml:space="preserve">rectangu-
              <lb/>
            lum O P N, æquale eſſe quadrato B E, ſeù Q I; </s>
            <s xml:id="echoid-s1100" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s1101" xml:space="preserve">armillam circularem O P N, æqualem pariter
              <lb/>
            fore circulo cuius radius Q I. </s>
            <s xml:id="echoid-s1102" xml:space="preserve">Quare facile patebit
              <lb/>
            & </s>
            <s xml:id="echoid-s1103" xml:space="preserve">omnes armillas ſolidi ex quadrilatero mixto
              <lb/>
            C B E G, æquales eſſe omnibus circulis cylindri k D,
              <lb/>
            & </s>
            <s xml:id="echoid-s1104" xml:space="preserve">ipſum annulum ex quadrilatero mixto, æqualem
              <lb/>
            eſſe cylindro k D. </s>
            <s xml:id="echoid-s1105" xml:space="preserve">Maluimus tamen hanc ex ante-
              <lb/>
            cedenti deducere, vt pauidis geometris non relin-
              <lb/>
            quamus vllum locum hæſitandi de certitudine præ-
              <lb/>
            ſentis propoſitionis; </s>
            <s xml:id="echoid-s1106" xml:space="preserve">nam adhibita præſenti conſtru-
              <lb/>
            ctione propoſitio non probatur niſi per </s>
          </p>
        </div>
      </text>
    </echo>
Impressum