Apollonius <Pergaeus>; Lawson, John, The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

Table of Notes

< >
[Note]
Page: 11
[Note]
Page: 22
[Note]
Page: 41
[Note]
Page: 68
[Note]
Page: 72
[Note]
Page: 74
[Note]
Page: 102
[Note]
Page: 106
[Note]
Page: 137
[Note]
Page: 139
[Note]
Page: 141
[Note]
Page: 142
[Note]
Page: 143
[Note]
Page: 144
[Note]
Page: 145
[Note]
Page: 146
[Note]
Page: 147
[Note]
Page: 148
[Note]
Page: 152
[Note]
Page: 153
[Note]
Page: 154
[Note]
Page: 155
[Note]
Page: 156
< >
page |< < ([14]) of 161 > >|
    <echo version="1.0RC">
      <text xml:lang="en" type="free">
        <div xml:id="echoid-div105" type="section" level="1" n="97">
          <pb o="[14]" file="0142" n="154"/>
          <note position="right" xml:space="preserve">
            <lb/>
          34. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          . H + m.
            <lb/>
          35. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          : H
            <emph style="sub">2</emph>
          - m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          36. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          : H
            <emph style="sub">2</emph>
          + 2m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          37. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          : P
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          38. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          . S.
            <lb/>
          39. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          : s
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          40. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          : 2S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          41. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          .: S
            <emph style="sub">2</emph>
          + 2m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          42. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          : Sxn. any other.
            <lb/>
          43. H
            <emph style="sub">2</emph>
          + S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          . n.
            <lb/>
          44. H x S + S x m + S
            <emph style="sub">2</emph>
          . H + m.
            <lb/>
          45. H x S + S x m + S
            <emph style="sub">2</emph>
          . S.
            <lb/>
          46. H + m. H
            <emph style="sub">2</emph>
          - m
            <emph style="sub">2</emph>
          .
            <lb/>
          47. H + m. P.
            <lb/>
          48. H + m. s.
            <lb/>
          49. H
            <emph style="sub">2</emph>
          + 2m
            <emph style="sub">2</emph>
          : P
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          50. H
            <emph style="sub">2</emph>
          ±m
            <emph style="sub">2</emph>
          : S
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          51. H
            <emph style="sub">2</emph>
          - m
            <emph style="sub">2</emph>
          : S
            <emph style="sub">2</emph>
          + 2m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          52. H
            <emph style="sub">2</emph>
          - m
            <emph style="sub">2</emph>
          . n.
            <lb/>
          53. P. m
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          .
            <lb/>
          54. P
            <emph style="sub">2</emph>
          : m
            <emph style="sub">2</emph>
          ±n
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          55. P + m. n, or P + n. m.
            <lb/>
          56. P - n. m.
            <lb/>
          57. m - P. n.
            <lb/>
          58. P + m. m - n.
            <lb/>
          59. P + n. m - n.
            <lb/>
          60. P
            <emph style="sub">2</emph>
          + s
            <emph style="sub">2</emph>
          : m
            <emph style="sub">2</emph>
          - P
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          61. P
            <emph style="sub">2</emph>
          + s
            <emph style="sub">2</emph>
          : S
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          </note>
        </div>
      </text>
    </echo>
Impressum