A History of Mathematics: From Antiquity to the Beginning of the Nineteenth Century |
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Page 198
... elliptic integrals , a subject to which he devoted the best years of his life . His earliest contributions to this subject are to be found in two memoirs compiled in 1786 upon elliptic arcs . These are included in the first volume of ...
... elliptic integrals , a subject to which he devoted the best years of his life . His earliest contributions to this subject are to be found in two memoirs compiled in 1786 upon elliptic arcs . These are included in the first volume of ...
Page 206
... elliptic . If however a pencil of lines of constant angle can be drawn , we have a third type ; to this , the name hyperbolic was given . Only in the elliptic are lines of finite length . In the others , any two lines intersect , so ...
... elliptic . If however a pencil of lines of constant angle can be drawn , we have a third type ; to this , the name hyperbolic was given . Only in the elliptic are lines of finite length . In the others , any two lines intersect , so ...
Page 249
... elliptic integrals . An integral of the first kind is defined by the relation x dt or , if tsin 0 , x = sin , u = 0 ... elliptic integrals was systematically studied by Legendre . From his note - books it is clear that Gauss , as early ...
... elliptic integrals . An integral of the first kind is defined by the relation x dt or , if tsin 0 , x = sin , u = 0 ... elliptic integrals was systematically studied by Legendre . From his note - books it is clear that Gauss , as early ...
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