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Chrystal, Introduction to Algebra (1898); H.

00Chrystal, TextBook of Algebra (pt.

00Evelyn notes in his Diary a visit in 1673 to the Italian glass-house at Greenwich, " where glass was blown of finer metal than that of Murano," and a visit in 1677 to the duke of Buckingham's glass-works, where they made huge " vases of mettal as cleare, ponderous and thick as chrystal; also looking-glasses far larger and better than any that came from Venice."

00Hence the density v is given by 47rabc (x2/a4+y2/b4-I-z2/c4), and the potential at the centre of the ellipsoid, and therefore its potential as a whole is given by the expression, adS Q dS V f r 47rabc r' (x2/a4-I-y2/b4+z2/c4) Accordingly the capacity C of the ellipsoid is given by the equation 1 I J dS C 47rabc Y (x 2 +y 2 + z2) V (x2/a4+y2/b4+z2/c4) (5) It has been shown by Professor Chrystal that the above integral may also be presented in the form,' foo C 2 J o J { (a2 + X) (b +X) (c 2 + X) } (6).

00Chrystal's Algebra, where also may be found details of the application of continued fractions to such interesting and important problems as the recurrence of eclipses and the rectification of the calendar.

00For proofs of the theorems here stated and for applications to the more general indeterminate equation x 2 - Ny 2 = H the reader may consult Chrystal's Algebra or Serret's Cours d'Algbbre Superieure; he may also profitably consult a tract by T.

00The reader will find the theory completely treated in Chrystal's Algebra, where will be found the exhibition of a prime number of the form 4p+I as the actual sum of two squares by means of continuants, a result given by H.

00Chrystal in English; Serret's Cours d'algebre supe'rieure in French; and in German those of Stern, Schlomilch, Hatterdorff and Stolz.

00Clerk Maxwell and George Chrystal that Ohm's law is true, within the limits of experimental error, even when the currents are so powerful as almost to fuse the conducting wire.

00Chrystal (b.

00Chrystal adamantly insisted that she had not cheated.

00

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