On the Pentacardioid: Abstract of a Dissertation Submitted to the Board of University Studies of the Johns Hopkins University in Conformity with the ... of Doctor of Philosophy (Classic Reprint) - Hardcover
Synopsis
Excerpt from On the Pentacardioid: Abstract of a Dissertation Submitted to the Board of University Studies of the Johns Hopkins University in Conformity With the Requirements for the Degree of Doctor of Philosophy
An equation in complex variables is said to be self-conjugate when it is identical with the equation obtained by replacing each quantity by its conjugate, or differs from this equation merely by some factor; such an equation corre sponde to an equation in real variables with real coefficients. The roots of a self-conjugate equation in t are either turns or pairs of inverse points as to the base circle, and these latter bear to the self-conjugate equation in t the same relation that pairs of conjugate imaginary roots bear to the equation with real coefficients in one real variable.
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