A COUPLE OF MINOR PARADOXES.

The discovery of a general resolution of all superior finite equations,

of every numerical both algebraick and transcendent form. By A. P.

Vogel,[761] mathematician at Leipzick. Leipzick and London, 1845, 8vo.

This work is written in the English of a German who has not mastered the

idiom: but it is always intelligible. It professes to solve equations of

every degree "in a more extent sense, and till to every degree of

exactness." The general solution of equations of _all_ degrees is a vexed

question, which cannot have the mysterious interest of the circle problem,

and is of a comparatively modern date.[762] Mr. Vogel {374} announces a

forthcoming treatise in which are resolved the "last impossibilities of

pure mathematics."

Elective Polarity the Universal Agent. By Frances Barbara Burton,

authoress of 'Astronomy familiarized,' 'Physical Astronomy,' &c.

London, 1845, 8vo.[763]

The title gives a notion of the theory. The first sentence states, that

12,500 years ago [alpha] Lyrae was the pole-star, and attributes the immense

magnitude of the now fossil animals to a star of such "polaric intensity as

Vega pouring its magnetic streams through our planet." Miss Burton was a

lady of property, and of very respectable acquirements, especially in

Hebrew; she was eccentric in all things.

1867.--Miss Burton is revived by the writer of a book on meteorology which

makes use of the planets: she is one of his leading minds.[764]

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