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It is said, by such as professe the mathematicall sciences, that all things stand by proportion, and that without it nothing could stand to be good or beautiful.

Puttenham, Arte of English Poesie, Lib. ii. c. 1.

J. B. NICHOLS AND SON, 25, PARLIAMENT STREET.

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THE NEW YORK PUBLIC LIBRARY

ASTOR, 'NOX TIL DEN FOUNDATION

NOTICE TO THE READER.

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OWING to circumstances, which need not be detailed, the first Volume was printed off, two years before the greater part of the second Volume went to the press, and indeed before it was written. This may account for a seeming inaccuracy as regards dates ; and will make it necessary for the reader, when he meets with the phrases, "a short time since,” “two or three years ago," &c. to allow

” for the time, which has elapsed since they were written. Perhaps too it may serve, in some measure, as an apology for the additional notes at the end of each volume. Two years could hardly pass away, without the author seeing reason to modify much that he had advanced, upon a subject so novel and so extensive as the present one.

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