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spicuity in illustration, and familiarity in the use of terms, are points which have been kept constantly in view.
In the following treatise, the principles are presented in an improved and intelligible form ; and some of them have never before appeared in any similar work. The Rules for finding the sum, the difference, and the product of the squares of numbers, without finding their squares — The Rule for finding the solidity of a wedge – The Rules for finding the chord of an arc of a circle, and for the construction of an ellipsis, are among the latter. The Rule for the Mensuration of loads of wood for fuel, is brief, simple, and easily applied. In Duodecimals, or multiplication of feet, inches, and parts, it is believed that an essential improvement has been made ; rendering that difficult, and, to some, almost inexplicable operation, plain and intelligible.
In Common and Decimal Fractions the operations are clear and perspicuous, and may be understood and applied as easily as similar operations upon whole numbers. These, with the Extraction of the Square and Cube Roots, form an important and indispensable introduction to Mensuration, Surveying, Navigation, and other practical branches of matheinatics, and are recommended to the attentive examination of the student.
There are upwards of seven hundred practical questions and illustrations, relating to the business of the Architect Surveyor, Carpenter, Mason, Painter, Glazier, and other branches of mechanical operation. To the Agricultural, Mercantile, and Commercial community, this work will afford much useful infor.nation, applicable to their respective branches of labor and enterprise.
The sublime truths of mathematics, emanating, as they do, immediately from the “Great Geonieter” of the Universe, and incapable either of improvement or alteration by any human mind, should not be concealed within literary palaces, nor obscured by the mist of technical phrascology when permitted to go out. They are
the common property of all, and should be diffused as freely as the vital air, and the light of heaven ; that all may comprehend, admire, and enjoy them.
In a society, such as the American public, distinguished for the general diffusion of knowledge, every attempt to radiate and extend the light of science will be duly appreciated ; and he who dispels the darkness of ignorance from a single human mind, and supplies it with the light of truth, will not be unrewarded.
B. F. C. JULY 1, 1836.
ANDOVER, DECEMBER 10, 1836, MR. CALLESDER,
Dear Sir, - I have carefully examined your Geometry, and do most cheerfully bear testimony to its very great worth. It seems to have been sedulously prepared, and must prove a useful and convenient manual for schools and practical men. It comprises a far greater amount of knowledge than any similar work. Every part of it is perfectly clear and intelligible; and I cannot but urge teachers to examine it, that they may become acquainted with its merits.
CHARLES H. ALLEN.
[From the American Annals of Education, for January, 1837.]
This work appears to be at once simple, perspicuous, and judi. cious. We have seen no treatise in this department better adapted to the wants of teachers and pupils. The style of its execution is equally commendable.