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- W4241404472 abstract "SOME months since we noticed Prof. Petersen's “Theorie der algebraischen Gleichungen,” and now we desire to draw attention to two more works by the same writer. The former, in its Danish garb, appeared so long ago as the year 1866, and having been tried and found to be a successful text-book, the author naturally desired to offer his work to a wider circle of geometers and students. The “Methods” has been rendered also into French; it is “an attempt to teach the student how to attack a problem of construction.” Solutions in most cases are merely indicated, the following up the author's remarks being left to the student or teacher. The first chapter treats of “Loci”(method of similitude and inverse figures); the second of “Transformation of the Figures”(parallel translation, replacing, and revolution around an axis); the third of “The Theory of Revolution,” with an appendix on systems of circles and on the possibility of solving a given problem by the straight edge and pair of compasses. It is a work of considerable merit. The “Text-book” we do not value so highly, though there are points of interest and novelty about it also; it contains besides 228 geometrical exercises. We hail Prof. Petersen as a valuable coadjutor in the work of improving geometrical teaching, and shall be glad if his little books meet with a fair measure of acceptance in this country. We could point out what we consider blemishes, but in the main commend both books. The respective translators (both, we presume, Danish students) have done their part intelligently, and English students will have no difficulty in understanding the language, though they may not be able to master the matter." @default.
- W4241404472 created "2022-05-12" @default.
- W4241404472 date "1880-08-01" @default.
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- W4241404472 title "Methods and Theories for the Solution of Problems of Geometrical Construction, Applied to 410 Problems Text-book of Elementary Plane Geometry" @default.
- W4241404472 doi "https://doi.org/10.1038/022360a0" @default.
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