Important Discoveries in Plane and Solid Geometry, Consisting of the Relation of Polygons to Circles and the Equalizing of Perimeters to ... of an Angle and the Duplication of the

In publishing this book the author feels confident that he has added something to geometrical science, which has not heretofore been known. He especially invites geometricians and mathematicians to examine carefully and without bias, the several propositions and problems, and their demonstrations, contained in the book, and he has no doubt that they will find interest in every page. Some of the problems appearing in this book have occupied the attention of geometricians in all ages since the introduction of geometry as a science, yet all attempts at their solution have been unsuccessful down to the present time. That the author of this little work has been rewarded with the discovery of the true solutions of these problems he confidently leaves to the consideration and candid judgment of geometricians throughout the world.
(Typographical errors above are due to OCR software and don't occur in the book.)

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