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Some lines in the pencil through A. In geometry, a pencil is a family of geometric objects with a common property, for example the set of lines that pass through a given point in a plane, or the set of circles that pass through two given points in a plane.
In turn, Geometric Exercises in Paper Folding inspired other works of mathematics. A chapter in Mathematische Unterhaltungen und Spiele [Mathematical Recreations and Games] by Wilhelm Ahrens (1901) concerns folding and is based on Rao's book, inspiring the inclusion of this material in several other books on recreational mathematics.
Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today. His book, The Elements is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century. [1]
Apollonian gasket; Apollonian sphere packing; Blancmange curve; Cantor dust; Cantor set; Cantor tesseract [citation needed]; Circle inversion fractal; De Rham curve; Douady rabbit; Dragon curve
Composed of three books, it deals with the geometry of the sphere and its application in astronomical measurements and calculations. The book introduces the concept of spherical triangle (figures formed of three great circle arcs, which he named "trilaterals") and proves Menelaus' theorem on collinearity of points on the edges of a triangle ...
The Geometry of an Art: The History of the Mathematical Theory of Perspective from Alberti to Monge is a book in the history of mathematics, on the mathematics of graphical perspective. It was written by Kirsti Andersen , and published in 2007 by Springer-Verlag in their book series Sources and Studies in the History of Mathematics and Physical ...
The first seven chapters of the book concern perspectivity, while its final two concern fractals and their geometry. [1] [2] Topics covered within the chapters on perspectivity include coordinate systems for the plane and for Euclidean space, similarity, angles, and orthocenters, one-point and multi-point perspective, and anamorphic art.
Mathematics professor John Allen Paulos of Temple University wrote an article for The New York Review of Books, praising The Number Devil as a "charming numerical fairy tale for children." [14] Likewise, mathematics writer Martin Gardner of the Los Angeles Times applauded Enzensberger's introduction of mathematics "in such an entertaining way."