The elements of plane geometry
Author | : Mathematical association |
Publisher | : |
Total Pages | : 146 |
Release | : 1884 |
Genre | : |
ISBN | : |
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Author | : Mathematical association |
Publisher | : |
Total Pages | : 146 |
Release | : 1884 |
Genre | : |
ISBN | : |
Author | : Euclid |
Publisher | : |
Total Pages | : 404 |
Release | : 2017-12-17 |
Genre | : Mathematics |
ISBN | : 9781420956474 |
Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.
Author | : Andrew Wheeler Phillips |
Publisher | : |
Total Pages | : 554 |
Release | : 1896 |
Genre | : Geometry |
ISBN | : |
Author | : C. Zwikker |
Publisher | : Courier Corporation |
Total Pages | : 316 |
Release | : 2011-11-30 |
Genre | : Mathematics |
ISBN | : 0486153436 |
"Of chief interest to mathematicians, but physicists and others will be fascinated ... and intrigued by the fruitful use of non-Cartesian methods. Students ... should find the book stimulating." — British Journal of Applied Physics This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves. Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the most elementary facts. The less common curves — cissoid, strophoid, spirals, the leminscate, cycloid, epicycloid, cardioid, and many others — receive introductions that explain both their basic and advanced properties. Derived curves-the involute, evolute, pedal curve, envelope, and orthogonal trajectories-are also examined, with definitions of their important applications. These range through the fields of optics, electric circuit design, hydraulics, hydrodynamics, classical mechanics, electromagnetism, crystallography, gear design, road engineering, orbits of subatomic particles, and similar areas in physics and engineering. The author represents the points of the curves by complex numbers, rather than the real Cartesian coordinates, an approach that permits simple, direct, and elegant proofs.
Author | : Euclides |
Publisher | : |
Total Pages | : 80 |
Release | : 1865 |
Genre | : |
ISBN | : |
Author | : Euclides |
Publisher | : |
Total Pages | : 288 |
Release | : 1860 |
Genre | : |
ISBN | : |
Author | : Alan Sanders |
Publisher | : |
Total Pages | : 260 |
Release | : 1901 |
Genre | : Geometry, Modern |
ISBN | : |
Author | : Ferdinand Rudolph Hassler |
Publisher | : |
Total Pages | : 176 |
Release | : 1828 |
Genre | : Geometry |
ISBN | : |
Author | : Andrew Bell |
Publisher | : |
Total Pages | : 290 |
Release | : 1837 |
Genre | : Euclid's Elements |
ISBN | : |
Author | : Euclid |
Publisher | : |
Total Pages | : 240 |
Release | : 1857 |
Genre | : |
ISBN | : |