Askwith - Cambridge University Press, 1917 ( 11150 views) A Course of Pure Geometry: Properties of the Conic Sectionsīy E.H. The main subjects of the work are geometry, proportion, and number theory. ( 9823 views) Euclid's Elements of GeometryĮuclid's Elements is the most famous mathematical work of classical antiquity, and also has the distinction of being the oldest continuously used mathematical textbook. ( 9950 views) Advanced Geometry for High Schools: Synthetic and AnalyticalĬontents: Theorems of Menelaus and Ceva The Nine-Point Circle Simpson's Line Areas op Rectangles Radical Axis Medial Section Miscellaneous Theorems Similar and Similarly Situated Polygons Harmonic Ranges and Pencils etc. It is a new edition of the most successful textbook of all time. In the following work I have investigated the more elementary properties of the Ellipse, Parabola, and Hyperbola, defined with reference to a focus and directrix, before considering the General Equation of the Second Degree.īy Daniel Callahan -, 2014Įuclid's 'Elements' Redux is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. ( 9771 views) An Elementary Treatise on Conic Sectionsīy Charles Smith - The Macmillan Company, 1905 ( 7725 views) Geometry: From Ancient to Modernīy Wong Yan Loi - National University of Singapore, 1999Ĭontents: Pythagoras' theorem Pythagorean triples commensurable and incommensurable quantities Eudoxus' theory of proportion method of exhaustion continued fractions the surface area of a sphere the method regular polyhedra symmetries etc. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves. We outline some interesting results with illustrations made by dynamic software. ( 7335 views) A Tour of Triangle Geometryīy Paul Yiu - Florida Atlantic University, 2005 And the numerical answers are appended to many of the examples. We describe how the drawing instruments may be set and maintained. The necessity of accurate draughtsmanship is insisted on throughout. This book is written for Science students. ( 7896 views) Practical Plane and Solid Geometry for Advanced Studentsīy J. The book is especially a didactic material. The solutions are at the end of each chapter. The degree of difficulties of the problems is from easy and medium to hard.
#Euclidean geometry plus#
This book includes 255 problems of 2D and 3D Euclidean geometry plus trigonometry.
#Euclidean geometry how to#
This document reviews the geometry of angles and circles, then treats rotations in plane geometry before showing how to formulate problems in GA terms, then solve them.Ĭompiled and Solved Problems in Geometry and Trigonometryīy Florentin Smarandache -, 2015
Geometric Algebra (GA) promises to become a universal mathematical language. ( 6887 views) Rotations of Vectors Via Geometric Algebra Professor Pelix Klein presented in this book a discussion of the three famous geometric problems of antiquity - the duplication of the cube, the trisection of an angle, and the quadrature of the circle, as viewed in the light of modern research. ( 5527 views) Famous Problems of Elementary Geometry The author expresses his expectation, that these novel and interesting theorems some British, but the greater part derived from French and German sources will widen the outlook of our mathematical instructors and lend new vigour to their teaching. ( 3573 views) The Modern Geometry of the Triangle Miller also introduces a diagrammatic computer proof system, based on this formal system. Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can be used rigorously. E-books in Euclidean Geometry category Euclid and His Twentieth Century Rivals
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