A Theorem about Simultaneous Orthological and Homological Triangles PDF Download
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Author: Ion Pătraşcu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
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Book Description
Also, we introduce the notion of Orthohomological Triangles, which means two triangles that are simultaneously orthological and homological.
Author: Ion Pătraşcu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
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Book Description
Also, we introduce the notion of Orthohomological Triangles, which means two triangles that are simultaneously orthological and homological.
Author: Florentin Smarandache, Ion Patrascu
Publisher: Infinite Study
ISBN: 1934849758
Category : Geometry
Languages : en
Pages : 246
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Book Description
Author: Ion Patrascu
Publisher: Infinite Study
ISBN: 1599734656
Category :
Languages : en
Pages : 182
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Book Description
We approach several themes of classical geometry of the circle and complete them with some original results, showing that not everything in traditional math is revealed, and that it still has an open character. The topics were chosen according to authors’ aspiration and attraction, as a poet writes lyrics about spring according to his emotions.
Author: Ion Pătraşcu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
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Book Description
In a previous paper we have introduced the ortho-homological triangles, which are triangles that are orthological and homological simultaneously.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 9526734920
Category : Science
Languages : en
Pages : 802
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Book Description
This is an eclectic tome of 100 papers in various fields of sciences, alphabetically listed, such as: astronomy, biology, calculus, chemistry, computer programming codification, economics and business and politics, education and administration, game theory, geometry, graph theory,information fusion, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, psychology, quantum physics, scientific research methods, and statistics ¿ containing 800 pages.It was my preoccupation and collaboration as author, co-author, translator, or co-translator, and editor with many scientists from around the world for long time. Many ideas from this book are to be developed and expanded in future explorations.
Author: Ion Pătrașcu
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 312
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Book Description
The book is addressed to both those who have studied and love geometry, as well as to those who discover it now, through study and training, in order to obtain special results in school competitions. In this regard, we have sought to prove some properties and theorems in several ways: synthetic, vectorial, analytical.
Author: Ion Patrascu
Publisher: Infinite Study
ISBN: 1599732475
Category : Geometry, Modern
Languages : en
Pages : 114
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Book Description
This book contains 21 papers of plane geometry. It deals with various topics, such as: quasi-isogonal cevians, nedians, polar of a point with respect to a circle, anti-bisector, aalsonti-symmedian, anti-height and their isogonal. A nedian is a line segment that has its origin in a triangle’s vertex and divides the opposite side in n equal segments. The papers also study distances between remarkable points in the 2D-geometry, the circumscribed octagon and the inscribable octagon, the circles adjointly ex-inscribed associated to a triangle, and several classical results such as: Carnot circles, Euler’s line, Desargues theorem, Sondat’s theorem, Dergiades theorem, Stevanovic’s theorem, Pantazi’s theorem, and Newton’s theorem. Special attention is given in this book to orthological triangles, biorthological triangles, ortho-homological triangles, and trihomological triangles. Each paper is independent of the others. Yet, papers on the same or similar topics are listed together one after the other. The book is intended for College and University students and instructors that prepare for mathematical competitions such as National and International Mathematical Olympiads, or for the AMATYC (American Mathematical Association for Two Year Colleges) student competition, Putnam competition, Gheorghe Ţiţeica Romanian competition, and so on. The book is also useful for geometrical researchers.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730995
Category : Mathematics
Languages : en
Pages : 132
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Book Description
Papers on Smarandache¿s codification used in computer programming, smarandacheials, totient and congruence functions, sequences, irrational constants in number theory, multi-space and geometries.
Author: Henning Krause
Publisher: Cambridge University Press
ISBN: 1108985815
Category : Mathematics
Languages : en
Pages : 518
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Book Description
Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering pure-injectives, definable subcategories, and Ziegler spectra. With its clear, detailed exposition of important topics in modern representation theory, many of which were unavailable in one volume until now, it deserves a place in every representation theorist's library.
Author: David Eisenbud
Publisher: Cambridge University Press
ISBN: 1107017084
Category : Mathematics
Languages : en
Pages : 633
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Book Description
3264, the mathematical solution to a question concerning geometric figures.
