Download or read book The Geometry of Homological Triangles written by Florentin Smarandache, Ion Patrascu and published by Infinite Study. This book was released on 2011 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book THE GEOMETRY OF THE ORTHOLOGICAL TRIANGLES written by Ion Pătrașcu and published by Infinite Study. This book was released on with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book A Theorem about Simultaneous Orthological and Homological Triangles written by Ion Pătraşcu and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Also, we introduce the notion of Orthohomological Triangles, which means two triangles that are simultaneously orthological and homological.

Download or read book Two Remarkable Ortho Homological Triangles written by Ion Pătraşcu and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a previous paper we have introduced the ortho-homological triangles, which are triangles that are orthological and homological simultaneously.

Download or read book Complements to Classic Topics of Circles Geometry written by Ion Patrascu and published by Infinite Study. This book was released on with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Variance of Topics of Plane Geometry written by Ion Patrascu and published by Infinite Study. This book was released on 2013 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Contributions to the Geometry of the Triangle written by Robert Judson Aley and published by . This book was released on 1897 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Modern Geometry written by Roger Arthur Johnson and published by . This book was released on 1929 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Around Caspar Wessel and the Geometric Representation of Complex Numbers written by Jesper Lützen and published by Kgl. Danske Videnskabernes Selskab. This book was released on 2001 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Modern Geometry of the Triangle written by William Gallatly and published by . This book was released on 1913 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collected Papers Volume V written by Florentin Smarandache and published by Infinite Study. This book was released on 2014-09-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes 37 papers of mathematics or applied mathematics written by the author alone or in collaboration with the following co-authors: Cătălin Barbu, Mihály Bencze, Octavian Cira, Marian Niţu, Ion Pătraşcu, Mircea E. Şelariu, Rajan Alex, Xingsen Li, Tudor Păroiu, Luige Vlădăreanu, Victor Vlădăreanu, Ştefan Vlăduţescu, Yingjie Tian, Mohd Anasri, Lucian Căpitanu, Valeri Kroumov, Kimihiro Okuyama, Gabriela Tonţ, A. A. Adewara, Manoj K. Chaudhary, Mukesh Kumar, Sachin Malik, Alka Mittal, Neetish Sharma, Rakesh K. Shukla, Ashish K. Singh, Jayant Singh, Rajesh Singh,V.V. Singh, Hansraj Yadav, Amit Bhaghel, Dipti Chauhan, V. Christianto, Priti Singh, and Dmitri Rabounski. They were written during the years 2010-2014, about the hyperbolic Menelaus theorem in the Poincare disc of hyperbolic geometry, and the Menelaus theorem for quadrilaterals in hyperbolic geometry, about some properties of the harmonic quadrilateral related to triangle simedians and to Apollonius circles, about Luhn prime numbers, and also about the correspondences of the eccentric mathematics of cardinal and integral functions and centric mathematics, or ordinary mathematics; there are some notes on Crittenden and Vanden Eynden's conjecture, or on new transformations, previously non-existent in traditional mathematics, that we call centric mathematics (CM), but that became possible due to the new born eccentric mathematics, and, implicitly, to the supermathematics (SM); also, about extenics, in general, and extension innovation model and knowledge management, in particular, about advanced methods for solving contradictory problems of hybrid position-force control of the movement of walking robots by applying a 2D Extension Set, or about the notion of point-set position indicator and that of point-two sets position indicator, and the navigation of mobile robots in non-stationary and nonstructured environments; about applications in statistics, such as estimators based on geometric and harmonic mean for estimating population mean using information; about Godel’s incompleteness theorem(s) and plausible implications to artificial intelligence/life and human mind, and many more.

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Download or read book A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation written by William J. M'Clelland and published by . This book was released on 1891 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Elementary Treatise on Pure Geometry with Numerous Examples written by John Wellesley Russell and published by . This book was released on 1905 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Homologous Triangles written by Sir Thomas Muir and published by . This book was released on 1872 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Two applications of the concepts of pole and polar with respect to a circle written by Ion Pătrașcu and published by Infinite Study. This book was released on 2024-01-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we present in a unified form the theoretical results regarding the concepts of pole and polar with respect to a circle, and as applications of these, we offer a demonstration of Newton’s theorem related to the circumscribed quadrilateral and a demonstration of a theorem usually derived as a particular case of Pascal’s theorem related to the inscribed hexagon.

Download or read book Lucas s Inner Circles written by Ion Patrascu and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we define the Lucas’s inner circles and we highlight some of their properties.