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 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 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 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 Basics of Triangles written by Smita Suvadarsini and published by Smita Suvadarsini. This book was released on 2021-06-25 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the concepts of fundamentals of triangles (on a 2D plane) in a lucid way for middle school and high school students. The topics start from knowing about angles, parallel lines to the medians, perpendicular bisectors and angle bisectors of a triangle as well as finding the areas of different triangles and also, knowing orthocenter, circumcenter etc. of a triangle. Each concept in a chapter includes various examples to help you understand those concepts in a deeper way. This book is made with the aim of helping you learn geometry of triangles in a much simpler way without much prior knowledge. Hope you enjoy this book and it helps you in learning more about geometry!
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 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 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 Notes on the geometry of the plane triangle written by John Griffiths and published by . This book was released on 1867 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Notes on the Geometry of the Plane Triangle written by John Griffiths (Warden of Wadham College.) and published by . This book was released on 1867 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Notes on the geometry of the plane triangle written by John GRIFFITHS (M.A., of Jesus College, Oxford.) and published by . This book was released on 1867 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 The Secrets of Triangles written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2012-08-28 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.
Download or read book Orthological Triangles written by Nathan Altshiller-Court and published by . This book was released on 1952 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Notes on the geometry of thr plane triangle written by John Griffiths and published by . This book was released on 1867 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Geometry and Trigonometry written by Adrien Marie Legendre and published by . This book was released on 1834 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
