The Geometry of Remarkable Elements

The Geometry of Remarkable Elements PDF Author: Constantin Mihalescu
Publisher:
ISBN: 9780996874519
Category : Geometry, Modern
Languages : en
Pages : 0

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Book Description
This book is an English translation of a text written by Constantin Mihalescu, a retired artillery colonel and enthusiastic amateur mathematician. With the majority of the results obtained in the second half of the 19th century and the first half of the 20th century, this book was one of the most complete descriptions of geometry of its time. It contains a comprehensive collection of the most important properties of points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s, and a rich assortment of problems to entice and inspire readers of all levels. Topics covered include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and much more.

The Geometry of Remarkable Elements

The Geometry of Remarkable Elements PDF Author: Constantin Mihalescu
Publisher:
ISBN: 9780996874519
Category : Geometry, Modern
Languages : en
Pages : 0

Get Book Here

Book Description
This book is an English translation of a text written by Constantin Mihalescu, a retired artillery colonel and enthusiastic amateur mathematician. With the majority of the results obtained in the second half of the 19th century and the first half of the 20th century, this book was one of the most complete descriptions of geometry of its time. It contains a comprehensive collection of the most important properties of points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s, and a rich assortment of problems to entice and inspire readers of all levels. Topics covered include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and much more.

The Elements of Geometry

The Elements of Geometry PDF Author: George Bruce Halsted
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 400

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Elements of Geometry

Elements of Geometry PDF Author: Andrew Wheeler Phillips
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 574

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Elements of Geometry

Elements of Geometry PDF Author: Adrien Marie Legendre
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 576

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Elements of Geometry

Elements of Geometry PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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The Elements of Geometry

The Elements of Geometry PDF Author: Walter Nelson Bush
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 376

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The Elements of Geometry

The Elements of Geometry PDF Author: George Bruce Halsted
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 0

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A Treatise of Geometry, Containing the First Six Books of Euclid's Elements

A Treatise of Geometry, Containing the First Six Books of Euclid's Elements PDF Author: Daniel Cresswell
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 540

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Encounters with Euclid

Encounters with Euclid PDF Author: Benjamin Wardhaugh
Publisher: Princeton University Press
ISBN: 0691235767
Category : Mathematics
Languages : en
Pages : 416

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Book Description
A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.

Elements of Geometry

Elements of Geometry PDF Author: Euclid
Publisher:
ISBN:
Category : Euclid's Elements
Languages : en
Pages : 472

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