Complements to Classic Topics of Circles Geometry

Complements to Classic Topics of Circles Geometry PDF 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.

Complements to Classic Topics of Circles Geometry

Complements to Classic Topics of Circles Geometry PDF Author: Ion Patrascu
Publisher: Infinite Study
ISBN: 1599734656
Category :
Languages : en
Pages : 182

Get Book Here

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.

Some Properties of the Harmonic Quadrilateral

Some Properties of the Harmonic Quadrilateral PDF Author: Ion Patrascu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16

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Book Description
In this article, we review some properties of the harmonic quadrilateral related to triangle simedians and to Apollonius’s Circle.

Lucas’s Inner Circles

Lucas’s Inner Circles PDF Author: Ion Patrascu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

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Book Description
In this article, we define the Lucas’s inner circles and we highlight some of their properties.

Radical Axis of Lemoine’s Circles

Radical Axis of Lemoine’s Circles PDF Author: Ion Patrascu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

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Book Description
In this article, we emphasize the radical axis of the Lemoine’s circles.

THE GEOMETRY OF THE ORTHOLOGICAL TRIANGLES

THE GEOMETRY OF THE ORTHOLOGICAL TRIANGLES PDF Author: Ion Pătrașcu
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 310

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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.

Theorems with Parallels Taken through a Triangle’s Vertices and Constructions Performed only with the Ruler

Theorems with Parallels Taken through a Triangle’s Vertices and Constructions Performed only with the Ruler PDF Author: Ion Patrascu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 25

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Book Description
In this article, we solve problems of geometric constructions only with the ruler, using known theorems.

Classical Algebraic Geometry

Classical Algebraic Geometry PDF Author: Igor V. Dolgachev
Publisher: Cambridge University Press
ISBN: 1139560786
Category : Mathematics
Languages : en
Pages : 653

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Book Description
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.

Euclid's Elements

Euclid's Elements PDF Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

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Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Euclid's Elements of Geometry

Euclid's Elements of Geometry PDF Author: Euclid
Publisher:
ISBN:
Category :
Languages : en
Pages : 546

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Book Description
EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.

The Geometry of Homological Triangles

The Geometry of Homological Triangles PDF Author: Florentin Smarandache, Ion Patrascu
Publisher: Infinite Study
ISBN: 1934849758
Category : Geometry
Languages : en
Pages : 246

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Book Description