Complements To Classic Topics Of Circles Geometry

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Complements To Classic Topics Of Circles Geometry

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Author : Ion Patrascu
language : en
Publisher: Infinite Study
Release Date :

Complements To Classic Topics Of Circles Geometry written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

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

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Author : Ion Patrascu
language : en
Publisher: Infinite Study
Release Date :

Some Properties Of The Harmonic Quadrilateral written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

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

Lucas S Inner Circles

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Author : Ion Patrascu
language : en
Publisher: Infinite Study
Release Date :

Lucas S Inner Circles written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

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

Radical Axis Of Lemoine S Circles

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Author : Ion Patrascu
language : en
Publisher: Infinite Study
Release Date :

Radical Axis Of Lemoine S Circles written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

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

The Geometry Of The Orthological Triangles

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Author : Ion Pătrașcu
language : en
Publisher: Infinite Study
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The Geometry Of The Orthological Triangles written by Ion Pătrașcu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

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

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Author : Ion Patrascu
language : en
Publisher: Infinite Study
Release Date :

Theorems With Parallels Taken Through A Triangle S Vertices And Constructions Performed Only With The Ruler written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

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

Lemoine S Circles Radius Calculus

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Author : Ion Patrascu
language : un
Publisher: Infinite Study
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Lemoine S Circles Radius Calculus written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

For the calculus of the first Lemoine’s circle, we will first prove.

Apollonius S Circle Of Second Rank

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Author : Ion Patrascu
language : un
Publisher: Infinite Study
Release Date :

Apollonius S Circle Of Second Rank written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

This article highlights some properties of Apollonius’s circle of second rank in connection with the adjoint circles and the second Brocard’s triangle.

The Radical Circle Of Exinscribed Circles Of A Triangle

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Author : Ion Patrascu
language : un
Publisher: Infinite Study
Release Date :

The Radical Circle Of Exinscribed Circles Of A Triangle written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

In this article, we prove several theorems about the radical center and the radical circle of ex-inscribed circles of a triangle and calculate the radius of the circle from vectorial considerations.

Regarding The Second Drozfarny S Circle

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Author : Ion Patrascu
language : un
Publisher: Infinite Study
Release Date :

Regarding The Second Drozfarny S Circle written by Ion Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

In this article, we prove the theorem relative to the second Droz-Farny’s circle, and a sentence that generalizes it.