Titlebook: Geometric Inequalities; Methods of Proving Hayk Sedrakyan,Nairi Sedrakyan Textbook 2017 Springer International Publishing AG 2017 Geometric

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Theorem on the Length of the Broken Line,This chapter consists of two sections. Section 1.1 is devoted to the applications of one of the most important geometric inequalities, called the ..

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Application of Projection Method,This chapter consists of four sections and is devoted to the .. The projection method is one of the fundamental methods applied in order to deal with geometric inequalities.

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Application of Vectors,This chapter is devoted to the application of vectors for proving geometric (or trigonometric) inequalities and consists of only one section, that is, Section 4.1.

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Inequalities for Radiuses,This chapter consists of Sections 6.1 and 6.2. In Section 6.1, selected problems related to the inequalities with radiuses of circles are provided. Perhaps, the most well known among them is the following one. Prove that . ≥ 2., where . and . are the circumradius and inradius of triangle ., respectively.

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Some Applications of Geometric Inequalities,This chapter consists of two sections, that is, Sections 8.1 and 8.2.

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