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Anotace knihy

According to classification of Cayley-Klein, EP Geometry is one of the nine two-dimensional geometries, i.e. geometry which is dual to the classical Euclidean (PE) geometry. The first chapter contains a system of axioms of this geometry, not the Hilbert's system and principle of duality. Fundamental objects (points and straight lines) and fundamental relations (of incidence, separateness of point couples and of line segment congruence) are defined by four groups of axioms (axioms of incidence, order, continuity and congruence). Based on the proposed system of axioms, some important consequences are proved, and some more important geometric figures and their features are defined. The second chapter is about central and axial symmetry of EP plane. The third one defines transformation of congruence and its basic characteristics. Also, the relation of figure congruence is defined. Theorems are proved about the provision according to which congruence of certain geometric figures (angle, triangle, monogon) is defined. The end of the book is dedicated to the proof of logical non-contradiction of a given axiom system, through a projective model.

Parametry knihy

Zařazení knihy Knihy v angličtině Children's, Teenage & educational Educational material Educational: English language & literacy

• Plný název: Red Rocket Readers
• Podnázev: Early Level 3 Fiction Set B: Time for a Swim
• Autor: Pam Holden
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 16
• EAN: 9781877419645
• ISBN: 1877419648
• ID: 09295314
• Nakladatelství: Flying Start Books Ltd
• Hmotnost: 42 g
• Rozměry: 149 × 200 × 2 mm
• Datum vydání: 12. May 2006

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