2013Biuletyn Polskiego Towarzystwa Geometrii i Grafiki InżynierskiejRequires access

INVOLUTION IN THE PENCILS OF OSCULATING CONICS p 2 1=2=3, 4 AND SUPER OSCULATING CONICS p 2 1=2=3=4

Barbara Wójtowicz, Ada Pałka

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Abstract

The authors present the results of the further discussion on the properties of the pencils of the osculating and superosculating conics. Two theorems on the involutory pencils of osculating and supersculating conics and the theorem on the involutory range of points of the second order have been shown. Certain properties and construction of the basic elements of conics have been demonstrated.

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What this paper is about

The authors present the results of the further discussion on the properties of the pencils of the osculating and superosculating conics. Two theorems on the involutory pencils of osculating and supersculating conics and the theorem on the involutory range of points of the second order have been shown. Certain properties and construction of the basic elements of conics have been demonstrated.

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Available abstract

The authors present the results of the further discussion on the properties of the pencils of the osculating and superosculating conics. Two theorems on the involutory pencils of osculating and supersculating conics and the theorem on the involutory range of points of the second order have been shown. Certain properties and construction of the basic elements of conics have been demonstrated.

Key concepts: Conic section, Osculating circle, Mathematics, Pure mathematics, Geometry

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INVOLUTION IN THE PENCILS OF OSCULATING CONICS p 2 1=2=3, 4 AND SUPER OSCULATING CONICS p 2 1=2=3=4 — Research Paper | ScholarLens