Straightedge and Compass: Constructions of Arithmetic Operations with Function Values by means of Elementary Geometry

Information Technologies Management and Society: The 18th International Scientific Conference Information Technologies and Management 2021
Aleksandrs Kovancovs, Agata Kuzņecova, Klara Kuzņecova

The thesis offers a new outlook on the traditional arithmetic operations by graphically depicting addition, subtraction, multiplication, division, extraction of roots and exponentiation of functional values, applying the properties of elementary geometry and using compass and ruler without gridlines as instruments in the process of construction. Newly developed methods of geometric transformations or proofs of the impossibility of certain constructions as the result of research work broaden the perception of the arithmetic operations, showcase the bond between algebra and geometry [3][9], reflect on the progress made in the development of the mathematics, highlight the importance of geometric properties, and encourage future research regarding the graphic depiction of arithmetic operations

Keywords
arithmetic operations with functions, geometry, unit segment, compass and ruler construction

Kovancovs, A., Kuzņecova, A., Kuzņecova, K. Straightedge and Compass: Constructions of Arithmetic Operations with Function Values by means of Elementary Geometry. In: Information Technologies Management and Society: The 18th International Scientific Conference Information Technologies and Management, Latvia, Riga, 22-23 April, 2021. Riga: ISMA, 2021, pp.37-38.

Publication language
English (en)