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
Atslēgas vārdi
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. No: Information Technologies Management and Society: The 18th International Scientific Conference Information Technologies and Management, Latvija, Riga, 22.-23. aprīlis, 2021. Riga: ISMA, 2021, 37.-38.lpp.
Publikācijas valoda
English (en)