Trends in education, 2014 (vol. 7), issue 1

TVV 2014, 7(1):58-61

GEOMETRICAL CURVES IN THE PLANE

HODAŇOVÁ Jitka, NOCAR David
Katedra matematiky, Pedagogická fakulta UP, Žižkovo nám. 5, 771 40 Olomouc, ČR

Geometry is one of the most significant disciplines in mathematics. The historical development of geometry is connected with progress of knowledge and with human society culture development. The first geometrical thinking we can find in Chaldean and Egyptian empires. The development of Greek culture influenced geometry and mathematics. Greek mathematicians studied plane geometry, solid geometry, spherical trigonometry, optics and we can also find there perspective origins and they studied fields and curves. The geometry development influenced other disciplines - astronomy, physics and other technical disciplines. The technical practice like building required to display three-dimensional objects in that way, that builders could read the shape and dimension of an object from drawings (see well-kept historical monuments). The plane curve studies have their origin in ancient world. Their names like Diokles´ kissoide, Archimedes´ spiral, Perseus´ curve show, that mathematicians developed the curves in ancient world.

Keywords: plane curves, kinematic geometry, technical practice

Published: July 1, 2014  Show citation

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HODAŇOVÁ, J., & NOCAR, D. (2014). GEOMETRICAL CURVES IN THE PLANE. Trends in education7(1), 58-61
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References

  1. HARANT, M., LANTA, O. Deskriptivní geometrie. Praha: SPN, 1965.
  2. JALŮVKA, V. Deskriptivní geometrie. Praha: SPN, 1961.
  3. MEDEK, V., ŠEDIVÝ, O. Deskriptivní geometrie pro gymnázia. Praha: SPN, 1987.
  4. POMYKALOVÁ, E. Matematika pro gymnázia - stereometrie. Praha: Prométheus, 1995. ISBN 80-7196-178-7.

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