Electronic Resource
The Improving Mathematics Education in School (TIMES) Project CIRCLE GEOMETRY
Circle
Lines and circles are the most elementary figures of geometry – a line is the locus of a point moving in a constant direction, and a circle is the locus of a point moving at a constant distance from some fixed point – and all our constructions are done by drawing lines with a straight edge and circles with compasses. Tangents are introduced in this module, and later tangents become the basis of differentiation in calculus.
The theorems of circle geometry are not intuitively obvious to the student, in fact most people are quite surprised by the results when they first see them. They clearly need to be proven carefully, and the cleverness of the methods of proof developed in earlier modules is clearly displayed in this module.
The theoretical importance of circles is reflected in the amazing number and variety of situations in science where circles are used to model physical phenomena. Circles are the first approximation to the orbits of planets and of their moons, to the movement of electrons in an atom, to the motion of a vehicle around a curve in the road, and to the shapes of cyclones and galaxies
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