Steps are given to find the normal and tangent to an epicycloid. Arrange the steps if C is the centre for generating circle and O is the centre of directing cycle. N is the point on epicycloid. i. Draw a line through O and D cutting directing circle at M. ii. Draw perpendicular to MN at N. We get tangent. iii. With centre N and radius equal to radius of generating circle, draw an arc cutting the locus of C at D. iv. Draw a line joining M and N which is normal.

Geometrical Construction topics include: Parallel & perpendicular lines construction, drawing regular polygons and tangents, ellipse construction, parabola and hyperbola construction, cycloidal curves and spiral construction. Geometric construction is the process of creating geometric objects using a compass and a straightedge. It is a part of pure geometry, which does not use numbers, formulae, or a coordinate system.  Geometric construction involves drawing lines, line segments, shapes, circles, and other figures accurately using a ruler, a compass, or a protractor.  Related... Show more

Geometrical Construction topics include: Parallel & perpendicular lines construction, drawing regular polygons and tangents, ellipse construction, parabola and hyperbola construction, cycloidal curves and spiral construction.

Geometric construction is the process of creating geometric objects using a compass and a straightedge. It is a part of pure geometry, which does not use numbers, formulae, or a coordinate system. 
Geometric construction involves drawing lines, line segments, shapes, circles, and other figures accurately using a ruler, a compass, or a protractor. 

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