Steps are given to find the normal and tangent for a cycloid. Arrange the steps if C is the centre for generating circle and PA is the directing line. N is the point on cycloid. i. Through M, draw a line MO perpendicular to the directing line PA and cutting at O. ii. With centre N and radius equal to radius of generating circle, draw an arc cutting locus of C at M. iii. Draw a perpendicular to ON at N which is tangent. iv. Draw a line joining O 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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