Classes 10.12.2008

REVOLUTION, ROTATION

1.

Projections of segment AB are given. Determine length of segment with using

construction of revolution. Solve task in two variants

– with axis of revolution

perpendicular to horizontal projection plane and with axis of revolution perpendicular
to vertical projection plane.

2.

Projections of triangle ABC are given. Plane of triangle is perpendicular to vertical

projection plane. Determine true size of triangle with using construction of revolution.

3.

Projections of quadrangle ABCD are given. Plane of quadrangle is perpendicular to

horizontal projection plane. Determine true size of quadrangle with using construction
of revolution.

4.

Construct projections and development of right pyramid ABCDW. The base of

pyramid is a square ABCD which belongs to plane



. Plane of square is perpendicular

to horizontal projection plane. Projections of one side of square, section AB are
given. The length of height of pyramid is 8 cm.

5.

Projections of pyramid ABCDW are given. Construct projections and development of

truncated by plane



pyramid. Plane



is perpendicular to one of pyramid’s side’s

edges, point Q which projections are given,

belongs to one of pyramid’s walls and to

plane.

6.

Construct projections and development of right pyramid ABCD. The base of pyramid,

triangle ABC belongs to plane



. Plane



is perpendicular to vertical projection plane.

The angle between plane



and horizontal projection plane is 30

o

. Horizontal

projection of one side of triangle ABC, section AB is given and vertical projection of
point A (vertex of triangle ABC) is given too. The length of height of pyramid is 8 cm.