Descriptive Geometry 1
Year 2014-2015
st
1 (fall) semester
2nd
DRAWING
Tint-drawing, size A2
Deadline for delivery: Nov. 4
Titles:
INTERSECTION OF POLYHEDRON AND PLANE; CONSTRUCTION OF
SHADOWS; TRANSVERSAL; INTERSECTION OF TWO POLYHEDRA
1)
The base of a polyhedron is a
a) regular pentagon
b) regular hexagon, the solid is an
a) oblique prism
b) a regular pyramid intersect by a rectangle lying in a
a) slanting
b) spanned plane. The sides of the rectangle are
a) first principal and first gradient lines
b) second principal and second gradient lines.
Construct the polygon of intersection, all shadows and shades, show the visibility.
2)
Construct the lateral surface of a pyramid with the apex down. Find all shadows and
shades at a proper direction of lighting, show the visibility. (Projected shadow is
recommended to be constructed by means of shadow-coinciding points.)
3)
Let a straight line in general position and a relatively skew line of non-general position
be given. The second one is a
a) first principal line
b) second principal line
c) profile line
d) first projecting line
e) second projecting line
f) third projecting line.
Construct the transversal of the pair of skew lines
a) passing through a given point P
b) parallel to a given direction i
and the true length of the transversal segment.
4)
Construct the intersection of two polyhedrons. One of them is a regular prism with
minimum quadrilateral base and horizontal lateral edges, the other one is a
a) pyramid with regular hexagon base
b) pyramid with regular pentagon base
c) oblique prism with square base
d) oblique prism with regular pentagon base
standing on the first image plane. Construct
a) partial intersection
b) complete interpenetration.
Show the visibility of polyhedron standing on the first image plane such that the
horizontal prism and the common part were removed.
5)
Construct a polyhedron with
a) square
b) regular pentagon
c) regular hexagon base that is a
a) regular pyramid
b) regular prism
defined by the axis t and one of the vertices of the base A. The height of the solid is 5
cm. (Do not use auxiliary projections.)
Oct. 6, 2014, Budapest
dr. Pál Ledneczki
associate professor
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