Faculty of Civil Engineering, University of Zagreb
Undergraduate programme, winter semester
Descriptive geometry




Under construction!



Lectures and exercises are held according to the TIMETABLE.



WEEK

METHOD OF TEACHING

TOPIC

SET LEARNING STEPS
1st
lecture Extended Euclidean plane. 2nd degree curves.  
exercise (auditory) Construction of the 2nd degree curves (ellipse, hyperbola, parabola). test questions
exercise (constructive) Construction of the 2nd degree curves. templates for exercises
2nd
lecture Perspective collineation and affine transformation.  
exercise (auditory) Perspective collineation and affine transformation. test questions
exercise (constructive) Solving practice tasks. 1st examination.  
3rd
lecture Extended Euclidean space. Basic geometrical relationships.
Introduction to the Monge's method of projections.
Point. Straight line. Line segment.
test questions
exercise (auditory) Point, line segment, straight line, actual size. homework
exercise (constructive) Solving practice tasks. practice tasks
additional tasks
4th
lecture Polyhedra (prisms, pyramids, Platonic solids).
Curved solids (cones, cylinders, spheres).

Orthogonal projection of a solid with a base in the plane of projection. Profile view.
test questions
exercise (auditory) Orthogonal projection of a solid with a base in the plane of projection. homework
exercise (constructive) Solving practice tasks. practice tasks
5th
lecture Plane. Straight line and point in a plane. Two planes. test questions
exercise (auditory) Plane. Straight line and point in a plane. Two planes. homework
exercise (constructive) Solving practice tasks. 2nd examination. practice tasks
6th
lecture Point of intersection of a line and a plane. Orthogonality. test questions
exercise (auditory) Point of intersection of a line and a plane. Orthogonality. homework
exercise (constructive) Solving practice tasks. practice tasks 1, 2
7th
lecture Orthogonal projection of plane figures. Revolution. test questions
exercise (auditory) Orthogonal projection of plane figures. Revolution. homework
exercise (constructive) Solving practice tasks. 1st assignment. practice tasks 1, 2
8th
lecture 1st exam (midterm exam)  
exercise (auditory) Orthogonal projection of solids in arbitrary position. tangent of an ellipse
exercise (constructive) Construction of the 1st assignment. tasks for the 1st assignment
9th
lecture Axonometry. test questions
exercise (auditory) Introduction to Rhinoceros 4.0  
exercise (constructive) Construction of the 1st assignment. 2nd assignment. 1st assignment-models
tasks for the 2nd assignment
10th
lecture Solid modelling supported by Rhino 4.0.
Surfaces.
test questions
exercise (auditory) Axonometry projection of a joint of two wooden beams (Rhino).
exercise (constructive) Construction of the 2nd assignment. 3rd assignment 2nd assignment-additional tasks
tasks for the 3rd assignment
11th
lecture Plane intersections of 2nd order cones, 2nd order cylinders and spheres.
Surfaces of revolution.
test questions
preparation tasks for midterm exam
exercise (auditory) Plane intersections of surfaces (Rhino).  
exercise (constructive) Construction of the 3rd assignment. 4th assignment 3rd assignment-additional tasks
12th
lecture Space curves. Intersection curves from cones, cylinders and spheres.
Shells, domes and vaults
test questions
preparation tasks for midterm exam
exercise (auditory) Intersections of surfaces (Rhino). Groin vault. tasks for the 4th assignment
exercise (constructive) Construction of the 4th assignment. 5th assignment.  
13th
lecture Elevated projection. Application of the elevated projection on roads. Ideal terrain. test questions
homework
(examples for exam)
exercise (auditory) Ideal terrain - horizontal road (Rhino). tasks for 5th assignment
exercise (constructive) Construction of the 5th assignment. 6th assignment.  
14th
lecture Ideal terrain - straight inclined road. Topographic surfaces.

exercise (auditory) Roads on terrain.(Rhino). tasks for 6th assignment
exercise (constructive) Construction of the 6th assignment.  
15th
lecture 2nd exam (midterm exam)  
exercise (auditory) Analysis of the achieved results.  
exercise (constructive) Correction of the assignments and exams.