Code: mk3degrr04hx17-en
ECTS Credit Points: 4
Evaluation: mid-semester grade
Year, Semester: 2nd year, 1st semester
Its prerequisite(s): -
Further courses are built on it: Yes/No
Number of teaching hours/week (lecture + practice): 2+2
Topics:
Descriptive geometry is a branch of geometry in which the three-dimensional figures (spatial objects) are represented on a plane using one of projecting methods and we must solve some geometrical problems of them in the image plane. The consisting positions, intersecting positions, metrical problems will be investigated.
Introduction to the Monge’s method of projecting, projection of the space-elements. Points and lines in the plane. Intersection of a line with the plane. Intersection of two planes. Method of the replacing image-planes (transformation of views). Metric tasks. New views of a polyhedron (using transformation). Intersection of the polyhedrons with lines and planes. Intersection of two polyhedrons. Curved surfaces
Literature:
Compulsory:
- Church, A. E.: Elements of Descriptive Geometry, American Book Company, University of Michigan
- Ledneczky, P.: Descriptive Geometry I., BUTE
- Pare, E. G.,- Loving, R. O. - Hill, I. L. - Pare, R. C.: Descriptive Geometry, Amazon
| 1st week | 8th week |
|---|---|
| Registration week | 1st drawing week |
| 2nd week | 9th week |
| Practice: Axonometry, perspective; Introduction to multiview projection | Practice: Metric tasks I. Determining distances and angles of the objects Distance between two points. Lenght of the line-segment. Distance from a point to a plane. Distance from a point to a line. Angle of inclination of a line to the image-planes. Angle formed by two planes. Perpendicularity |
| 3rd week | 10th week |
| Practice: Introduction to the Monge’s method of projecting Projection of the space-elements (points, lines, segments, planes), Relative position of two straight lines, Special positions of a straight line to image planes, Special positions of the planes to the image planes | Practice: Metric tasks II. Determining distances and angles of the objects Distance between two parallel lines. Distance between two skew lines. Distance between two parallel planes. Angle formed by two lines. |
| 4th week | 11th week |
| Practice: Points and lines in the plane Line in a plane, point in a plane First mainline and second mainline in a plane Point in a first/second projecting plane | Practice: Intersection of the polyhedrons with lines and planes Prisms and pyramids |
| 5th week | 12th week |
| Practice: Intersection of a line with the plane Intersection of a line with the projecting plane Intersection of a line with the plane (in general position). Visibility | Practice: Intersection of two polyhedrons I. Intersection of prisms and pyramids |
| 6th week | 13th week |
| Practice: Intersection of two planes The intersection line of projecting planes The intersection line of planes, if one of them is in projecting position Intersection line of two planes | Practice: Intersection of two polyhedrons II. Intersection of prisms and pyramids |
| 7th week | 14th week |
| Practice: Method of the replacing image-planes (transformation of views) Introduction of new image planes, the method of the replacing of an image plane with a new plane | Practice: Curved surfaces (Cylinders, Cones, Spheres) Intersection of the Curved surfaces with planes. Development of a curved surfaces and intersections, Kochanski's Approximation. |
| 15th week | |
| 2nd drawing week |
Requirements
A, for a signature: Regular attendance (Minimum 70 %). Successful accomplishment of three drawings.
B, for grade: Grades will be a composite of homework (30%), mid-term test (35%), end-term test (35%). The homework will be issued five times in the semester. Minimum requirements to pass the semester: successful accomplishment of the drawings and tests (minimum 50%).