Descriptive geometry

obligatory courses

(in Polish) Student powinien posiadać podstawową wiedzę z:

- geometrii rzutowej,

- geometrii euklidesowej.

The projection with elevations: projection of points, lines, planes, analysis of mutual relations of geometric figures in space and flat projection – conditions of parallelism and perpendicularity and measurement issues –true length and angles.

Presentation of the parameters of geological structural surface on a map: selection of scale in geological works, apparent and true dips of structural surfaces.

Geometrical analysis of basic geological structures: monoclines, synclines, anticlines and faults. Monge‘s projections.

Exercises include:

Introduction to the marking projection: principle of determining the projection of the point, marking of the line, modulus and inclination of the line, image of the plane in the projection with elevations – 4 hours.

The line of intersection of planes, revolution of a plane perpendicular to the projective plane, piercing point of the plane by a line – 2 hours.

Perpendicularity of a line and plane as well as two planes – 1 hour.

Revolution of a plane inclined to the projective plane against the contour line of plane – 1 hour.

Measurement issues on a plane inclined to the projective plane – 2 hours.

Measurement structures. Determination of true lengths and angles in the projection with elevations – 4 hours.

Determination of contour lines of plane of structural surfaces on maps:

- based on drilling results

- based on measurements of strike and dip – 2 hours.

Intersections of a geological layer with the surface of the terrain, edges of intersection of structural geological surfaces, principles of performing geological cross-section – 4 hours.

Determination of measurement (angles and lines-true length) parameters of geological structures.

Determination of true dips of geological layers based on measurements on walls of geological outcrops (quarry) – 2 hours.

Geometrical charactaristic of basic geological structures: monoclines, anticlines and synclines – 6 hours.

Geometrical characteristic of monocline intersected by a fault – 2 hours.

After the course a student:

draws basic elements of space on a plane in the projection with elevations,

analyses mutual relations of geometrical elements in space and in flat projection – perpendicularity and parallelism,

determines measurement structures: angles and true length,

presents parameters of geological structural surface on a map,

determines true strike and dip on the basis of the results of drilling,

determines true strike and dip on the basis of measurements conducted on walls of geological outcrops,

determines true thickness of a layer on the basis of the results of drilling,

uses the principles of geological intersection,

analyses the geological structure on the basis of an intersection map as well as morphological and geological cross-section.

Obtaining a sufficient number of points from quizes and two big tests.

Proper performance of two drawing works.