Книга: Брацихин А. А., Шпак М. А. «Descriptive Geometry: course of lectures»
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Course lectures is generated according to the requirements of Federal State Standard for Higher Education for Bachelor’s Degree students. Содержание:LECTURE 1. PRINCIPLE CONSIDERATION...... 4 1. 1. Descriptive geometry defined...... 4 1. 2. Methods of projection...... 4 1. 3. Correspondence...... 6 1. 4. The point in space...... 8 Control test...... 10 LECTURE 2. LINE PROJECTIONS...... 11 2. 1. Line projecting on the three projection planes...... 11 2. 2. Position of a line to the planes of projection...... 12 2. 3. Traces of a line...... 16 2. 4. True length of line definition...... 17 2. 5. Position of lines in space...... 19 2. 6. Competing points of skew lines...... 21 2. 7. Right-angle projection...... 21 Control test...... 22 LECTURE 3. PLANE PROJECTIONS...... 23 3. 1. Methods of a plane determination...... 23 3. 2. Plane traces...... 24 3. 3. Points and lines are contained in plane...... 25 3. 4. Position of a plane to the coordinate planes...... 26 3. 5. The principle lines of a plane...... 28 3. 6. Intersecting planes...... 29 3. 7. The line and plane...... 31 3. 8. The line is parallel to plane...... 33 3. 9. The line and plane are perpendicular...... 34 3. 10. The planes are parallel...... 35 3. 11. The planes are perpendicular...... 36 Control test...... 38 LECTURE 4. DRAWINGS TRANSFORMATION...... 39 4. 1. The main problems of drawings transformation...... 39 4. 2. Change of the projection plane...... 39 4. 3. Methods of rotation...... 43 4. 3. 1. Rabbatement...... 46 4. 3. 2. Rotation around plane traces (or coinciding method)...... 47 Control test...... 48 LECTURE 5. PLANE SURFACES (POLYHEDRONS)...... 49 5. 1. Prism and prismoid...... 49 5. 2. Pyramid...... 50 5. 3. Intersecting polyhedron and plane...... 51 5. 4. Intersecting polyhedron and line...... 52 5. 5. Intersecting of two polyhedrons...... 53 Control test...... 54 LECTURE 6. DEVELOPMENT OF POLYHEDRONS...... 55 6. 1. Development by right section determination...... 55 6. 2. Method of flattening...... 57 6. 3. Development by triangulation...... 58 Control test...... 58 TASKS FOR SELF-STUDY...... 59 GLOSSARY...... 70 LIST OF RECOMMENDED TEXTBOOKS...... 72 Издательство: "СКФУ" (2014)
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