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TABLE OF CONTENS

INTRODUCTION 6
CONVENTIONAL DENOTATION 7
MATHEMATICAL SIGNS 8
1 DESCRIPTIVE GEOMETRY 9
1.1 THE SUBJECT OF DESCRIPTIVE GEOMETRY 9
1.2 TYPES OF PROJECTION 9
1.3 PROPERTIES OF PARALLEL PROJECTION 10
1.4 THE TWO-SHEET METHOD OF MONGE 11
1.5 QUADRANTS OF SPACE 13
2 POINT INTO SYSTEM OF 3 COORDINATE PLANES 14
2.1 OCTANTS OF SPACE 14
2.2 PRINCIPAL PROJECTIONS 17
3 STRAIGHT LINES INTO SYSTEM OF COORDINATE PLANES 18
3.1 LOCATION OF THE LINE 18
3.2 POSITION CLASSIFICATION 18
3.3 POINT ON A LINE 20
3.4 RELATIVE POSITION OF TWO LINES 21
3.5 THE TRACES OF A LINE (PIERCING POINTS) 22
3.6 TRUE-LENGTH OF LINE SEGMENT 23
3.7 RIGHT ANGLE DISPLAYING 24
4 PLANE INTO SYSTEM OF COORDINATE PLANES 25
4.1 REPRESENTATION OF THE PLANE 25
4.2 TRACES OF THE PLANE 25
4.3 POSITION CLASSIFICATION 26
4.4 POINT AND STRAIGHT LINE IN A PLANE 28
4.5 THE PRINCIPAL LINES OF A PLANE 30
4.6 PARALLEL RELATION BETWEEN LINES AND PLANES 31
4.7 PARALLEL PLANES 32
4.8 INTERSECTING PLANES 32
4.9 THE INTERSECTION OF A LINE AND A PLANE 34
4.10 DETERMINING THE VISIBILITY OF LINES ON THE
PROJECTIONS 35
4.11 THE INTERSECTION OF TWO LIMITED PLANES 36
4.12 A LINE PERPENDICULAR TO THE PLANE 37
4.13 THE SHORTEST DISTANCE FROM A POINT TO A PLANE 39
4.14 MUTUALLY PERPENDICULAR PLANE 41
5 CONVERSION OF PROJECTION 43
5.1 CHANGE OF PROJECTION PLANES 43
5.2 CHANGE OF PROJECTION PLANES (SECONDARY PLANES OF
PROJECTION) 43
5.3 PRINCIPLES OF SECONDARY PROJECTIONS 44
5.4 THE METHOD OF ROTATION 46
5.5 ROTATION ABOUT THE PRINCIPAL LINES OF A PLANE 49
5.6 METHOD OF SUPERPOSITION 50
6 SURFACES AND SOLIDS 52
6.1 POLYHEDRONS 52
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