## Darstellende Geometrie/3D-Geometry

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• 1 Fundamental Terms of Geometry
• 1.1 Systems of Coordinates
• 1.1.0
Systems of Coordinates
1.1.0
Theory on CD
• 1.1.1
Example: Define Cartesian Coordinates
1.1.1
Example on CD | Worksheet on CD
• 1.1.2
Example: Polar Coordinates
1.1.2
Example (ppsx) | Worksheet (pdf)
• 1.1.3
Example: Cylindrical Coordinates
1.1.3
Example (ppsx) | Worksheet (pdf)
• 1.1.4
Example: Spherical Coordinates
1.1.4
Example (ppsx) | Worksheet (pdf)
• 1.2 Main Solids: Prism, Pyramid, Cone and Cylinder
• 1.2.1
Definition of Prism und Cylinder
1.2.1
Theory on CD | Worksheet (pdf)
• 1.2.2
Definition of Pyramid and Cone
1.2.2
Theory on CD | Worksheet (pdf)
• 1.2.3
Platonic and Archimedic Solids
1.2.3
Theory (ppsx) | Worksheet (pdf)
• 1.2.4
Rotational Surfaces
1.2.4
Theory (ppsx) | Worksheet (pdf)
• 1.2.5
Contour and Apparent Contour
1.2.5
Theory (ppsx) | Worksheet (pdf)
• 1.3 Analyse Objects by Main Solids and Surfaces
• 2 Types of Projections
• 2.1 Types of Projections and Properties
• 2.1.0
Types of Projection
2.1.0
Theory on CD
• 2.1.1
Properties of Parallel Projection
2.1.1
Theory on CD
• 2.1.2
Properties of Central Projection
2.1.2
Theory on CD
• 2.2 Axonometry
• 2.2.0
Axonometric Views
2.2.0
Theory on CD
• 2.2.1
Example: Different Axonometric Views of a Solid
2.2.1
Example on CD | Worksheet on CD
• 2.2.2
Example 1: Axonometric Views
2.2.2
Example (ppsx) | Worksheet (pdf)
• 2.2.3
Example 2: Axonometric Views
2.2.3
Example (ppsx) | Worksheet (pdf)
• 2.3 Principle Views
• 2.3.0
Introduction of Principle Views
2.3.0
Theory on CD
• 2.3.1
Example 1: Axonometric View to Principle Views
2.3.1
Example on CD | Worksheet on CD
• 2.3.2
Example 2: Axonometric View to Principle Views
2.3.2
Example on CD | Worksheet on CD
• 2.3.3
Example 3: Axonometric View to Principle Views
2.3.3
Example on CD | Worksheet on CD
• 2.3.4
Example 4: Principle Views to Axonometric View
2.3.4
Example on CD | Worksheet on CD
• 2.3.5
Example A,B: Completing Principle Views
2.3.5
Example on CD | Worksheet  A-D on CD
2.3.5
Example C,D: Completing Principle Views
2.3.5
Example on CD
2.3.5
Example E,F: Completing Principle Views
2.3.5
Example (ppsx) | Worksheet E-H (pdf)
2.3.5
Example G,H: Completing Principle Views
2.3.5
Example (ppsx)
• 2.3.6
Example A,B: Define Profile View
2.3.6
Example (ppsx) | Worksheet (pdf)
2.3.6
Example C,D: Define Profile View
2.3.6
Example (ppsx)
• 2.3.7
Example A,B: Define Plan View
2.3.7
Example (ppsx) | Worksheet (pdf)
2.3.7
Example C,D: Define Plan View
2.3.7
Example (ppsx)
• 2.4.0
Introduction of an Auxiliary View
2.4.0
Theory on CD
• 3 Spatial Operations
• 3.1 Fundamental Spatial Transformations
• 3.1.0
Fundamental Spatial Transformations
3.1.0
Theory on CD
• 3.1.1
3.1.1
Example a-h on CD | Worksheet a-h on CD | Example i-l (ppsx) | Worksheet i-l (pdf)
• 3.1.2
3.1.2
Example a-h on CD | Worksheet a-h on CD | Example i-k (ppsx) | Worksheet i-k (pdf)
• 3.1.3
Example: Spot Rotation
3.1.3
Example on CD | Worksheet on CD
• 3.2.0
3.2.0
Theory on CD
• 3.3 Boolean Operations
• 3.3.0
Boolean Operations
3.3.0
Theory on CD
• 3.3.1
Example: Boolean Operations
3.3.1
Example on CD | Worksheet on CD
• 3.3.2
Example: Boolean Operations 2
3.3.2
Example (ppsx) | Worksheet (pdf)
• 4 Constructions in Axonometry
• 4.1 Intercept and Intersection Line with an Image Plane
• 4.1.0
Intercept of a Straight Line with an Image Plane
4.1.0
Theory on CD
• 4.1.1
Example A,B,C: Intercepts of Line with Image Planes
4.1.1
Example on CD | Worksheet on CD
4.1.1
Example D,E,F: Intercepts of Line with Image Planes
4.1.1
Example on CD
• 4.1.2
Intersection Lines and Principle Lines of a Plane
4.1.2
Theory on CD
• 4.1.3
Example: Intersection Lines of a Plane with Image Planes
4.1.3
Example on CD | Worksheet on CD
• 4.2 Intersection of Cube and Plane
• 4.2.0
Intercept and Intersection Line
4.2.0
Theory on CD
• 4.2.1
Example 1- A,B,C: Cube Cut By Plane
4.2.1
Example on CD | Worksheet on CD
4.2.1
Example 1- D,E: Cube Cut By Plane
4.2.1
Example on CD
4.2.1
Example 1- F,G,H: Cube Cut By Plane
4.2.1
Example on CD
• 4.2.2
Example 2 - A,B: Cube Cut By Plane
4.2.2
Example on CD | Worksheet on CD
4.2.2
Example 2 - C,D: Cube Cut By Plane
4.2.2
Example on CD
• 4.3 Plain Solid Cut by Plane
• 4.3.1
Example 1: Solid Cut by Plane
4.3.1
Example on CD | Worksheet on CD
• 4.3.2
Example 2: Letter S and Number 2 Cut by Plane
4.3.2
Example on CD | Worksheet on CD
• 4.3.3
Example 3: Solid Cut by Plane
4.3.3
Example on CD | Worksheet on CD
• 4.3.4
Example 4: Technical Solid Cut by Plane
4.3.4
Example on CD | Worksheet on CD
• 4.3.5
Example 5: Letter H and Letter M Cut by Plane
4.3.5
Example on CD | Worksheet on CD
• 4.4 Intersection of Lines and Planes
• 4.4.0
Intercept of a Straight Line with any Plane
4.4.0
Theory on CD
• 4.4.1
Example: Intercept of Straight Line AB with a Plane (scaffold of a Cube)
4.4.1
Example on CD | Worksheet on CD
• 4.4.2
Example: Intersection Line of Two Planes
4.4.2
Example on CD | Worksheet on CD
• 4.4.3
Example: Intersection of Triangle and Parallelogram
4.4.3
Example (ppsx) | Worksheet (pdf)
• 4.4.4
Example: Intersection Line of Two Triangles
4.4.4
Example (ppsx) | Worksheet (pdf)
• 4.5 Intersection of Pyramid and Prism
• 4.5.1
Example: Truncated Pyramid Cut by Prism
4.5.1
Example (ppsx) | Worksheet (pdf)
• 4.5.2
Example: Truncated Hexagonal Pyramid with Cuboid
4.5.2
Example (ppsx) | Worksheet (pdf)
• 5 Constructions in Principle Views
• 5.1 Special Position of a Line and a Plane
• 5.1.0
Principle Lines
5.1.0
Theory on CD
• 5.1.1
Principle Planes
5.1.1
Theory on CD
• 5.1.2
Line Appearing as a Point - Point View of a Line
5.1.2
Theory on CD
• 5.1.3
Plane Appearing as an Edge- Edge View of a Plane
5.1.3
Theory on CD
• 5.1.4
Example: Transfer Points by Coordinates into Principle Views
5.1.4
Example (ppsx) | Worksheet (pdf)
• 5.1.5
Example: Name Special Position of Spatial Lines
5.1.5
Example (ppsx) | Worksheet (pdf)
• 5.1.6
Example: Name Special Position of Planes
5.1.6
Example (ppsx) | Worksheet (pdf)
• 5.2 True Length of a Segment
• 5.2.0
True Length of a Segment - Trapezoid
5.2.0
Theory on CD | Worksheet on CD
5.2.0
True Length of a Segment - Triangle of Difference
5.2.0
Theory on CD
5.2.0
True Length of a Segment - Auxiliary View
5.2.0
Theory on CD
• 5.2.1
Example A,B: True Length of a Segment - Triangle of Difference
5.2.1
Example on CD | Worksheet A,B on CD
5.2.1
Example C,D: True Length of a Segment - Triangle of Difference
5.2.1
Example (ppsx) | Worksheet C,D (pdf)
• 5.2.2
Example A,B: Transfer Distance on a Line
5.2.2
Example on CD | Worksheet A,B on CD
5.2.2
Example C,D: Transfer Distance on a Line
5.2.2
Example (ppsx) | Worksheet C,D (pdf)
• 5.3 Project a Line as a Point and a Plane as an Edge
• 5.3.0
Project a Line as a Point - Two Auxiliary Views
5.3.0
Theory on CD | Worksheet on CD
• 5.3.1
Project a Plane as an Edge - Auxiliary View
5.3.1
Theory on CD | Worksheet on CD
• 5.4 Locating Points in a Plane
• 5.4.0
Locate a Point in a Plane - Auxiliary Line
5.4.0
Theory on CD
• 5.4.1
Example: Locate Points in the Plane ABC
5.4.1
Example on CD | Worksheet on CD
• 5.4.2
Locate a Point in a Plane - Principle Line
5.4.2
Theory on CD
• 5.4.3
Example: Locate Points - Use Principle Lines
5.4.3
Example on CD | Worksheet on CD
• 5.4.4
Example A: Intersection of a Prism and a Plane - Locate Points
5.4.4
Example on CD | Worksheet on CD
5.4.4
Example B: Intersection of a Prism and a Plane - Locate Points
5.4.4
Example on CD
• 5.5 Spatial Position of Lines to Each Other
• 5.5.0
Position of Two Lines to Each Other in Space
5.5.0
Theory on CD | Worksheet on CD
• 5.6 True Size and Shape of Planar Figure
• 5.6.0
Example: True Shape of a Planar Figure - Two Auxiliary Views
5.6.0
Example (ppsx) | Worksheet (pdf)
• 5.6.1
Example: True Shape of a Planar Figure - Auxiliary View and Rotation
5.6.1
Example (ppsx) | Worksheet (pdf)
• 5.6.2
Example: True Shape of Planar Figure - Revolution of a Plane
5.6.2
Example on CD | Worksheet A,B on CD
5.6.2
Example C,D: True Shape of Planar Figure - Revolution of a Plane
5.6.2
Example (ppsx) | Worksheet C,D (pdf)
• 5.6.3
Example A: Equilateral Triangle - Revolution of a Plane
5.6.3
Example on CD | Worksheet A,B on CD
5.6.3
Example B: Square - Revolution of a Plane
5.6.3
Example on CD
5.6.3
Example C: Square - Revolution of a Plane
5.6.3
Example (ppsx) | Worksheet C,D (pdf)
5.6.3
Example D: Equilateral Triangle - Revolution of a Plane
5.6.3
Example (ppsx)
• 5.7 Solid Intersected by Plane
• 5.7.0
Example: Pyramid Intersected by a Plane of Edge View
5.7.0
Example on CD | Worksheet on CD
• 5.8 Intercept of Straight Line with Plane
• 5.8.1
Example: Intercept of Straight Line with Plane -"Cover Line"
5.8.1
Example on CD | Worksheet on CD
• 5.8.2
Example A: Line Intersects a Plane- Edge View Method
5.8.2
Example on CD | Worksheet on CD
5.8.2
Example B: Line Intersects a Plane- Edge View Method
5.8.2
Example on CD
• 5.8.3
Example: Intersection of Prism with Plane- Development
5.8.3
Example (ppsx) | Worksheet (pdf)
• 5.8.4
Example: Intersection of Line with Prism
5.8.4
Example (ppsx) | Worksheet (pdf)
• 5.8.5
Example: Intersection of Line with Pyramid
5.8.5
Example (ppsx) | Worksheet (pdf)
• 5.8.6
Example A: Interception Line of Two Triangles
5.8.6
Example (ppsx) | Worksheet A-D (pdf)
5.8.6
Example B: Interception Line of Two Triangles
5.8.6
Example (ppsx)
5.8.6
Example C: Interception Line of Two Triangles
5.8.6
Example (ppsx)
5.8.6
Example D: Interception Line of Two Triangles
5.8.6
Example (ppsx)
• 5.9 Law of Right Angle
• 5.9.0
Law of Right Angle
5.9.0
Theory on CD
• 5.9.1
Example: Perpendicular Line to a Plane
5.9.1
Example on CD | Worksheet on CD
• 5.9.2
Example A,B: Perpendicular Line to a Triangle
5.9.2
Example on CD | Worksheet A,B on CD
5.9.2
Example C,D: Perpendicular Line -Squared Pyramid
5.9.2
Example (ppsx) | Worksheet C,D (pdf)
• 5.9.3
Perpendicular Plane to a Straight Line
5.9.3
Theory on CD
• 5.9.4
Example: Perpendicular Plane to a Line and its Intercept
5.9.4
Example on CD | Worksheet (pdf)
5.9.4
Example C,D: Perpendicular Plane - Squared Pyramid
5.9.4
Example (ppsx)
• 5.10 Shortest Distance
• 5.10.0
Example: Distance between a Point and a Line - Auxiliary Views
5.10.0
Example on CD | Worksheet on CD
• 5.10.1
Example: Shortest Distance between a Point and a Plane - Intercept
5.10.1
Example on CD | Worksheet on CD
• 5.10.2
Example: Distance between Point and Plane - Auxiliary Views
5.10.2
Example on CD | Worksheet on CD
• 5.11 Development
• 5.11.1
Example: Development of a Truncated Pyramid
5.11.1
Example (ppsx) | Worksheet (pdf)
• 5.11.2
Example A: Truncated Pyramid Cut by Prism
5.11.2
Example (ppsx) | Worksheet (pdf)
5.11.2
Example B: Development of a Truncated Pyramid Cut by Prism
5.11.2
Example (ppsx)
• 6.1 Terms and Properties
• 6.1.0
Shadow of Parallel Projection - Fundamental Terms
6.1.0
Theory on CD
• 6.1.1
Example 1: Shadow of a Cuboid
6.1.1
Example on CD | Worksheet on CD
• 6.1.2
6.1.2
Example on CD | Worksheet on CD
• 6.1.3
6.1.3
Example on CD | Worksheet on CD
• 6.1.4
6.1.4
Example on CD | Worksheet on CD
• 6.1.5
6.1.5
Example on CD | Worksheet on CD
• 6.1.6
Example 6: Shadow of Cuboid and Ramp
6.1.6
Example on CD | Worksheet on CD
• 6.2 Application: Shadow of Buildings
• 6.2.1
Example 1: Shadow of a Building
6.2.1
Example on CD | Worksheet on CD
• 6.2.2
Example 2: Shadow of a Wall and a Ramp
6.2.2
Example on CD | Worksheet on CD
• 6.2.3
Example 3: Shadow of a House with Chimney
6.2.3
Example on CD | Worksheet on CD
• 6.2.4
Example 4: Shadow of a Church
6.2.4
Example on CD | Worksheet on CD
• 6.2.5
Example 5: Shadow of an Entrance with Canopy
6.2.5
Example on CD | Worksheet on CD
• 6.2.6
Example 6: Shadow of a Roof with Dormer
6.2.6
Example on CD | Worksheet on CD
• 6.3 Application: Shadow of Churches
• 6.3.1
Example 1: Shadow of a Church
6.3.1
Example on CD | Worksheet on CD
• 6.3.2
Example 2: Shadow of a Church
6.3.2
Example on CD | Worksheet on CD
• 6.3.3
Example 3: Shadow of a Church
6.3.3
Example on CD | Worksheet on CD
• 6.3.4
Example 4: Shadow of a Church
6.3.4
Example on CD | Worksheet on CD
• 6.3.5
Example 5: Shadow of a Church
6.3.5
Example on CD | Worksheet on CD
• 7 Special (Planar) Curves
• 7.1 Ellipse
• 7.1.0
Definition of an Ellipse - Ellipsoid
7.1.0
Theory on CD | Worksheet on CD
• 7.1.1
Circles of Curvature of an Ellipse
7.1.1
Theory on CD | Worksheet on CD
• 7.1.2
Construction of an Ellipse with a Wrapper and its Reversion
7.1.2
Theory on CD | Worksheet on CD
• 7.1.3
Construction of an Ellipse by de la Hire
7.1.3
Theory on CD
• 7.1.4
Construction of Axes of an Ellipse by Rytz - Conjugate Diameters
7.1.4
Theory on CD | Worksheet on CD
• 7.2 Parabola
• 7.2.0
Definition and Construction of a Parabola
7.2.0
Theory on CD | Worksheet on CD
• 7.3 Hyperbola
• 7.3.0
Definition and Construction of a Hyperbola
7.3.0
Theory on CD | Worksheet on CD
• 7.3.1
Constructions of a Hyperbola with Dividers
7.3.1
Theory on CD | Worksheet on CD
• 7.4 Bezier curves
• 7.4.0
Construction and Parametric Equations of Bezier Curves
7.4.0
Theory on CD | Worksheet A,B on CD | Worksheet C,D (pdf)
• 8 Normal Projection of a Circle and Sphere
• 8.1 Circle in the Plan and Front View
• 8.1.0
Normal Projection of a Circle
8.1.0
Theory on CD
• 8.1.1
Example: Image of a Circle in a Plane of Edge View
8.1.1
Example on CD | Worksheet on CD
• 8.1.2
Example: Circumcircle of a Triangle in a Plane of Edge View
8.1.2
Example on CD | Worksheet on CD
• 8.1.3
Example: Image of a Circle in an Oblique Plane
8.1.3
Example on CD | Worksheet on CD
• 8.1.4
Example: Point Rotates about an Axis (= Principle Line)
8.1.4
Example on CD | Worksheet on CD
• 8.1.5
Example: Point Rotates about an Axis
8.1.5
Example on CD | Worksheet on CD
• 8.1.6
Example: Example: Rotational Cylinder- Third Edge View Circle
8.1.6
Example (ppsx) | Worksheet (pdf)
• 8.2 Axonometric View of Circle
• 8.2.1
Example A: Axonometric Image of a Circle
8.2.1
Example on CD | Worksheet on CD
8.2.1
Example B: Axonometric Image of a Circle
8.2.1
Example on CD
• 8.2.2
Example: Isometric View of Circles
8.2.2
Example on CD
8.2.2
Example: Isometry of Circles
8.2.2
Worksheet on CD
• 8.3 Sphere
• 8.3.1
Sphere- Fundamental Terms
8.3.1
Theory on CD | Worksheet (pdf)
• 8.3.2
Sphere- Properties
8.3.2
Theory on CD | Worksheet (pdf)
• 8.3.3
Sphere and Geography
8.3.3
Theory on CD
• 8.3.4
Tangent Plane of a Sphere
8.3.4
Theory on CD | Worksheet (pdf)
• 8.4 Define Points and Tangent Lines
• 8.4.1
Example: Locate Point on a Sphere
8.4.1
Example on CD | Worksheet on CD
• 8.4.2
Example: Locate Point on a Sphere and Define its Tangent Plane
8.4.2
Example on CD | Worksheet on CD
• 8.5 Sphere Cut by Planes
• 8.5.1
Example: Intersection of a Sphere with a Plane of Edge View
8.5.1
Example on CD | Worksheet on CD
• 8.5.2
Example: Intersection of a Sphere with an Oblique Plane
8.5.2
Example on CD | Worksheet on CD
• 8.5.3
Example A: Sphere Cut by Planes of Edge View
8.5.3
Example on CD | Worksheet A on CD
8.5.3
Example B: Sphere Cut by Planes of Edge View
8.5.3
Example (ppsx) | Worksheet B (pdf)
• 8.5.4
Example: Intercepts of Line with Sphere
8.5.4
Example on CD | Worksheet on CD
• 8.5.5
Example: Dome of Sphere- Third Edge View of Circle
8.5.5
Example (ppsx) | Worksheet (pdf)
• 8.5.6
Example: Snowman- Third Edge View of Circle
8.5.6
Example (ppsx) | Worksheet (pdf)
• 8.5.7
Example: Top Hat- Third Edge View of Circle
8.5.7
Example (ppsx) | Worksheet (pdf)
• 8.6 Sphere defined by
• 8.6.1
Example: Sphere Given by Midpoint and Tangent Plane
8.6.1
Example on CD | Worksheet on CD
• 8.6.2
Example: Sphere Defined by Midpoint and Tangent Line
8.6.2
Example on CD | Worksheet on CD
• 8.6.3
Example: Sphere Defined by Three Points on a Great Circle
8.6.3
Example on CD | Worksheet on CD
• 8.6.4
Example: Sphere Defined by 3 Points on a Small Circle and Radius
8.6.4
Example on CD | Worksheet on CD
• 8.6.5
Example: Sphere Defined by Point and its Tangent Plane
8.6.5
Example on CD | Worksheet on CD
• 9 Intersection of a Cylinder
• 9.1 Cylinder Cut by Plane
• 9.1.0
Intersection of a Cylinder with a Plane
9.1.0
Theory on CD
• 9.1.1
Example A: Cylinder Cut by Plane - Points, Tangent Lines
9.1.1
Example on CD | Worksheet on CD
9.1.1
Example B: Cylinder Cut by Plane - Axes Direct
9.1.1
Example on CD
9.1.1
Example C: Cylinder Cut by Plane - Rytz
9.1.1
Example on CD
• 9.1.2
Example: Intersection of Line with Cylinder
9.1.2
Example (ppsx) | Worksheet (pdf)
• 9.1.3
Example: Intersection of Cylinder with Plane- Development
9.1.3
Example (ppsx) | Worksheet (pdf)
• 9.2 Application: Cylinder Cut by Prism - Axonometry
• 9.2.1
Example: Intersection of a Circular Cylinder with a Prism
9.2.1
Example on CD | Worksheet on CD
• 9.2.2
Example: Entrance of Hall 1
9.2.2
Example on CD | Worksheet on CD
• 9.2.3
Example: Intersection of a Chimney with Roof Faces
9.2.3
Example on CD | Worksheet on CD
• 9.2.4
Example: Entrance of Hall 2
9.2.4
Example on CD | Worksheet on CD
• 9.3 Intersection of Two Circular Cylinders - Axonometry
• 9.3.0
Intersection Curves of Two Cylinders
9.3.0
Theory on CD
• 9.3.1
Example A: Cylinders with the Same Tangential Plane
9.3.1
Example on CD | Worksheet on CD
9.3.1
Example B: Cylinder Cut by Part of a Second Cylinder
9.3.1
Example on CD
• 9.3.2
Example A: Cylinder Drilled by Smaller Cylinder
9.3.2
Example on CD | Worksheet (pdf)
9.3.2
Example B: Cylinder Cut by Cylinder- Locomotive
9.3.2
Example (ppsx)
• 9.3.3
Example A: Cross Vault
9.3.3
Example on CD | Worksheet on CD
9.3.3
Example B: Ellipses as Intersection Curves of Two Cylinders
9.3.3
Example on CD
• 9.3.4
Example: Pipe Connection - Auxiliary Sphere
9.3.4
Example (ppsx) | Worksheet (pdf)
• 9.4 Principle Views : Cylinder Cut by Prism
• 9.4.1
Example: Intersection of a Circular Cylinder with a Prism
9.4.1
Example on CD | Worksheet on CD
• 10 Intersection Curves of Circular Cone with a Plane
• 10.1 Intersection Curves of a Circular Cone
• 10.1.0
Circular Cone Intersected by Plane
10.1.0
Theory on CD | Worksheet (pdf)
• 10.1.1
Example: Basic Constructions of a Cone - Locate Point
10.1.1
Example on CD | Worksheet on CD
• 10.1.2
Construction of Outline Points of Rotational Cone
10.1.2
Theory (ppsx) | Worksheet (pdf)
• 10.1.3
Example A,B: Rotational Cone- Basement Shows Edge View
10.1.3
Example (ppsx) | Worksheet A,B (pdf)
• 10.1.4
Example: Cup- Truncated Cone with Circles of Third Edge View
10.1.4
Example (ppsx) | Worksheet (pdf)
• 10.1.5
Example: Ice Cream- Circles Shows Second Edge View
10.1.5
Example (ppsx) | Worksheet (pdf)
• 10.2 Ellipse as a Curve on a Circular Cone
• 10.2.1
Example A: Cone Intersected by Planes - Ellipses
10.2.1
Example on CD | Worksheet on CD
10.2.1
Example B: Cone Intersected by Planes - Ellipses
10.2.1
Example on CD
• 10.3 Hyperbola as a Curve on a Circular Cone
• 10.3.1
Example: Cone Intersected by a Plane - Hyperbola
10.3.1
Example on CD
10.3.1
Example: Cone Intersected by a Plane - Hyperbola
10.3.1
Worksheet on CD
• 10.4 Parabola as a Curve on a Circular Cone
• 10.4.1
Example A: Cone Intersected by Planes - Parabolas
10.4.1
Example on CD | Worksheet on CD
10.4.1
Example B: Cone Intersected by Planes - Parabolas
10.4.1
Example on CD
• 11 Helix and Helical Surfaces
• 11.1 Helical Motion
• 11.1.0
Helical Motion and Helix
11.1.0
Theory on CD | Worksheet (pdf)
• 11.1.1
Special Helical Surfaces
11.1.1
Theory (ppsx)| Worksheet (pdf)
• 11.1.2
Developable Helical Surfaces- Evolvent- Evolute
11.1.2
Theory (ppsx)
• 11.2 Helix and Helical Surfaces in Principle Views
• 11.2.1
Example A: Right-handed Helix
11.2.1
Example on CD | Worksheet (pdf)
11.2.1
Example B: Right-handed Helical Surface
11.2.1
Example (ppsx)
• 11.2.2
Example: Left-handed Helical Surface of a Square
11.2.2
Example on CD | Worksheet on CD
• 11.2.3
Example: Helical Surfaces of Helical Tangent Line
11.2.3
Example (ppsx) | Worksheet (pdf)
• 11.3 Helix and Helical Surface in Axonometric View
• 11.3.1
Example: Axonometric View of a Right-handed Helical Surface
11.3.1
Example on CD | Worksheet on CD
• 11.4 Application of Helical Surfaces
• 11.4.1
Example: Object Analysis- Candle Stick
11.4.1
Example (ppsx) | Worksheet (pdf)
• 11.4.2
Example: Object Analysis- Bicycle Rack 1
11.4.2
Example (ppsx) | Worksheet (pdf)
• 11.4.3
Example: Object Analysis- Bicycle Rack 2
11.4.3
Example (ppsx) | Worksheet (pdf)
• 11.4.4
Example: Object Analysis- Vase
11.4.4
Example (ppsx) | Worksheet (pdf)
• 12 Central Projection
• 12.1 Fundamental Terms
• 12.1.0
Fundamental Terms of Central Projection
12.1.0
Theory on CD | Worksheet (pdf)
• 12.2 Bisection and Duplication
• 12.2.0
Bisection and Duplication of Segments
12.2.0
Theory on CD
• 12.2.1
Example 1: Bisection- Part of a Cube
12.2.1
Example on CD | Worksheet on CD
• 12.2.2
Example 2: Bisection- Part of a Cube
12.2.2
Example on CD | Worksheet on CD
• 12.2.3
Example 3: Duplication- Part of a Cube
12.2.3
Example on CD | Worksheet on CD
• 12.2.4
Example 4: Duplication- Part of a Cube
12.2.4
Example on CD | Worksheet on CD
• 12.2.5
Example: Reflection of a Solid about a Plane
12.2.5
Example on CD | Worksheet on CD
• 12.2.6
Example: Rotation (90°) of a Solid about an Axis
12.2.6
Example on CD | Worksheet on CD
• 12.2.7
Example 2: Bisection- Part of a Cube
12.2.7
Example (ppsx) | Worksheet (pdf)
• 12.2.8
Example: Octahedron by Bisection
12.2.8
Example (ppsx) | Worksheet (pdf)
• 12.2.9
Example: Duplication- Regular Hexagonal Prism
12.2.9
Example (ppsx) | Worksheet (pdf)
• 12.2.10
Example: Duplication and Bisection- Church
12.2.10
Example (ppsx) | Worksheet (pdf)
• 12.3 Perspective View by Plan and Front View
• 12.3.0
Perspective View - Using Plan and Front View
12.3.0
Theory on CD
• 12.3.1
Example: Cuboid
12.3.1
Example on CD | Worksheet on CD
• 12.3.2
Example: House
12.3.2
Example on CD | Worksheet on CD
• 12.3.3
Example: Tent
12.3.3
Example on CD | Worksheet on CD
• 12.3.4
Example: Obelisk
12.3.4
Example on CD | Worksheet on CD
• 12.3.5
Example: House with Bay
12.3.5
Example on CD | Worksheet on CD
• 12.3.6
Example: Corner House
12.3.6
Example on CD | Worksheet on CD
• 12.4 Perspective View by Plan View and Intercept with Image Plane
• 12.4.0
Perspective View: Plan View and Intercept with Image Plane
12.4.0
Theory on CD
• 12.4.1
Example: Cuboid
12.4.1
Example on CD | Worksheet on CD
• 12.4.2
Example: House with a Tent Roof
12.4.2
Example on CD | Worksheet on CD
• 12.4.3
Example: House with Saddleback Roof 1
12.4.3
Example on CD | Worksheet on CD
• 12.4.4
Example: House with Saddleback Roof 2
12.4.4
Example on CD | Worksheet on CD
• 12.4.5
Example: House with Dormer
12.4.5
Example on CD | Worksheet on CD
• 12.4.6
Example: Corner House
12.4.6
Example on CD | Worksheet on CD
• 12.4.7
Example: House with Bay
12.4.7
Example on CD | Worksheet on CD
• 12.4.8
Example: Bus Stop
12.4.8
Example on CD | Worksheet on CD
• 12.4.9
Example: Church
12.4.9
Example on CD | Worksheet on CD
• 12.4.10
Example: Church 2
12.4.10
Example (ppsx) | Worksheet (pdf)