Descriptive Geometry CH17 : DEVELOPMENTS - RADIAL

Radial Line Developments

… Are used to develop PYRAMIDS & CONES.

Radial Line Developments- Pyramid

To develop the surfaces of a pyramid: 1. The pyramid may be broken into its True Size triangular surfaces. 2. These triangles are assembled by using the TL of each of their sides.

Parallel Line Developments - Pyramid 1. Evaluate the problem to

TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line

(at any angle) 2) Locate other points

in relation to the two starting points

3) Continue this process until all surfaces are drawn

Parallel Line Developments - Pyramid 1. Evaluate the problem to

TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line

(at any angle) 2) Locate other points

in relation to the two starting points

3) Continue this process until all surfaces are drawn

Parallel Line Developments - Pyramid 1. Evaluate the problem to

TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line

(at any angle) 2) Locate other points

in relation to the two starting points

3) Continue this process until all surfaces are drawn

Parallel Line Developments - Pyramid 1. Evaluate the problem to

TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line

(at any angle) 2) Locate other points

in relation to the two starting points

3) Continue this process until all surfaces are drawn

Parallel Line Developments - Pyramid

3) Continue this process until all surfaces are drawn

Parallel Line Developments - Pyramid

3) Continue this process until all surfaces are drawn

Radial Line Developments Truncated Pyramid

To develop the surfaces of a truncated pyramid: 1. If the vertex of the pyramid is accessible, develop the whole pyramid

first. 2. The pyramid may be broken into its True Size triangular surfaces. 3. These triangles are assembled by using the TL of each of their sides. 4. Eliminate the portion containing the vertex.

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Radial Line Developments Truncated Pyramid

1. Evaluate the problem to TL views of lines & lines of symmetry.

2. Construct views as necessary to show TL of each line of each triangular surface.

3. Assemble the TL lines as a development… 1) Start with one line (at

any angle) 2) Locate other points in

relation to the two starting points

4. Measure the TL of the truncation from the vertex & adjust development lines

Problem 2 • Draw the given views and complete the development.