TRANSFERRING ANGLES

It is often necessary in sheet metal layout to construct an angle that equals a given angle.

Given:

Solution:

Step 1. From B, draw an are with a convenient radius which intersects AB and CB at points X and Y.

Step 2. Using the same radius, draw an are from M intersecting MN at point 0.

Step 3. With X as center, set the compass to a radius which will pass an are through Y.

Step 4. Using this radius (Step 3) and 0 as center, draw an are that will intersect the are drawn from M in Step 2 at point P.

PERPENDICULARS LINES

Lines are said to be perpendicular when they form a right angle (90).

A perpendicular may be drawn to a line in several ways.

1. Using an object which has a right angle, such as a drawing triangle.

2. Using a compass from a point on a line.

Example:

Construct a perpendicular to AB at point C.

Solution:

Step 1. Draw an arc from C as a center, using any convenient radius cutting AC and CB at X and Y.

Step 2. Increase the size of the radius and from X and Y, draw arcs which intersect at point F.

Step 3. Draw CF which is perpendicular to AB at point C.

3. Using a compass, from a point outside the line.

Example:

Draw a perpendicular to AB from C.

Step 1. From C, draw an arc using any convenient radius, intersecting AB at X and Y.

Step 2. Using the same radius, draw arcs from X and Y intersecting at F.

Step 3. Draw CF, which is perpendicular to AB.

4. Using a compass from a point at the end of a line. Example:

Draw a perpendicular to AB from B.

Solution:

Step 1. From B, swing an arc with any convenient radius intersecting AB at 0 and continuing in a clockwise direction at least 120.

Step 2. From 0, using the same radius, draw an arc intersecting the arc drawn in Step 1 and X.

Step 3. From point X, draw an arc with the same radius intersecting the arc drawn in Step 1 at Y.

Step 4. From X and Y, draw arcs using the same radius intersecting at F,

Step 5. Draw FB perpendicular to AB at B.

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