# Tagged: Geometric Construction

## Arcs Tangent to Other Arcs (4 Cases)

The problem in figure 4-36 is to draw an arc with a radius equal to AB, tangent to the circular arcs CD and EF. Set a compass to a spread equal to the radius...

## Arc Tangent to a Line and an Arc

The problem in figure 4-35 is to draw a circular arc with a radius equal to AB, tangent to the circular arc CD and to the straight line EF. Set a compass to a...

## Construction of Arc Tangent to Any Two Lines

Figure 4-34 shows a method that can be used regardless of the size of the angle formed by the lines. Again AB equals the given radius of the arc, and the problem is to...

## Construction of Arc Tangent to Perpendicular Lines

Drawing a fillet or round comprises the problem of drawing a circular arc of a given radius tangent to two nonparallel lines. Figure 4-33 shows a method that can be used when the two...

## Line Tangent to a Circle at a Given Point

A line that is tangent to a circle at a given point is perpendicular to the radius that intersects the point. It follows that one method of drawing a line tangent to a circle...

## Construct Circle through Three Points

In figure 4-31 the problem is to draw a circle (or a circular arc) that passes through points A, B, and C. Connect the points by lines and erect perpendicular bisectors as shown. The...

## Construction of a Hexagon (3 Methods)

Regular Hexagon in a Given Circumscribed Circle Many bolt heads and nuts are hexagonal (six-sided) in shape. Figure 4-26 shows a method of constructing a regular hexagon in a given circumscribed circle. The diameter...

## Construction of a Triangle from Three Given Sides

To draw a triangle with three sides given, first draw a straight line AB, equal in length to one of the given sides (fig. 4-12). With A as a center, strike an arc with...

## Bisecting an Angle

To bisect an angle means to divide it in half. If you know the size of the angle, you can bisect it by simply dividing the size by 2 and laying off the result...

## Transferring an Angle

There is a geometric construction for laying off, on another part of the same drawing or on a different drawing, an angle equal in size to one that is already drawn. This procedure, called...