Solution:Step 1.Step 2.Step 3.Step 4.Draw a line AC at any assumed angle to AB.Step off with compass 5 equal parts on AC.At Q (the end of 5 parts), draw line BQ.At points M, N, O, and P, construct anglesequal to L BQA.Conclusion:Where sides of angles constructed in Step 4 meet AB,they will divide AB into equal parts.3. Equal segments on the side of an angleExample:Divide AB into 5 equal parts.Solution:Step 1.Step 2.Step 3.Step 4.At any assumed angle draw AC.Step off 5 equal parts on AC.At Q (the end of 5 parts), draw line BQ.Draw lines through P, O, N, and M parallelSolution:Step 1.Step 2.Step 3.At A draw a line perpendicular to AB.Place the scale at an angle so that thedistance on the scale will divide easily into6 parts. In the above, we have selected 3“which will divide into 6 equal parts of 1/2”each.Draw lines from 1/2"; each division isperpendicular to AB.Conclusion:The perpendiculars drawn will divide AB into 6 equalparts.PLANE SHAPESA plane shape is a portion of a plane bounded bystraight or curved lines or a combination of the two.The number of different types of plane shapes isinfinite, but we are concerned with those which are ofimportance to you as a sheet metal craftsman. We willcover the circle, triangle, quadrilateral, other polygons,and ellipses.CIRCLESto BQ.Conclusion:Where parallel lines intersect AB, AB will be dividedinto 5 equal parts.Note the similarity of methods 3 and 2.4. Use of a scaleExample:Divide line AB, which is 29/16” long, into 6 equal parts.Definitions:A CIRCLE is a closed curved line in which anypoint on the curved line is equidistant from a point calledthe center. (Circle O).A RADIUS is a line drawn from the center of acircle to a point on a circle. (As OA, OB, OX, and OY.)A DIAMETER is a line drawn through the centerof a circle with its ends lying on the circle.A DIAMETER is twice the length of a radius. (ABis a diameter of circle O.)AII-7

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