Drawing BasicsProportion and Measuring

Angles and Plumb Lines

Hold the pencil truly vertical or horizontal to judge an edge's angle and to see what lines up above or beside what.

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Sighting also measures angles and alignments. The trick is to hold the pencil perfectly vertical or perfectly horizontal, so you have something steady to compare the object with.

An edge compared with a level pencil (the dashed line). The gap between them shows the angle.
  • Angles: hold the pencil level (or upright) at arm's length, in front of a slanted edge such as a roof line. See how far the edge tilts away from the pencil, then draw the same tilt.
  • Alignments: hold the pencil straight up and down. It becomes a plumb line, named after a weight on a string that hangs straight down. Look at what lines up along it: which point sits directly above which.
A plumb line through P, the left edge of the cup's rim. Point B, the cup's bottom corner, lies straight below it.

Key idea

Hold the pencil truly vertical or horizontal, never tilted to match the edge. Compare the edge with it to judge the angle, and use it as a plumb line to see what lines up.

Why it works

Our eyes judge angles badly on their own, but they compare two lines side by side very well. A level or upright pencil gives you a fixed reference. Some people also think of a clock face: an edge tilting up to the right like a clock hand pointing at two o'clock rises at about 30 degrees.

Worked example: A roof

You hold your pencil level in front of a roof. The roof edge rises from the level pencil about one third of the way to straight up. About what angle is that?
  1. Straight up from level is 90 degrees.
  2. One third of 90 is 30.

Answer: About 30 degrees.

Common mistake

People tilt the pencil to match the edge, which tells them nothing: an edge always matches itself. Keep the pencil truly level or truly upright, and compare.
Practice: draw an angle you measured.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 2 XP.

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This is one of the top rungs of Drawing Basics.

Sources and further reading

  • Grokipedia, "Plumb bob"
  • Betty Edwards, Drawing on the Right Side of the Brain (4th edition, 2012): contour, negative space and sighting
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