Graspline

Scales (plain, diagonal, vernier): a solved example

Construct a plain scale of RF 1/40 to read metres and decimetres, and long enough to measure up to 6 m.

Every line below was drawn and checked by Graspline's own geometry engine, by the textbook method, one step at a time with the reason for each.

metresdecimetresRF = 1/400123450123451086420
The finished drawing.

The construction, step by step

  1. Draw the scale length

    RF 1/40, to read up to 6 m. Length of scale = RF × 6000 mm = 150 mm.

  2. Divide it into main divisions

    Divide the length into 6 equal parts, each one m (25 mm), and number them 0, 1, … 5 from the first division to the right.

  3. Subdivide the first division

    Subdivide the first main division, at the left, into 10 equal parts, each one dm (2.5 mm); number them 0, 1, … 10 leftwards.

    ✓ Verified: every drawn main and sub-division mark is exactly 25 mm and 2.5 mm apart, and the scale length is RF × 6 m.

  4. Result

    The scale is 150 mm long: 6 main divisions of 25 mm, the first read in dm.

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