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The diagonal divisions of a diagonal scale work on the principle that

  • A.similar triangles divide a length proportionally
  • B.a diagonal is always longer than the side it subtends
  • C.the diagonals of a rectangle bisect one another
  • D.a circle may be divided into any number of equal arcs

Answer: A

Correct answer: similar triangles divide a length proportionally

A diagonal drawn across a set of equally spaced parallels is cut by them into equal parts, because each pair of parallels forms similar triangles with the diagonal. The horizontal intercept at the nth parallel is therefore n tenths of the full division, which is how the third unit of measurement is obtained without subdividing the base line any further.

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