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Arc

As explained in How Computers Make Books

A circular arc is a continuous portion of the circumference of a circle.

A circular arc is a continuous portion of a circle’s circumference. In letter design, arcs provide curved sections that can be scaled more reliably than collections of straight lines. section 2.1

Building a letter C

A letter C can be assembled from straight lines and circular arcs. This works for a simple curve, but an ampersand or another complicated letter may need many different curves joined smoothly. section 2.1

Circular arcs are useful but limited:

  • They are easy to draw with a compass and suit simple letter forms. section 2.1
  • They cannot represent every curve, so complex shapes may require French curves or Bézier curves. section 2.1 section 2.3
  • Bézier curves can closely approximate a circle or arc, but cannot represent one exactly; four curves approximate a full circle. section 2.3
Figure 2.1 The letter C composed of only straight lines and circular arcs

Compare a C made from straight lines and circular arcs to see why curved primitives matter for scalable letter forms. section 2.1

How How Computers Make Books covers it

How deep it goes
Explains construction, scaling, drafting limits, and Bézier approximations, but stops short of deriving curve equations.
Examples
Uses a letter C, an ampersand, circles, a letter O, and physical compass and French-curve drafting tools.
What you can do after
Evaluate when circular arcs suit a shape and recognize when more flexible curve representations are needed.
How it connects
Connects circular arcs with typefaces, French curves, Bézier curves, and shape-filling rules.

Also explained in

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Related concepts

This explainer was generated by Manning's knowledge graph from the text of How Computers Make Books. The section links point to the parts of the book it draws on.