The five orders of architecture, 1745.

Engraving showing the five clasical types of pillar: Tuscan, Doric, Ionic, Roman or Composite, and Corinthian. The capital of the Composite pillar combines the Ionic volute or 'ram's horn', and the Corinthian acanthus leaves. Illustration from 'Mathematischer Atlas' (Mathematical atlas) by Tobias Mayer (1723-1762) published in Augsburg in 1745. Each plate has descriptive text on either side; some have contemporary hand colouring. Mayer was heavily influenced by Christian von Wolff's work, through which he had taught himself mathematics. The plates duplicate Wolff's choice of subjects - arithmetic, geometry, trigonometry, astronomy, geography, chronology, gnomonics, fortification, artillery, civil architecture, optics and mechanics.