Proportion, or, The geometric principle of beauty, analysed (1843)
Hay, D. R. (David Ramsay), 1798-1866 · Edinburgh and London, W. Blackwood and Sons · leaf 63
GEOMETRIC PRINCIPLE OF BEAUTY ANALYSED. 47 produced by the division of the quadrant by 2, which gives 45°, the diagonal of the primary square, and relates to the right angle as 1 to 2. The second division by 3, gives the vertical diagonal of the first oblong 60°, and relates to the right angle as 2… … The square being homogeneous, has only one proper position, in which its diagonal is always 45° ; the other two rectangles being heterogeneous, have two, a vertical and an horizontal. Their vertical diagonals, as shown above, are respectively 60° and 72°. Their hori- zontal diagonals are therefore…
Proportion (Art)
Internet Archive · Getty Research Institute · Public domain (published before 1931). Free to use for anything.