. Discovery. Science. DISCOVERY 19 the churches of Treves, Speyer, and Freiberg have their plans based on either one or two hexagons. It is especially interesting to find, by examination of the plans in Sir E. A. Wallis Budge's handbook of the Nile, that the temples of Kamak, Medinet Habu, and Denderah reveal the same method of planning.^ The revival of classic architecture gave birth to a multitude of arbitrant' rules derived from the study of the finest buildings of Greece and Rome in the hope of emulating their beauty of proportion. Some of these rules, even when divorced from classic desig
. Discovery. Science. DISCOVERY 19 the churches of Treves, Speyer, and Freiberg have their plans based on either one or two hexagons. It is especially interesting to find, by examination of the plans in Sir E. A. Wallis Budge's handbook of the Nile, that the temples of Kamak, Medinet Habu, and Denderah reveal the same method of planning.^ The revival of classic architecture gave birth to a multitude of arbitrant' rules derived from the study of the finest buildings of Greece and Rome in the hope of emulating their beauty of proportion. Some of these rules, even when divorced from classic design, remained in use until the Victorian age. Thus it was held that beauty of design in any rectangle, such as a window opening or panel, was ensured when the width and length equalled respectively the side and the diagonal of a square, that is to say, were as i to 1-414. For simplicity the approximation 7 to 10 was used by the craftsman. The same rule was also applied to the designing of elliptical brick arches over doorways and will be found recommended for this purpose in 1S40 in the Surveyor and Engineer, a technical journal of the time. The construction of a right angle by means of a triangle whose sides were in the ratio of was a process familiar to the " rope stretcher " or surveyor of Egypt, China, and India in the earliest ages, and the influence exercised by this figure on the design of buildings in later times was dealt with at some length in the previous article in Some further examples of its use are now offered, but to show in detail the various methods in which it was applied would necessitate more space for illustrative plans than can well be spared here. The references, then, are intended chiefly as indicating where confirmation of the statements of its use may be found. If the plans of York Minster be examined, it will be seen that three diamonds—each formed from four triangles with their four right angles in juxtaposition, in
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