File:A source book of problems for geometry, based upon industrial design and architectural ornament (1912) (14578145867).jpg

Identifier: cu31924031218187 (find matches)
Title: A source book of problems for geometry, based upon industrial design and architectural ornament
Year: 1912 (1910s)
Authors: Sykes, Mabel, 1868- Slaught, H. E. (Herbert Ellsworth), 1861-1937 Lennes, N. J. (Nels Johann), 1874-
Subjects: Geometry Decoration and ornament
Publisher: Boston, Allyn and Bacon
Contributing Library: Cornell University Library
Digitizing Sponsor: MSN

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hapesas can be cut out conveniently. This accounts for thepredominance of straight lines and for the simple geo-metric figures that enter into the combinations. 33. History. — Like tiled floor designs, most of the par-quetry patterns are extremely simple, so that while sug-gestions for these designs seem to have been taken fromevery epoch and every country, only the simpler forms ofhistoric ornament have been used. Of the designs here given Figs. 39, 40, 55, 56, 64 arefound in Medieval Byzantine Mosaics. Figures 48, 52,55,57, 60, 62 are of Arabic origin. Figure 51 is a closelyrelated form from a Roman mosaic. Greek frets are alsofound in the catalogues. The simpler Mohammedandesigns here referred to are from Cairo. Simple geo-metric patterns are also found in Chinese and Japaneseart. ^A large proportion of the designs in this chapter are from parquetfloor catalogues. See list of references. 23 24 PARQUET FLOOR DESIGNS PART 1. DESIGNS IN RECTANGLES AND PARAL-LELOGRAMS IXKXX S F a H L
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W¥&&W^ Fig. 27. Fig. 27a. —Tiled Floor Border. Fig. 276. — Parquet Floor Border. EXERCISES 34. 1. Construct a series of squares in a given rectangle, as shownin Fig. 27. Suggestion. — Divide the rectangle into squares by a series ofparallels. 2. Prove that squares BF and CG are congruent. 3. How may the points BCD and FGH be laid off on the sides ofthe rectangle so that the inscribed squares may be constructed bydrawing the straight lines EB, FC, AF, BG, etc.? 4. What relation must exist between two adjacent sides AE andAD ot the rectangle in order that an integral number of squares maybe inscribed in it? 5. If the border is 12 feet long, what must be its width in orderthat 16 squares may be exactly inscribed in it? Ans. 9 in. 6. If the border on one side of a floor is 14 feet long, for whatwidths of border between 8 and 12 inches will it exactly contain anintegTal number of squares ? Ans. 8, 12, 10^. If fractions are permissible, there is no limit tothe possible number

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