File:A source book of problems for geometry, based upon industrial design and architectural ornament (1912) (14577951609).jpg

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English:

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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Moreover, moderntiles are made in certain definite sizes and shapes whichare related to each other as shown in the previous section.In planning tiled floor designs, therefore, the designer soregulates the distances between the parallels and theangles at which they intersect as to determine the tileswhich he wishes to use. This is evident from a study ofthe designs here shown. 21. History. — The patterns used for tiled floors areamong the simplest found in industrial art. These simpledesigns abound in the geometric mosaics of southern andeastern Europe.^ Italy and Sicily are full of famousexamples, most of which are of Byzantine origin, althoughthose in Sicily strongly suggest Moslem workmanship.There were many different kinds that received specialnames; among them the Opus Alexandrinwm was an ar-rangement of small cubes of porphyry and serpentine setin grooves of white marble. 1 See Gravina and Ongania for sample pavements.See also J. Ward, (1), Vol. I, pp. 288-2M, Vol. II, p. 344.
Text Appearing After Image:
TILED FLOOR PATTEBNS 15 DESIGNS BASED ON THREE SYSTEMS OF PARALLEL LINES4 K B rTTTTT fTTTTT TTTTTl Fig. 17. Fig. 17a. —Scale J in. = I ft. 22. Figure 17 shows a pattern inTolving equilateral triangles con-structed by drawing three sets of parallel lines. EXERCISES 1. At what angle must the lines intersect? 2. If Fig. 17a is drawn on a scale of ; in. to 1 ft., find the length ofeach side of one triangle. Ans. 3 in. 3. How may one of the triangles shown in Fig. 17a be derivedfrom the six-inch square ? Suggestion. — See Fig. 12. 4. If a side of each triangle is 3, find the area of each. Ans. fV3. 5. If a side of each triangle is ;v2, find the area of each. Ans. ;V3. 6. Construct the pattern shown in Fig. 17a, using if possible draw-ing board, T square, and triangle. Let one side of each triangle rep-resent 3 inches. Scale 3 in. = 1 ft. 7. What will be the actual number of square inches of drawingpaper, covered by one triangle, if the drawing is made as suggestedin Ex. 6? Ans.-i^V3. 8

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