File:A source book of problems for geometry, based upon industrial design and architectural ornament (1912) (14578075428).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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Fig. 153a.— Mosaic Floor Design. EXERCISES 187. 1. Given the square ABCD, to construct the ornamentalfigure indicated in Fig. 153. 2. If AB = a, find the area of the curved figures (1) ORQPNMLKand (2) OSQPNMLH. Ans. (1) ^(8 - tt) ; (2) 5^.
Text Appearing After Image:
Fig. 154. — From Gothic Woodcarving. Brochure Series, 1900, p. 113, ROUNDED MULTIFOILS 177 EXERCISES188. !• Construct Fig. 154 -within a given square. 2. If AB =a, find the length of XR and OP. Ans. (1) ^(V2 - 1) ; (2) a(V2- 1). 3. If ^B = a, find the area of the oval KL and of the four-pointedfigure with the center at X. Ans. (1) ;(3-2V2)(,r-2); (2) ^(3-2V2)(4 - :r). 4. With the square EFGH giyeii as a basis construct Fig. 154. 5. If EF = b, find the length of OM and AB. ^»«-(l) ;-. (2) ;(V2 + 1). 6. If £Ji^ = b, find the area of one of the ovals and of one of thefour-pointed figures. Ans. (1) 55 (t — 2) ; (2) — (4 — tt). PART 4. ROUNDED MULTIFOILS 189. History and Occurrence. — The designs in this Partabound as large circular windows, as circular lights inpointed windows, and as leaded glass fillings for semicircularspaces over doors and windows. Large circular windows are frequently met in England,but are so abundant in France as to form a striking char-acteristic of

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current01:11, 21 September 2015Thumbnail for version as of 01:11, 21 September 2015548 × 548 (80 KB)Fæ (talk | contribs)== {{int:filedesc}} == {{information |description={{en|1=<br> '''Identifier''': cu31924031218187 ([https://commons.wikimedia.org/w/index.php?title=Special%3ASearch&profile=default&fulltext=Search&search=insource%3A%2Fcu31924031218187%2F find matches])<...

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