File:A source book of problems for geometry, based upon industrial design and architectural ornament (1912) (14762360764).jpg

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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. 169. — Detail from the Front of Stratsburg Cathedral. Hartung, Vol. I, PI. 21. OTHER FOILED FIGURES 189 4. Construct a four-part figure like Fig. 167a. Suggestion. — In Fig. 168 omit the arcs, AYC, CWE, etc., and in-scribe circles in the four remaining ovals. Note. — A window of this design occurs in Milan Cathedral.^ 5. Find the area of the circle inscribed in one of these ovals. Ans. (3-2V2).2EXERCISES 205. 1. Give the construction for Fig. 169. Arcs FXB, AXC,BZD, etc. are tangent at points A, B, C, etc. 2. Prove that FXB and AXC intersect on the radius drawn to themidpoint of AB. Suggestion. — Prove that OH extended is the perpendicular bisectorof PQ. Since PX = QX, X lies on OH. PART 5. OTHER FOILED FIGURES 206. The strong resemblance that many of the designsof this section bear to conventionalized flower forms sug-gests that as their origin. They have been widely usedthroughout the history of ornament. SPECIAL ROSE WINDOW AND MOSAIC DESIGNSO
Text Appearing After Image:
AFig. 170. — From D efenbach, Series B, PI. XXX. 1 Eomussi, PI. XXIV. 190 GOTHIC TRACERY: FORMS IN CIRCLES EXERCISES 207. 1. Show the construction for Fig. 170. Suggestion. — Draw the two diameters AC and BD at right anglesto each other. Connect the points as shown. F, H, etc. are the mid-dle points of AB, BC, etc. E, G, etc. are the centers ior AFX, BHZ,etc. X YH is so drawn as to pass through the points X and H andhave a radius equal to GB. 2. Prove that AFX passes through the midpoint of the line-seg-ment AB.

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