A Source book of Problems for Geometry, Based Upon Industrial Design And Architectural Ornament

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Ans. ■ 14 13. Show that the formula obtained in Ex. 3 may be derived from that in Ex. 11.
14. Can the formula obtained in Ex. 11 be derived from that in §289, Ex. 4?
15. Show how to construct the trefoil shown in the circle in Fig. 246a.
278 GOTHIC TRACERY: POINTED FORMS 293. Figure 247 shows a window which is a combination of that suggested in § 292, Ex. 12, with the one-light type shown in Fig. 228 and with the two-light type shown in Fig. 235.
D E A F G Fig. 247.
Fig. 247a. — From Or Cjan Mi
...chela, Florencoi Italy, In Fig. 247 CNB is a semicircle on CB as diameter. CD — DA = AG = GB.
Semicircles are constructed on the line segments CG, DB, CD, DG, and GB as diameters. The circles are tangent to the arcs as shown. Arcs DM and L6 are drawn with DF as radius and centers on the line KH.
EXERCISES I 1. Find the radii of circles and O'". Show that they may be derived from the formula obtained in § 273, Ex. 6.
Arts. (1) — ; (2) —.
^ -' 20^ ^ 16 2. Find the radius of circle 0".


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