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A source book of problems for geometry, based upon industrial design and architectural ornament (1912)

Sykes, Mabel, 1868-, Slaught, H. E. (Herbert Ellsworth), 1861-1937, Lennes, N. J. (Nels Johann), 1874- · Boston, Allyn and Bacon · leaf 337

An illustration from A source book of problems for geometry, based upon industrial design and architectural ornament, 1912, leaf 337
of point P will CE be tangent to circle P,if lines CE, CD, and AB are fixed in position ? 347. The following construction for Tudor arches hasbeen given. It is of limited application as the height ofthe arch is fixed by the construction. c In Fig. 291 AB is of given length. CD,of indefinite length,… … Fig. 291. ARCHES 325 EXERCISES 1. Show how to construct the complete figure. 2. Prove that A G and CG are tangent; also BH and HC. 3. Prove that CG and CH and the line CD are concurrent. 4. If AB = s, find the length of GO and CD. Ans.a) ^■, (2) s(V2-l). 5. Construct a figure similar to Fig. 291,…

Geometry · Decoration and ornament

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