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 120
to EQF and to the line RQ at N. 4. If AB = a, find the length of NF, FK, and KB. Ans. (1) ^V2; (2) |(2 + V2) ; (3) |VlO + 4^. 5. Find the per cent of error if we say KB = AB. Ans. 1.2% nearly. e. If AB = a, find the length of NY{= x). Ans. ^ (2 - \/2). 8 Suggestion. —BY =^-\-x; YF=^V2-x; BY^ - fP^… … Fig. 95a. Suggestion. — See Fig. 9oa. Here the problem is to construct acircle tangent to cii-cle 0 and to the line AB at point C. Use methodsuggested in Ex. 3 above. Show that two circles are possible. Foranother method of solving this problem see § 246. 120. In Fig. 96, ABCD is a squarewith the…
Geometry · Decoration and ornament
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