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A treatise on architecture & building construction volume VII: tables and formulas (1899)

Colliery Engineering Co. · Colliery Engineering Co. · leaf 75

An illustration from A treatise on architecture & building construction volume VII: tables and formulas, 1899, leaf 75
hefigure. Art. 100, § 4. THE CIRC EE. Relation Between Circumference, Diameter, andRadius.— Denoting the circumference by c, the diameter by d, andthe radius by r, 66 TABLES AND FORMULAS. 4 c = * d = 2 ?r r; j = c-, r = —. Art. 103, § 4. 2 7C and Relation Between Arc, Chord, andSegment.— Let / =… … Then, (a) r = -—^ If ^ is less than 4.8, leth r == radius CM of the arc (see Fig. 1);C = chord y4 Z? of the arc;e — chord A C oi half the arc;7/ = height CD of the segment;A = height of segment includedbetween chord A C and arc A C. C* + 4:H\ (b) c (c) A = rr-\Vl%r*-C*-±H\ Art 107, 55 4. Area of…

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