The American house carpenter. A treatise on the art of building. Comprising styles of architecture, strength of materials, and the theory and practice of the construction of floors, framed girders, roof trusses, rolled-iron beams, tubular-iron girders, cast-iron girders, stairs, doors, windows, mouldings, and cornices; together with a compend of mathematics. A manual for the practical use of architects, carpenters, stair-builders, and others (1880)
Hatfield, R. G. (Robert Griffith), 1815-1879, Hatfield, O. P., ed · New York, J. Wiley & sons · leaf 527
been said to be anellipse in its extreme conditions. 484 THE ELLIPSE. 453.—Ellipse: Relation of Axis to Abscissas of Axes.— Multiplying equation (173.) by ^ we have— or— ay = b x(2a-x). These four factors may be put in a proportion, thus— a \ y :: x{2a-x) : y\representing— AC Tc • ANx NM : PN\ Or :… … It is shown by writers on Conic Sections that this rela-tion is found to subsist, not only with the axes and ordinate,but also between an ordinate to any diameter and the ab-scissas of that diameter ; for example, referring to Fig. 299 -CP^-.CD :: GHy^HP: eTh. If AB PM {Fig. 301) be a semi-circle,…
Carpentry · Architecture · Building
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