. An encyclopaedia of architecture, historical, theoretical, & practical. New ed., rev., portions rewritten, and with additions by Wyatt Papworth. plus water of the principal conduit. Catenary Curve. The mechanical curve formed by a heavy flexible cord or chain ofuniform density, banging freely from the two extremities. Galileo first nrticed it, andproposed it as the proper figure for an arch of equilibrium. He, however, imagined thatit was the same as the parabola. It was James Bernouilli who first iuA-estigated its nature,and its properties were thereafter pointed out liy Jolin Bernouilli, H
. An encyclopaedia of architecture, historical, theoretical, & practical. New ed., rev., portions rewritten, and with additions by Wyatt Papworth. plus water of the principal conduit. Catenary Curve. The mechanical curve formed by a heavy flexible cord or chain ofuniform density, banging freely from the two extremities. Galileo first nrticed it, andproposed it as the proper figure for an arch of equilibrium. He, however, imagined thatit was the same as the parabola. It was James Bernouilli who first iuA-estigated its nature,and its properties were thereafter pointed out liy Jolin Bernouilli, Huygens, and Leib-nitz. From the first of these mathematicians, the following geometrical method of de-termining the relations between the parts of a catenary is translated. The eatenarcaucurve is of two kinds, the eominon, which is formed by a chain equally thick or equallyheavy in all its points; or uncommon, which is formed by a thread unequally thick, thatis, which in all its points is unequally heavy, and in some ratio of the ordinates of agiven curve. To drow the conimon catenary mechanically, suspend on a vertical plane GLOSSARY. i23r. Fig. 1379. a chain of similar and equal links of homogeneous matters, as flexible as possible, from any two points not in a perpendicular line, nor so distant from each other as the length of the chain. Prick the plane through the links as nearly as possible in the middle of the chain, and througii the points draw the catenary {fig. 1379.) Let the chord FED or Ybd be giyen, and the abscissa ovhX intersecting it {) in B or 6 at a given angle. Draw the vertical line EA and FED or IM at the given angle on the plane. Fix one end of the chain at F, and from the point D or d, with another part of the chain, raise or lower the chain until the lower part coincides with A, and through points, made as before, draw the curve. To draw a tangent to the catenary: let DBF be a horizontal line, and at right angles to BA from A draw AE equal to
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