वक्र सैद्धांतिक रूप से वर्दी घनत्व और क्रॉस सेक्शन की एक पूरी तरह से लचीला और अज्ञानी कॉर्ड द्वारा ग्रहण किया गया है जो दो निश्चित बिंदुओं से स्वतंत्र रूप से लटकते हैं

Noun:

ज़ंजीर की रेखा,

catenary's Usage Examples:

Finally, we may refer to the catenary of uniform strength, where the cross-section of the wire (or cable) is supposed to vary as the tension.

It is a classical problem in the calculus of variations to deduce the equation (9) from the condition that the depth of the centre of gravity of a, chain of given length hanging I I between fixed points must be catenary; it determines the scale of the curve, all cate } stationary (~ 9).

The true catenary is that assumed by a chain of uniform weight per unit of length, but the form generally adopted for suspension bridges is that assumed by a chain under a weight uniformly distributed relatively to a horizontal line.

He proposed the problem of the catenary or curve formed by a chain suspended by its two extremities, accepted Leibnitz's construction of the curve and solved more complicated problems relating to it.

(12) Along the stream line xABPJ, 4) =o; and along the jet surface PJ, -1 >49> - oo; and putting 4 = -irs/c - I, the intrinsic quation is irs/c =cot 2 nO, (13) hich for n =I is the evolute of a catenary.

x The involute of the catenary is called the tractory, tractrix or antifriction curve; it has a cusp at the vertex of the catenary, and is asymptotic to the directrix.

The surface formed by revolving the catenary about its directrix is named the alysseide.

A volume entitled Opera posthuma (Leiden, 1703) contained his "Dioptrica," in which the ratio between the respective focal lengths of object-glass and eye-glass is given as the measure of magnifying power, together with the shorter essays De vitris figurandis, De corona et parheliis, 'c. An early tract De ratiociniis tin ludo aleae, printed in 16J7 with Schooten's Exercitationes mathematicae, is notable as one of the first formal treatises on the theory of probabilities; nor should his investigations of the properties of the cissoid, logarithmic and catenary curves be left unnoticed.

The ship is then stopped, and the cable gradually hove up towards the surface; but in deep water, unless it has been caught near a loose end, the cable will break on the grapnel before it reaches the surface, as the catenary strain on the bight will be greater than it will stand.

The simple catenary is shown in the figure.

catenary's Meaning':

the curve theoretically assumed by a perfectly flexible and inextensible cord of uniform density and cross section hanging freely from two fixed points

Synonyms:

curve, curved shape,

Antonyms:

straight line, curliness, straightness,