Noun:

अनंतस्‍पर्शी अवस्‍था, एक रेखा जो दी हुई वक्ररेखा के समीप तो आती-जाती है, किंतु परिमित दूरी में उससं नहीं मिलती, अनंतस्‍पर्शी रेखा, अनंतस्‍पर्शी,

asymptotes's Usage Examples:

It will readily be understood how the like considerations apply to other cases, - for instance, if the line is a tangent at an inflection, passes through a crunode, or touches one of the branches of a crunode, 'c. thus, if the line S2 passes through a crunode we have pairs of hyperbolic legs belonging to two parallel asymptotes.

The work falls into two parts, which treat of the asymptotes and singularities of algebraical curves respectively; and extensive use is made of the method of counting constants which plays so large a part in modern geometrical researches.

His discussion of curves of the third order turned mainly on the nature of their asymptotes, and depended on the fact that the equation to every such curve can be put into the form pqr-hus = o.

The orbit has therefore two asymptotes, inclined at an angle lr/m.

58) has two vertical asymptotes x = ~ 3/4irx; this shows that however the thickness of a cable be adjusted there is a limit irA to the horizontal span, where A depends on the tensile strength of the material.

The isothermals are approximately equilateral hyperbolas (pv= constant), with the axes of p and v for asymptotes, for a gas or unsaturated vapour, but coincide with the isopiestics for a saturated vapour in presence of its liquid.

If the tangent at P meets the asymptotes in R, R', then CR.CR' = CS 2.

Any line cuts off equal distances between the curve and the asymptotes.

We may observe that the asymptotes intersect this circle in the same points as the directrices.

If the asymptotes be perpendicular, or, in other words, the principal axes be equal, the curve is called the rectangular hyperbola.

Synonyms:

straight line,

Antonyms:

quadric surface, curve,