Definition Of asymptote

a line that continually approaches a given curve but does not meet it at any finite distance.

In book two Apollonius investigates how hyperbolas are related to their asymptotes , and he also studies how to draw tangents to given conics.

Example Of asymptote

  • As resource input rates decreased, this proportion increased asymptotically .

  • Barnes next turned his attention to the theory of integral functions, where, in a series of papers, he investigated their asymptotic structure.

  • For these data, the linear and asymptotic curves were nearly indistinguishable.

  • Gromov brought his geometric intuition to group theory and told us to look at the asymptotic properties of the Cayley graph.

  • He also worked on asymptotic analysis, fractional integration and singular partial differential equations.


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