Catenary

Quick Facts: Who was Catenary?

Subject:

Catenary

Known for:

The natural curve assumed by a hanging chain or cable under uniform gravity.

Verified Source:

2Day Chrono-Wiki & Primary Historical Archives

Origins & Early Life

In physics and geometry, a catenary (UK: kə-TEE-nər-ee, US: KAT-ən-err-ee) is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends in a uniform gravitational field. The catenary curve has a U-like shape, superficially similar in appearance to a parabola. The curve appears in the design of certain types of arches and as a cross section of the catenoid—the shape assumed by a soap film bounded by two parallel circular rings.

Career & Major Achievements

The catenary is also called the alysoid, chainette, or, particularly in the materials sciences, an example of a funicular. Rope statics describes catenaries in a classic statics problem involving a hanging rope. Mathematically, the catenary curve is the graph of the hyperbolic cosine function.

Enduring Legacy & Impact

The surface of revolution of the catenary curve, the catenoid, is a minimal surface, specifically a minimal surface of revolution. A hanging chain will assume a shape of least potential energy which is a catenary. Galileo Galilei in 1638 discussed the catenary in the book Two New Sciences recognizing that it was different from a parabola.

Chronological Milestones & Life Events

1. 1638: 1638 Milestone — Galileo Galilei in 1638 discussed the catenary in the book Two New Sciences recognizing that it was different from a parabola.

Historical Fact-Check Quiz: Catenary

True or False: “The catenary curve is the only natural shape assumed by a hanging chain under gravity.”

Answer (FALSE ❌): While the catenary is the ideal shape for a uniform chain, other forces or materials can cause deviations, and it is often compared to, but not exclusively defined by, the parabola.

Contemporary Figures & Related Historical Timelines

• Amakusa Shirō — Historical peer (Died in 1638) (1638): Leader of the Shimabara Rebellion, a pivotal figure in early Edo period Japanese Christianity.
• Cornelius Jansen — Historical peer (Died in 1638) (1638): Influential Dutch Bishop and founder of the theological movement known as Jansenism.
• Dai Hong Dan incident — Chrono-Wiki Encyclopedia Entry: 2007 Somali pirate hijacking of the North Korean cargo ship MV Dai Hong Dan.
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• 1999 Odisha cyclone — Chrono-Wiki Encyclopedia Entry: The most intense tropical cyclone recorded in the North Indian Ocean.
• Odisha — Chrono-Wiki Encyclopedia Entry: Eastern Indian state, historically known as Kalinga, with a rich cultural heritage.

Frequently Asked Questions about Catenary