Leibniz's catenary and logarithmic curves

Leibniz's catenary and logarithmic curves

A900/0142 Rights Managed

Request low-res file

530 pixels on longest edge, unwatermarked

Request/Download high-res file

Uncompressed file size: 80.0MB

Downloadable file size: 909.5KB

Price image Pricing

Please login to use the price calculator


Caption: Leibniz's catenary and logarithmic curves. Diagram showing the geometric construction of catenary and logarithmic curves, drawn in 1691 by the German mathematician Gottfried Leibniz (1646-1716). This was Leibniz's own answer to his challenge to the mathematicians of the day to discover a method to construct these related curves. A catenary curve is the shape formed by a chain or string hanging from its ends under its own weight. A catenary curve is both arithmetically (addition) and geometrically (multiplication) related to the logarithmic curve (itself the inverse function of multiplication of numbers). This is demonstrated here by subdivisions of the vertical and horizontal lines used to construct the curves.

Release details: Model release not required. Property release not required.

Keywords: 1600s, 17th century, arithmetic, arithmetical, catenary curve, challenge, competition, curve, curves, demonstration, diagram, geometrical, geometry, gottfried leibniz, graph, graphs, historical, history, illustration, leibniz's, liebniz, logarithm, logarithmic curve, mathematical, mathematics, maths, proof

Licence fees: A licence fee will be charged for any media (low or high resolution) used in your project.