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De catenary kwam al even langs:
Grote geesten hebben er hun tanden in gezet, eenvoudig was het geenszins
The word catenary is derived from the Latin word catena, which means "chain". The curve is also called the "alysoid", "funicular", and "chainette".
1 claimed that the curve of a chain hanging under gravity would be a parabola, but this was disproved by
2 (1587-1657) and published posthumously in 1669.[1]
In 1691,
3,
4, and
5 derived the equation in response to a challenge by
6. 4 first used the term 'catenaria' in a letter to
5 in 1690, and
6 wrote a treatise on the catenary in 1690. However
7 is usually credited with the English word 'catenary'[2].
The application of the catenary to the construction of arches is ancient, as described below; the modern rediscovery and statement is due to
8, who discovered it in the context of the rebuilding of St Paul's Cathedral[3], possibly having seen
4' work on the catenary.
In 1671,
9 announced to the Royal Society that he had solved the problem of the optimal shape of an arch, and in 1675 published an encrypted solution as a Latin anagram[4] in an appendix to his Description of Helioscopes,[5] where he wrote that he had found "a true mathematical and mechanical form of all manner of Arches for Building". He did not publish the solution of this anagram[6] in his lifetime, but in 1705 his executor provided it as:
“ Ut pendet continuum flexile, sic stabit contiguum rigidum inversum. ”
meaning
“ As hangs a flexible cable, so inverted, stand the touching pieces of an arch. ”
10 proved in 1744 that the catenary is the curve which, when rotated about the x-axis, gives the surface of minimum surface area (the catenoid) for the given bounding circle.[7]
Een van de 10 namen is voldoende voor het punt
Niet geschoten is altijd mis..
Ach Margrietje, de Rozen zullen bloeien..