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Regiomontanus' angle maximization problem — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Regiomontanus%27_angle_maximization_problem
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T18:19:39.119Z
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Regiomontanus' angle maximization problem — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Regiomontanus%27_angle_maximization_problem (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_dbca66376bba (Metraipolis archive dc_dbca66376bba, sha256 5821cb7d3181296d4109ca8c668e856837fbd8a6ff76e9d475d4b8af0c3c13ab)

BibTeX

@misc{dcdbca66376bba,
  title = {Regiomontanus' angle maximization problem — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Regiomontanus%27_angle_maximization_problem},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_dbca66376bba; sha256 5821cb7d3181296d4109ca8c668e856837fbd8a6ff76e9d475d4b8af0c3c13ab},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Regiomontanus%27_angle_maximization_problem. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In mathematics, the Regiomontanus's angle maximization problem, is a famous optimization problem posed by the 15th-century German mathematician Johannes Müller (also known as Regiomontanus). The problem is as follows: A painting hangs from a wall. Given the heights of the top and bottom of the painting above the viewer's eye level, how far from the wall should the viewer stand in order to maximize the angle subtended by the painting and whose vertex is at the viewer's eye? If the viewer stands too close to the wall or too far from the wall, the angle is small; somewhere in between it is as large as possible. The same approach applies to finding the optimal place from which to kick a ball in rugby. For that matter, it is not necessary that the alignment of the picture be at right angles: we might be looking at a window of the Leaning Tower of Pisa or a realtor showing off the advantages of a sky-light in a sloping attic roof.

Tema degli esploratori: storia e filosofia della scienza (deposito sistematico; categoria «History of mathematics»).
Fonte: Wikipedia in inglese, voce «Regiomontanus' angle maximization problem» — https://en.wikipedia.org/wiki/Regiomontanus%27_angle_maximization_problem
Wikidata Q7308957 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q7308957
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Regiomontanus%27_angle_maximization_problem?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1375878049, consultata il 2026-10-07T17:50:01.502Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 63e7640ab70450b05a677eddf9218a5a160bf034bb1ea1494911a64f67f4abf0