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Alhazen's problem, also known as Alhazen's billiard problem, is a mathematical problem in geometrical optics first formulated by Ptolemy in 150 AD. [1] It is named for the 11th-century Arab mathematician Alhazen ( Ibn al-Haytham ) who presented a geometric solution in his Book of Optics .
Ḥasan Ibn al-Haytham (Latinized as Alhazen; / æ l ˈ h æ z ən /; full name Abū ʿAlī al-Ḥasan ibn al-Ḥasan ibn al-Haytham أبو علي، الحسن بن الحسن بن الهيثم; c. 965 – c. 1040) was a medieval mathematician, astronomer, and physicist of the Islamic Golden Age from present-day Iraq.
The Book of Optics (Arabic: كتاب المناظر, romanized: Kitāb al-Manāẓir; Latin: De Aspectibus or Perspectiva; Italian: Deli Aspecti) is a seven-volume treatise on optics and other fields of study composed by the medieval Arab scholar Ibn al-Haytham, known in the West as Alhazen or Alhacen (965–c. 1040 AD).
Alhazen played a role in the development of optics. One of the prevailing theories of vision in his time and place was the emission theory supported by Euclid and Ptolemy, where sight worked by the eye emitting rays of light, and the other was the Aristotelean theory that sight worked when the essence of objects flows into the eyes. Alhazen ...
Early in the 11th century Alhazen wrote a scathing critique of Ptolemy's model in his Doubts on Ptolemy (c. 1028), which some have interpreted to imply he was criticizing Ptolemy's geocentrism, [14] but most agree that he was actually criticizing the details of Ptolemy's model rather than his geocentrism. [15]
Other than Galileo, not many people of his day were able to accurately measure short time periods, such as the fall time of an object. Galileo accurately measured these short periods of time by creating a pulsilogon. This was a machine created to measure time using a pendulum. [15] The pendulum was synchronized to the human pulse. He used this ...
The natural sciences saw various advancements during the Golden Age of Islam (from roughly the mid 8th to the mid 13th centuries), adding a number of innovations to the Transmission of the Classics (such as Aristotle, Ptolemy, Euclid, Neoplatonism). [1] During this period, Islamic theology was encouraging of thinkers to find knowledge. [2]
Ibn al-Haytham (Latinized as Alhazen) wrote a work in the hay'a tradition of Islamic astronomy known as Al-Shukūk ‛alà Baṭlamiyūs (Doubts on Ptolemy). He criticized Ptolemy's astronomical system on theoretical grounds but also sought reconciliation with it. [36]