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The Book of Optics
Optics
(Arabic: كتاب المناظر‎, translit. Kitāb al-Manāẓir; Latin: De Aspectibus
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
Alhazen
or Alhacen (965– c. 1040 AD). The Book of Optics
Optics
presented experimentally founded arguments against the widely held extramission theory of vision (as held by Euclid
Euclid
in his Optica) and in favor of intromission theory, as supported by thinkers such as Aristotle, the now accepted model that vision takes place by light entering the eye.[2]:60–7. [3] Alhazen's work extensively affected the development of optics in Europe between 1260 and 1650.[4]

Contents

1 Vision theory 2 Light and color theory 3 Anatomy of the eye and visual process 4 Volumes 5 Influence 6 See also 7 English translations 8 References

Vision theory[edit] Before the Book of Optics
Optics
was written, two theories of vision existed. The extramission or emission theory was forwarded by the mathematicians Euclid[5] and Ptolemy,[6] who asserted that certain forms of radiation are emitted from the eyes onto the object which is being seen. When these rays reached the object they allowed the viewer to perceive its color, shape and size. The intromission theory, held by the followers of Aristotle
Aristotle
and Galen, argued that sight was caused by agents, which were transmitted to the eyes from either the object or from its surroundings. Al-Haytham
Al-Haytham
offered many reasons against the extramission theory, pointing to the fact that eyes can be damaged by looking directly at bright lights, such as the sun.[7]:313–314 He claimed the low probability that the eye can fill the entirety of space as soon as the eyelids are opened as an observer looks up into the night sky.[8][9] Using the intromission theory as a foundation, he formed his own theory that an object emits rays of light from every point on its surface which then travel in all directions, thereby allowing some light into a viewer's eyes. According to this theory, the object being viewed is considered to be a compilation of an infinite amount of points, from which rays of light are projected.[10][11] Light and color theory[edit] In the Book of Optics, al-Haytham claimed the existence of primary and secondary light, with primary light being the stronger or more intense of the two. The book describes how the essential form of light comes from self-luminous bodies and that accidental light comes from objects that obtain and emit light from those self-luminous bodies. According to Ibn al-Haytham, primary light comes from self-luminous bodies and secondary light is the light that comes from accidental objects.[7]:317[12] Accidental light can only exist if there is a source of primary light. Both primary and secondary light travel in straight lines. Transparency is a characteristic of a body that can transmit light through them, such as air and water, although no body can completely transmit light or be entirely transparent. Opaque objects are those through which light cannot pass through directly, although there are degrees of opaqueness which determine how much light can actually pass through. Opaque objects are struck with light and can become luminous bodies themselves which radiate secondary light. Light can be refracted by going through partially transparent objects and can also be reflected by striking smooth objects such as mirrors, traveling in straight lines in both cases. Al-Haytham
Al-Haytham
presented many experiments in Optics
Optics
that upheld his claims about light and its transmission. He also claimed that color acts much like light, being a distinct quality of a form and travelling from every point on an object in straight lines.[13] Through experimentation he concluded that color cannot exist without air.[8] Anatomy of the eye and visual process[edit] As objects radiate light in straight lines in all directions, the eye must also be hit with this light over its outer surface. This idea presented a problem for al-Haytham and his predecessors, as if this was the case, the rays received by the eye from every point on the object would cause a blurred image. Al-Haytham
Al-Haytham
solved this problem using his theory of refraction. He argued that although the object sends an infinite amount of rays of light to the eye, only one of these lines falls on the eye perpendicularly: the other rays meet the eye at angles that aren't perpendicular. According to al-Haytham, this causes them to be refracted and weakened. He claimed that all the rays other than the one that hits the eye perpendicularly are not involved in vision.[7]:315–316 In al-Haytham's structure of the eye, the crystalline humor is the part that receives light rays from the object and forms a visual cone, with the object being perceived as the base of the cone and the center of the crystalline humor in the eye as the vertex. Other parts of the eye are the aqueous humor in front of the crystalline humor and the vitreous humor at the back. These, however, do not play as critical of a role in vision as the crystalline humor. The crystalline humor transmits the image it perceives to the brain through an optic nerve.[8] Volumes[edit]

Book I - Book I deals with al-Haytham's theories on light, colors, and vision.[8] Book II - Book II is where al-Haytham presents his theory of visual perception.[8] Book III and Book VI - Book III and Book VI present al-Haytham's ideas on the errors in visual perception with Book VI focusing on errors related to reflection.[8] Book IV and Book V - Book IV and Book V provide experimental evidence for al-Haytham's theories on reflection.[8] Book VII - Book VII deals with the concept of refraction.[8]

Influence[edit] The Book of Optics
Optics
was most strongly influenced by Ptolemy's Optics, while the description of the anatomy and physiology of the eye was based upon an account by Galen.[4] The Book of Optics
Optics
was translated into Latin
Latin
by an unknown scholar at the end of the 12th (or the beginning of the 13th) century.[2]:209–10.[14] The work was influential during the Middle Ages.[2]:86.[15] It was printed by Friedrich Risner
Friedrich Risner
in 1572, as part of his collection Opticae thesaurus. This included a book on twilight falsely attributed to Alhazen, as well as a work on optics by Witelo.[1] See also[edit]

History of optics Ibn Sahl Scientific method

English translations[edit]

Sabra, A. I., ed. (1983), The Optics
Optics
of Ibn al-Haytham, Books I–II–III: On Direct Vision. The Arabic text, edited and with Introduction, Arabic- Latin
Latin
Glossaries and Concordance Tables, Kuwait: National Council for Culture, Arts and Letters  Sabra, A. I., ed. (2002), The Optics
Optics
of Ibn al-Haytham. Edition of the Arabic Text of Books IV–V: On Reflection and Images Seen by Reflection. 2 vols, Kuwait: The National Council for Culture, Arts and Letters  The Optics
Optics
of Ibn al-Haytham. Books I–II–III: On Direct Vision. English Translation and Commentary. 2 vols, Studies of the Warburg Institute, vol. 40, translated by Sabra, A. I., London: The Warburg Institute, University of London, 1989, ISBN 0-85481-072-2  Smith, A. Mark, ed. (2001), written at Philadelphia, translated by Smith, "Alhacen's Theory of Visual Perception: A Critical Edition, with English Translation and Commentary, of the First Three Books of Alhacen's De Aspectibus, the Medieval Latin
Latin
Version of Ibn al-Haytham's Kitāb al-Manāẓir, 2 vols.", Transactions of the American Philosophical Society, Philadelphia: American Philosophical Society, 91 (4-5), ISBN 0-87169-914-1, OCLC 47168716  Books I-III (2001 — 91(4)) Vol 1 Commentary and Latin
Latin
text via JSTOR; — 91(5) Vol 2 English translation, Book I:TOCpp.339-341, Book II:TOCpp.415-6, Book III:TOCpp.559-560, Notes 681ff, Bibl. via JSTOR Smith, A. Mark, ed. (2006), written at Philadelphia, translated by Smith, "Alhacen on the principles of reflection: A Critical Edition, with English Translation and Commentary, of books 4 and 5 of Alhacen's De Aspectibus, the Medieval Latin
Latin
Version of Ibn al-Haytham's Kitāb al-Manāẓir, 2 vols.", Transactions of the American Philosophical Society, Philadelphia: American Philosophical Society, 95 (2-3)  2 vols: . (Philadelphia: American Philosophical Society), 2006 — 95(#2) Books 4-5 Vol 1 Commentary and Latin
Latin
text via JSTOR; 95(#3) Vol 2 English translation, Notes, Bibl. via JSTOR Smith, A. Mark, ed. and trans. (2008) Alhacen on Image-formation and distortion in mirrors : a critical edition, with English translation and commentary, of Book 6 of Alhacen's De aspectibus, [the Medieval Latin
Latin
version of Ibn al-Haytham's Kitāb al-Manāzir], Transactions of the American Philosophical Society, 2 vols: Vol 1 98(#1, section 1— Vol 1 Commentary and Latin
Latin
text); 98(#1,section 2 — Vol 2 English translation). (Philadelphia: American Philosophical Society), 2008. Book 6 (2008) Vol 1 Commentary and Latin
Latin
text via JSTOR; Vol 2 English translation, Notes, Bibl. via JSTOR Smith, A. Mark, ed. and trans. (2010) Alhacen on Refraction : a critical edition, with English translation and commentary, of Book 7 of Alhacen's De aspectibus, [the Medieval Latin
Latin
version of Ibn al-Haytham's Kitāb al-Manāzir], Transactions of the American Philosophical Society, 2 vols: 100(#3, section 1 — Vol 1, Introduction and Latin
Latin
text); 100(#3, section 2 — Vol 2 English translation). (Philadelphia: American Philosophical Society), 2010. Book 7 (2010) Vol 1 Commentary and Latin
Latin
text via JSTOR;Vol 2 English translation, Notes, Bibl. via JSTOR

References[edit]

^ a b Friedrich Risner, publ. 1572. Opticae Thesaurus: Alhazeni Arabis Libri Septem Nunc Primum Editi , Eiusdem Liber De Crepusculis Et Nubium Asensionibus . Item Vitellonis Thuringopoloni Libri X. See Sabra, the authorship of Liber de crepusculis ^ a b c D. C. Lindberg (1976), Theories of Vision from al-Kindi to Kepler, Chicago, Univ. of Chicago Press ISBN 0-226-48234-0 ^ Nader El-Bizri, 'A Philosophical Perspective on Alhazen's Optics', Arabic Sciences and Philosophy 15 (2005), 189–218 ^ a b (Smith 2001, p. lxxix) ^ Euclid's Optics ^ Smith, A. Mark (1988) "Ptolemy, Optics" Isis Vol. 79, No. 2 (Jun., 1988), pp. 188-207, via JSTOR

Smith, A. Mark (1996) Ptolemy's Theory of Visual Perception: An English Translation of the "Optics" with Introduction and Commentary Transactions of the American Philosophical Society
American Philosophical Society
86(2) (1996) via JSTOR Smith, A. Mark (1999) Ptolemy
Ptolemy
and the Foundations of Ancient Mathematical Optics: A Source Based Guided Study Transactions of the American Philosophical Society
American Philosophical Society
New Series, 89(3) (1999) via JSTOR

^ a b c Lindberg, David C. (1992). The Beginnings of Western Science. Chicago: The University of Chicago Press.  ^ a b c d e f g h "Complete Dictionary of Scientific Biography". Ibn Al-Haytham, Abū ʿAlī Al-Ḥasan Ibn Al-Ḥasan. Gale Virtual Reference Library.  ^ "Ibn Al-Haytham, Abū". HighBeam Research. Retrieved 26 December 2014.  ^ Osler, Margaret J. (2010). Reconfiguring the World. Baltimore: The Johns Hopkins University Press. p. 103.  ^ Smith, A. Mark (2004). "What is the History of Medieval Optics Really About?" (PDF). Archived from the original (PDF) on 2011-10-18.  ^ A detailed study on Ibn al-Haytham's theory of colors is noted in: Nader El-Bizri, ' Ibn al-Haytham
Ibn al-Haytham
et le problème de la couleur', Oriens-Occidens: Cahiers du centre d'histoire des sciences et des philosophies arabes et médiévales, C.N.R.S. 7 (2009), pp. 201–226. ^ Refer to: Nader El-Bizri, ' Ibn al-Haytham
Ibn al-Haytham
et le problème de la couleur', Oriens-Occidens: Cahiers du centre d'histoire des sciences et des philosophies arabes et médiévales, C.N.R.S. 7 (2009): 201–226; see also Nader El-Bizri, 'Grosseteste’s Meteorological Optics: Explications of the Phenomenon of the Rainbow after Ibn al-Haytham', in Robert Grosseteste and the Pursuit of Religious and Scientific Knowledge in the Middle Ages, eds. J. Cunningham and M. Hocknull (Dordrecht: Springer, 2016), pp. 21-39. ^ Crombie, A. C. (1971), Robert Grosseteste and the Origins of Experimental Science, 1100 - 1700, Oxford: Clarendon Press, p. 147  ^ David Lindberg, Mark Smith and Nader El-Bizri
Nader El-Bizri
note Alhazen's considerable influence on the Perspectivists:

Smith, A. Mark (1981), "Getting the Big Picture in Perspectivist Optics" Isis 72(4) (Dec., 1981). via JSTOR El-Bizri, Nader (2010). "Classical Optics
Optics
and the Perspectiva Traditions Leading to the Renaissance". In Hendrix, John Shannon; Carman, Charles H. Renaissance Theories of Vision (Visual Culture in Early Modernity). Farnham, Surrey: Ashgate. pp. 11–30. ISBN 1-409400-24-7.  Nader El-Bizri, 'Seeing Reality in Perspective: The Art of Optics
Optics
and the Science of Painting’, in The Art of Science: From Perspective Drawing to Quantum Randomness, eds. Rossella Lupacchini and Annarita Angelini (Doredrecht: Springer, 2014), pp. 25-47. Lindberg, David (1971) "Lines of Influence in Thirteenth-Century Optics: Bacon, Witelo, and Pecham" Speculum 46(1) (Jan., 1971), pp. 66-83, via JSTOR

v t e

Mathematics in medieval Islam

Mathematicians

9th century

'Abd al-Hamīd ibn Turk Sind ibn Ali al-Jawharī Al-Ḥajjāj ibn Yūsuf Al-Kindi Al-Mahani al-Dinawari Banū Mūsā Hunayn ibn Ishaq al-Khwārizmī Yusuf Al-Khuri ibn Qurra Na'im ibn Musa Sahl ibn Bishr al-Marwazi Abu Said Gorgani

10th century

al-Sufi Abu al-Wafa al-Khāzin Abū Kāmil Al-Qabisi al-Khojandi Ahmad ibn Yusuf Aṣ-Ṣaidanānī al-Uqlidisi Al-Nayrizi Al-Saghani Brethren of Purity Ibn Sahl Ibn Yunus Ibrahim ibn Sinan Al-Battani Sinan ibn Thabit Al-Isfahani Nazif ibn Yumn al-Qūhī Abu al-Jud al-Majriti al-Jabali

11th century

al-Zarqālī Abu Nasr Mansur Said al-Andalusi Ibn al-Samh Al-Biruni Alhazen ibn Fatik Al-Sijzi al-Nasawī Al-Karaji Avicenna Muhammad al-Baghdadi ibn Hud al-Jayyānī Kushyar Gilani Al-Muradi Al-Isfizari Abu Mansur al-Baghdadi

12th century

Al-Samawal al-Maghribi Avempace Al-Khazini Omar Khayyam Jabir ibn Aflah al-Hassar Al-Kharaqī Sharaf al-Dīn al-Ṭūsī Ibn al-Yasamin

13th century

al-Hanafi al-Abdari Muhyi al-Dīn al-Maghribī Ibn 'Adlan Nasir al-Din al-Tusi Shams al-Dīn al-Samarqandī Ibn al‐Ha'im al‐Ishbili Ibn Abi al-Shukr al-Hasan al-Marrakushi

14th century

al-Umawī Ibn al-Banna' Ibn Shuayb Ibn al-Shatir Kamāl al-Dīn al-Fārisī Al-Khalili Qutb al-Din al-Shirazi Ahmad al-Qalqashandi Ibn al-Durayhim

15th century

al-Qalaṣādī Ali Qushji al-Wafa'i al-Kāshī al-Rūmī Ulugh Beg Ibn al-Majdi Sibt al-Maridini al-Kubunani

16th century

Al-Birjandi Muhammad Baqir Yazdi Taqi ad-Din Ibn Hamza al-Maghribi Ibn Ghazi al-Miknasi Ahmad Ibn al-Qadi

Mathematical works

The Compendious Book on Calculation by Completion and Balancing De Gradibus Principles of Hindu Reckoning Book of Optics The Book of Healing Almanac Encyclopedia of the Brethren of Purity Toledan Tables Tabula Rogeriana Zij

Concepts

Alhazen's problem Islamic geometric patterns

Centers

Al-Azhar University Al-Mustansiriya University House of Knowledge House of Wisdom Constantinople observatory of Taqi al-Din Madrasa Maktab Maragheh observatory University of Al Quaraouiyine

Influences

Babylonian mathematics Greek mathematics Indian mathematics

Influenced

Byzantine mathematics European mathematics

.