Book of Optics

Short description: 11th century treatise on optics by Ibn al-Haytham

Author| Ibn al-Haytham
Original title| كتاب المناظر
Language| Arabic
Published| 1011 to 1021

Front page of the Latin Opticae Thesaurus, which included Alhazen's Book of Optics, showing rainbows, the use of parabolic mirrors to set ships on fire, distorted images caused by refraction in water, and other optical effects.

The Book of Optics (Arabic: كتاب المناظر; 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).

The Book of Optics presented experimentally founded arguments against the widely held extramission theory of vision (as held by Euclid in his Optica), and proposed the modern intromission theory, the now accepted model that vision takes place by light entering the eye.[1]:60–7.[2][3][lower-alpha 1][lower-alpha 2] The book is also noted for its early use of the scientific method, its description of the camera obscura, and its formulation of Alhazen's problem. The book extensively affected the development of optics, physics and mathematics in Europe between the 13th and 17th centuries.[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 Notes
* 9 References

## Vision theory

Before the Book of 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. An early version of the intromission theory, held by the followers of 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 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 number of points, from which rays of light are projected.[10][11]

## Light and color theory

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 presented many experiments in 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

The structure of the human eye according to Ibn al-Haytham. Note the depiction of the optic chiasm. —Manuscript copy of his Kitāb al-Manāẓir (MS Fatih 3212, vol. 1, fol. 81b, Süleymaniye Mosque Library, Istanbul)

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 solved this problem using his theory of refraction. He argued that although the object sends an infinite number 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 are not 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

* Book I deals with al-Haytham's theories on light, colors, and vision.[8]
* Book II is where al-Haytham presents his theory of visual perception.[8]
* 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 provide experimental evidence for al-Haytham's theories on reflection.[8]
* Book VII deals with the concept of refraction.[8]

## Influence

The Book of 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 was translated into Latin by an unknown scholar at the end of the 12th (or the beginning of the 13th) century.[1]:209–10.[14] The work was influential during the Middle Ages.[1]:86.[15] It was printed by 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 Vitello.[16]

## See also

* History of optics
* Ibn Sahl
* Scientific method

## English translations

* Sabra, A. I., ed. (1983), The Optics of Ibn al-Haytham, Books I–II–III: On Direct Vision. The Arabic text, edited and with Introduction, Arabic-Latin Glossaries and Concordance Tables, Kuwait: National Council for Culture, Arts and Letters
* Sabra, A. I., ed. (2002), The 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 of Ibn al-Haytham. Books I–II–III: On Direct Vision. English Translation and Commentary. 2 vols, Studies of the Warburg Institute, vol. 40, London: The Warburg Institute, University of London, 1989, ISBN 0-85481-072-2
* Smith, A. Mark, ed. (2001), "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 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 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), "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 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 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 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 text); 98(#1,section 2 — Vol 2 English translation). (Philadelphia: American Philosophical Society), 2008. Book 6 (2008) Vol 1 Commentary and 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 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 text); 100(#3, section 2 — Vol 2 English translation). (Philadelphia: American Philosophical Society), 2010. Book 7 (2010) Vol 1 Commentary and Latin text via JSTOR;Vol 2 English translation, Notes, Bibl. via JSTOR

## Notes

1. ↑ "And this [experiment using a camera obscura] can be tried anytime". Book I [6.86] Smith 2001, p.379
2. ↑ Book of Optics Book II [3.52] to [3.66] Summary from Smith 2001 p.444 for Alhazen's experiments on color; pp.343—394 for his physiological experiments on the eye

## References

1. ↑ 1.0 1.1 1.2 D. C. Lindberg (1976), Theories of Vision from al-Kindi to Kepler, Chicago, Univ. of Chicago Press ISBN:0-226-48234-0
2. ↑ Nader El-Bizri, 'A Philosophical Perspective on Alhazen's Optics', Arabic Sciences and Philosophy 15 (2005), 189–218
3. ↑ Alhacen (2001). Smith, A. Mark. ed. 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 Version of Ibn al-Haytham's "Kitāb al-Manāẓir". Vol. 1: Introduction and Latin text; Vol. 2: English translation. Philadelphia: American Philosophical Society. ISBN 0-87169-914-1. OCLC 47168716.
4. ↑ 4.0 4.1 (Smith 2001)
5. ↑ Euclid's Optics
6. ↑ 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 86(2) (1996) via JSTOR
* Smith, A. Mark (1999) Ptolemy and the Foundations of Ancient Mathematical Optics: A Source Based Guided Study Transactions of the American Philosophical Society New Series, 89(3) (1999) via JSTOR
7. ↑ 7.0 7.1 7.2 Lindberg, David C. (1992). The Beginnings of Western Science. Chicago: The University of Chicago Press. ISBN 9780226482316. https://archive.org/details/beginningsofwest00lind.
8. ↑ 8.0 8.1 8.2 8.3 8.4 8.5 8.6 8.7 "Complete Dictionary of Scientific Biography". Ibn Al-Haytham, Abū ʿAlī Al-Ḥasan Ibn Al-Ḥasan. Gale Virtual Reference Library. http://go.galegroup.com/ps/retrieve.do?sgHitCountType=None&sort=RELEVANCE&inPS=true&prodId=GVRL&userGroupName=norm94900&tabID=T003&searchId=R1&resultListType=RESULT_LIST&contentSegment=&searchType=AdvancedSearchForm&currentPosition=1&contentSet=GALE|CX2830901904&&docId=GALE|CX2830901904&docType=GALE.
9. ↑ "Ibn Al-Haytham, Abū". HighBeam Research. http://www.encyclopedia.com/doc/1G2-2830901904.html.
10. ↑ Osler, Margaret J. (2010). Reconfiguring the World. Baltimore: The Johns Hopkins University Press. p. 103.
11. ↑ Smith, A. Mark (2004). "What is the History of Medieval Optics Really About?". http://www.amphilsoc.org/sites/default/files/480202.pdf.
12. ↑ A detailed study on Ibn al-Haytham's theory of colors is noted in: Nader El-Bizri, '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.
13. ↑ Refer to: Nader El-Bizri, '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.
14. ↑ Crombie, A. C. (1971), Robert Grosseteste and the Origins of Experimental Science, 1100 - 1700, Oxford: Clarendon Press, p. 147
15. ↑ David Lindberg, Mark Smith and 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 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 978-1-409400-24-0. https://archive.org/details/renaissancetheor00hend.
* Nader El-Bizri, 'Seeing Reality in Perspective: The Art of 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
16. ↑ Cite error: Invalid `<ref>` tag; no text was provided for refs named `Risner`

* v
* t
* e

Mathematics in medieval Islam

Mathematicians|

| 9th century|

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

|

10th century|

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

11th century|

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

12th century|

* Abu al-Salt
* Avempace
* Jabir ibn Aflah
* Al-Kharaqī
* Al-Khazini
* Al-Samawal al-Maghribi
* al-Hassar
* Sharaf al-Dīn al-Ṭūsī
* Ismail al-Jazari
* Ibn al-Yasamin
* Siraj ud-Din Muhammad ibn Abd ur-Rashid Sajawandi

13th century|

* Ibn al‐Ha'im al‐Ishbili
* Ahmad al-Buni
* Ibn Munim
* Alam al-Din al-Hanafi
* Ibn 'Adlan
* al-Urdi
* Nasir al-Din al-Tusi
* al-Abhari
* Muhyi al-Dīn al-Maghribī
* al-Hasan al-Marrakushi
* Qutb al-Din al-Shirazi
* Shams al-Dīn al-Samarqandī
* Ibn al-Banna'
* Kamāl al-Dīn al-Fārisī

14th century|

* Nizam al-Din Nishapuri
* Ibn Shuayb
* Ibn al-Shatir
* Ibn al-Durayhim
* Al-Khalili
* Ahmad al-Qalqashandi
* al-Umawi

15th century|

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

16th century|

* Al-Birjandi
* Muhammad Baqir Yazdi
* Taqi ad-Din
* Ibn Hamza al-Maghribi
* 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
* Indian mathematics

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