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117:, although the contents are a mixture of work dating from Euclid's time together with work which dates to the Roman period. It has been argued that the book may have been compiled by the 4th century mathematician
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132:, this work concerns the practical application of mirrors for visual effects. In the Middle Ages, this work was falsely ascribed to
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121:. The book covers the mathematical theory of mirrors, particularly the images formed by plane and spherical concave mirrors.
166:, who cites him by name. His research in catoptrics (the study of optical systems using mirrors) centred on spherical and
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198:' writings on optics, and his legacy was further advanced through the 'reforming' of his
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321:"Henry George Liddell, Robert Scott, An Intermediate Greek-English Lexicon, κάτοπτρον"
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162:), exerted a great influence on Western science: for example, on the work of
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561:"Ibn Al-Haitham: Master of Optics, Mathematics, Physics and Medicine"
114:
79:
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137:
72:
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308:
A Concise
Dictionary of the English and Modern Greek Languages
604:
Roger Bacon and the
Origins of Perspectiva in the Middle Ages
190:. His work on catoptrics also contains the problem known as "
59:
46:
531:
Medieval
Science, Technology, and Medicine: An Encyclopedia
389:
Ptolemy and the
Foundations of Ancient Mathematical Optics
174:. He made the observation that the ratio between the
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529:(2005b), "Ibn al-Haytham", in Wallis, Faith (ed.),
490:(2005a), "A Philosophical Perspective on Alhazen's
27:
Study of the relationship between light and mirrors
391:, pages 16-17. American Philosophical Society.
182:does not remain constant, and investigated the
34:Light path of a Newtonian (catoptric) telescope
626:
310:by Antonius Nicholas Jannaris, 1895 J. Murray
8:
451:
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1409:
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354:
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567:(November–December 2004), archived from
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241:exhibited in telescopes using lenses as
370:MacTutor History of Mathematics Archive
300:
1662:Latin translations of the 12th century
82:. A catoptric system is also called a
67:"mirror") deals with the phenomena of
1392:Straightedge and compass construction
407:
7:
1357:Incircle and excircles of a triangle
25:
585:A Source Book in Medieval Science
1874:
1861:
419:Opticae Thesaurus Alhazen Arabis
237:as a solution to the problem of
152:'s (Ibn al-Haytham) main work,
101:is the title of two texts from
1694:A History of Greek Mathematics
1207:The Quadrature of the Parabola
496:Arabic Sciences and Philosophy
225:The first practical catoptric
206:(d. ca. 1320) in the latter's
1:
559:Dr. Al Deek, Mahmoud (2004),
194:". Alhazen's work influenced
113:. This book is attributed to
1475:Intersecting secants theorem
588:, Harvard University Press,
279:Image-forming optical system
1470:Intersecting chords theorem
1337:Doctrine of proportionality
602:Lindberg, David C. (1996),
1922:
1166:On the Sphere and Cylinder
1119:On the Sizes and Distances
504:Cambridge University Press
378:, accessed 31 January 2013
60:
47:
1868:Ancient Greece portal
1857:
1672:Philosophy of mathematics
1642:
1587:Ptolemy's table of chords
642:Ancient Greek mathematics
533:, New York & London:
512:10.1017/S0957423905000172
417:has also been denoted as
1539:Aristarchus's inequality
1112:On Conoids and Spheroids
375:University of St Andrews
346:accessed 23 October 2007
136:. It only survives in a
1647:Ancient Greek astronomy
1460:Inscribed angle theorem
1450:Greek geometric algebra
1105:Measurement of a Circle
387:A. Mark Smith, (1999),
342:by J. B. Calvert, 2000
274:List of telescope types
208:Kitab Tanqih al-Manazir
1881:Mathematics portal
1667:Non-Euclidean geometry
1622:Mouseion of Alexandria
1495:Tangent-secant theorem
1445:Geometric mean theorem
1430:Exterior angle theorem
1425:Angle bisector theorem
1129:On Sizes and Distances
582:Grant, Edward (1974),
204:Kamal al-Din al-Farisi
35:
1569:Pappus's area theorem
1505:Theorem of the gnomon
1382:Quadratrix of Hippias
1305:Circles of Apollonius
1253:Problem of Apollonius
1231:Constructible numbers
1055:Archimedes Palimpsest
441:, p. 11), passim
202:by Persian scientist
109:The Pseudo-Euclidean
33:
1785:prehistoric counting
1582:Ptolemy's inequality
1523:Apollonius's theorem
1362:Method of exhaustion
1332:Diophantine equation
1322:Circumscribed circle
1139:On the Moving Sphere
361:Robertson, Edmund F.
239:chromatic aberration
221:Catoptric telescopes
172:spherical aberration
1871: •
1677:Neusis construction
1597:Spiral of Theodorus
1490:Pythagorean theorem
1435:Euclidean algorithm
1377:Lune of Hippocrates
1246:Squaring the circle
1002:Theon of Alexandria
677:Aristaeus the Elder
537:, pp. 237–40,
359:O'Connor, John J.;
231:Newtonian reflector
119:Theon of Alexandria
54:, "specular", from
1564:Menelaus's theorem
1554:Irrational numbers
1367:Parallel postulate
1342:Euclidean geometry
1310:Apollonian circles
852:Isidore of Miletus
176:angle of incidence
130:Hero of Alexandria
36:
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1887:
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1605:
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1592:Ptolemy's theorem
1465:Intercept theorem
1315:Apollonian gasket
1241:Doubling the cube
1214:The Sand Reckoner
606:, Clarendon Press
595:978-0-674-82360-0
269:Optical telescope
192:Alhazen's problem
146:Latin translation
16:(Redirected from
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1627:Platonic Academy
1574:Problem II.8 of
1544:Crossbar theorem
1500:Thales's theorem
1440:Euclid's theorem
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1327:Commensurability
1288:Axiomatic system
1236:Angle trisection
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1387:Regular polygon
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571:on 2008-06-17
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1768:mathematics
1576:Arithmetica
1173:Ostomachion
1142:(Autolycus)
1061:Arithmetica
837:Hippocrates
767:Dinostratus
752:Dicaearchus
682:Aristarchus
506:: 189–218,
427:Perspectiva
186:power of a
164:Roger Bacon
52:katoptrikós
48:κατοπτρικός
1895:Categories
1820:Babylonian
1720:arithmetic
1686:History of
1515:Apollonius
1200:(Menelaus)
1159:On Spirals
1078:Catoptrics
1017:Xenocrates
1012:Thymaridas
997:Theodosius
982:Theaetetus
962:Simplicius
952:Pythagoras
937:Posidonius
922:Philonides
882:Nicomachus
877:Metrodorus
867:Menaechmus
822:Hipparchus
812:Heliodorus
762:Diophantus
747:Democritus
727:Chrysippus
697:Archimedes
692:Apollonius
662:Anaxagoras
654:(timeline)
575:2013-09-04
413:notes the
408:Grant 1974
397:0871698935
326:2015-03-13
295:References
243:objectives
184:magnifying
180:refraction
126:Catoptrics
111:Catoptrics
99:Catoptrics
39:Catoptrics
1281:Inscribed
1041:Treatises
1032:Zenodorus
992:Theodorus
967:Sosigenes
912:Philolaus
897:Oenopides
892:Nicoteles
887:Nicomedes
847:Hypsicles
742:Ctesibius
732:Cleomedes
717:Callippus
702:Autolycus
687:Aristotle
667:Anthemius
553:218847614
535:Routledge
520:123057532
259:Dioptrics
227:telescope
168:parabolic
65:katoptron
61:κάτοπτρον
18:Catoptric
1845:Japanese
1830:Egyptian
1773:timeline
1761:timeline
1749:timeline
1744:geometry
1737:timeline
1732:calculus
1725:timeline
1713:timeline
1416:Elements
1262:Concepts
1224:Problems
1197:Spherics
1187:Spherics
1152:(Euclid)
1098:(Euclid)
1095:Elements
1088:(Euclid)
1049:Almagest
957:Serenus
932:Porphyry
872:Menelaus
827:Hippasus
802:Eutocius
777:Domninus
672:Archytas
253:See also
247:dioptric
196:Averroes
88:catoptre
84:catopter
1906:Mirrors
1825:Chinese
1780:numbers
1708:algebra
1636:Related
1610:Centers
1406:Results
1276:Central
947:Ptolemy
942:Proclus
907:Perseus
862:Marinus
842:Hypatia
832:Hippias
807:Geminus
797:Eudoxus
787:Eudemus
757:Diocles
344:Duke U.
150:Alhazen
134:Ptolemy
124:Hero's
80:mirrors
1901:Optics
1840:Indian
1617:Cyrene
1149:Optics
1068:Conics
987:Theano
977:Thales
972:Sporus
917:Philon
902:Pappus
792:Euclid
722:Carpus
712:Bryson
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492:Optics
395:
229:(the "
215:Optics
200:Optics
115:Euclid
78:using
41:(from
1835:Incan
1756:logic
1532:Other
1300:Chord
1293:Axiom
1271:Angle
927:Plato
817:Heron
737:Conon
516:S2CID
502:(2),
421:, as
411:p.392
138:Latin
56:Greek
43:Greek
1797:list
1085:Data
857:Leon
707:Bion
590:ISBN
549:OCLC
539:ISBN
393:ISBN
188:lens
178:and
144:The
71:and
1699:by
1413:In
508:doi
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148:of
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