1. THABIT IBN QURRA THABIT IBN QURRA. (836901 AD). Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harraniwas born in the year 836 AD at Harran (present Turkey). http://members.tripod.com/~wzzz/QURRA.html

Get Five DVDs for $.49 each. Join now. Tell me when this page is updated THABIT IBN QURRA (836-901 A.D.) Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani was born in the year 836 A.D. at Harran (present Turkey). As the name indicates he was basically a member of the Sabian sect, but the great Muslim mathematician Muhammad Ibn Musa Ibn Shakir, impressed by his knowledge of languages, and realising his potential for a scientific career, selected him to join the scientific group at Baghdad that was being patronised by the Abbasid Caliphs. There, he studied under the famous Banu Musa brothers. It was in this setting that Thabit contributed to several branches of science, notably mathematics, astronomy and mechanics, in addition to translating a large number of works from Greek to Arabic. Later, he was patronised by the Abbasid Caliph al-M'utadid. After a long career of scholarship, Thabit died at Baghdad in 901 A.D. Thabit's major contribution lies in mathematics and astronomy. He was instrumental in extending the concept of traditional geometry to geometrical algebra and proposed several theories that led to the development of non-Euclidean geometry, spherical trigonometry, integral calculus and real numbers. He criticised a number of theorems of Euclid's elements and proposed important improvements. He applied arithmetical terminology to geometrical quantities, and studied several aspects of conic sections, notably those of parabola and ellipse. A number of his computations aimed at determining the surfaces and volumes of different types of bodies and constitute, in fact, the processes of integral calculus, as developed later.

2. THABIT IBN QURRA THABIT IBN QURRA. (836901 CE). Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harraniwas born in the year 836 CE at Harran (present Turkey). http://www.ummah.org.uk/history/scholars/QURRA.html

3. THABIT IBN QURRA THABIT IBN qurra thabit ibn Qurra Ibn Marwan alSabi al-Harrani was born in the year 836 C.E. at Harran (present Turkey). http://www.ummah.net/history/scholars/QURRA.html

4. Philosophers : Thabit Ibn Qurra Thabit Ibn Qurra. Iranian Muslim Philosopher. 836901. Thabit Ibn Qurra Ibn Marwanal-Sabi al-Harrani was born in the year 836 AD at Harran (present Turkey). http://www.trincoll.edu/depts/phil/philo/phils/muslim/qurra.html

Thabit Ibn Qurra Iranian Muslim Philosopher Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani was born in the year 836 A.D. at Harran (present Turkey). As the name indicates he was basically a member of the Sabian sect, but the great Muslim mathematician Muhammad Ibn Musa Ibn Shakir, impressed by his knowledge of languages, and realising his potential for a scientific career, selected him to join the scientific group at Baghdad that was being patronised by the Abbasid Caliphs. There, he studied under the famous Banu Musa brothers. It was in this setting that Thabit contributed to several branches of science, notably mathematics, astronomy and mechanics, in addition to translating a large number of works from Greek to Arabic. Later, he was patronised by the Abbasid Caliph al-M'utadid. After a long career of scholarship, Thabit died at Baghdad in 901 A.D. Thabit's major contribution lies in mathematics and astronomy. He was instrumental in extending the concept of traditional geometry to geometrical algebra and proposed several theories that led to the development of non-Euclidean geometry, spherical trigonometry, integral calculus and real numbers. He criticised a number of theorems of Euclid's elements and proposed important improvements. He applied arithmetical terminology to geometrical quantities, and studied several aspects of conic sections, notably those of parabola and ellipse. A number of his computations aimed at determining the surfaces and volumes of different types of bodies and constitute, in fact, the processes of integral calculus, as developed later.

5. Philosophers Thabit Ibn Qurra Thabit Ibn Qurra. Muslim Philosopher. 836901. Thabit Ibn Qurra Ibn Marwan al-Sabial-Harrani was born in the year 836 AD at Harran (present Turkey). http://users.rcn.com/cmarvin/philo/phils/muslim/qurra.html

6. THABIT IBN QURRA THABIT IBN QURRA (836901 CE). Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harraniwas born in the year 836 CE at Harran (present Turkey). http://aphy.ku.edu.pk/resources/res2001/nadianmajeed/qurra.htm

THABIT IBN QURRA (836-901 C.E.) Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani was born in the year 836 C.E. at Harran (present Turkey). As the name indicates he was basically a member of the Sabian sect, but the great Muslim mathematician Muhammad Ibn Musa Ibn Shakir, impressed by his knowledge of languages, and realising his potential for a scientific career, selected him to join the scientific group at Baghdad that was being patronised by the Abbasid Caliphs. There, he studied under the famous Banu Musa brothers. It was in this setting that Thabit contributed to several branches of science, notably mathematics, astronomy and mechanics, in addition to translating a large number of works from Greek to Arabic. Later, he was patronised by the Abbasid Caliph al-M'utadid. After a long career of scholarship, Thabit died at Baghdad in 901 C.E. Thabit's major contribution lies in mathematics and astronomy. He was instrumental in extending the concept of traditional geometry to geometrical algebra and proposed several theories that led to the development of non-Euclidean geometry, spherical trigonometry, integral calculus and real numbers. He

7. Geometry Connects Lesson 1 A Close Look At The Pythagorean Activity 3 Bhaskara's Similarity Proof Thabit ibn qurra thabit ibn Qurrawas born in 826 AD in Harran, Mesopotamia and died in 901 in Bagdad. http://www.math.vt.edu/people/hagen/Registration/GCLesson1.html

Week 1 Pythagorean Theorem Tues, 01/23 Faculty:   Susan Hagen/Lynn Reed Location:   GE 2 Channel 24  Math 5614 Geometry Investigations Introduction Course Syllabus By Date ... Return Topic:  Lesson 1: A Close Look at the Pythagorean Theorem Standards of Learning Pre-Class Assignments Class Activities Assignments ... References Standards of Learning G.7 The student will solve practical problems involving right triangles by using the Pythagorean Theorem and its converse, properties of special right triangles, and right triangle trigonometry. Calculators will be used to solve problems and find decimal approximations for the solutions Top Pre-Class Assignments Be sure to Download the following Class activities. You may either download one file with all activities: Lesson 1 Activities (Note this file contains 11 pages) or continue on below where we list each activity separately with a description. Geometer's Sketchpad This file walks through the basics of using the Geometer's Sketchpad. After completing these exercises, on your own, try the assignments listed in the assignment area below. Sketchpad #1 The Pythagorean Theorem In this lesson, Lynn will take an historical, multicultural approach to the Pythagorean Theorem, looking at different proofs completed by different mathematicians at different times in different parts of the world. We have separated each proof activity into a different file.

8. Thabit Gives information on background and contributions to non-euclidean geometry, spherical trigonometry, Category Science Math History People......AlSabi thabit ibn qurra al-Harrani. Born 826 thabit ibn qurra wasa native of Harran and a member of the Sabian sect. The Sabian http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thabit.html

Al-Sabi Thabit ibn Qurra al-Harrani Born: 826 in Harran, Mesopotamia (now Turkey) Died: 18 Feb 901 in Baghdad, (now in Iraq) Click the picture above to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Thabit ibn Qurra was a native of Harran and a member of the Sabian sect. The Sabian religious sect were star worshippers from Harran often confused with the Mandaeans (as they are in [1]). Of course being worshipers of the stars meant that there was strong motivation for the study of astronomy and the sect produced many quality astronomers and mathematicians. The sect, with strong Greek connections, had in earlier times adopted Greek culture, and it was common for members to speak Greek although after the conquest of the Sabians by Islam, they became Arabic speakers. There was another language spoken in southeastern Turkey, namely Syriac, which was based on the East Aramaic dialect of Edessa. This language was Thabit ibn Qurra's native language, but he was fluent in both Greek and Arabic. Some accounts say that Thabit was a money changer as a young man. This is quite possible but some historians do not agree. Certainly he inherited a large family fortune and must have come from a family of high standing in the community.

9. Al Sabi Thabit Ibn Qurra Al Harrani Resumos de biografias de personalidades da historia da humanidade artistas, cientistas, engenheiros, escritores, governos, inventores, medicos, etc. http://www.sobiografias.hpg.ig.com.br/AlHarani.html

Al-Sabi Thabit ibn Qurra al-Harrani Califa al-Mu'tadid Os Elementos de Euclides Arquimedes Papus Concerning the Motion of the Eighth Sphere Kitab fi'l-qarastun Gerard de Cremona Sinan ibn Thabit , e seu neto, Ibrahim ibn Sinan ibn Thabit Figura copiada do site TURNBULL WWW SERVER: http://www-history.mcs.st-andrews.ac.uk/ Nova B U S C A :

10. Ibn Qurra ibn qurra. thabit ibn qurra ibn Marwan Al Sabi Al Harrani nasceu no ano 836 em Harran (Turquia), ele foi aluno de um http://www.islam.org.br/ibn_qurra.htm

Em Nome de Deus, O Clemente, O Misericordioso! Thabit Ibn Qurra Ibn Marwan Al Sabi Al Harrani IBN QURRA Thabit Ibn Qurra Ibn Marwan Al Sabi Al Harrani nasceu no ano 836 em Harran (Turquia), ele foi aluno de um grande matemático muçulmano Muhammad Ibn Musa Ibn Shakir, ampliou o seu conhecimento em línguas, o que ajudou a aumentar o seu potencial para a carreira científica, foi selecionado junto com um grupo para estudos científicos em Bagda, convidado pelo Califa Abássida. Lá, estudou com os famosos irmãos Banu Musa, Thabit Ibn Qurra, contribuiu com diversos ramos da ciência, notavelmente com a matemática, astronomia e mecânica, além a traduzir um grande número trabalhos do grego para o árabe. Mais tarde, foi contratado pelo Califa Abássida Al M'utadid, após uma longa carreira, Thabit Ibn Qurra, morreu em Bagda em 901. A principal contribuição de Thabit Ibn Qurra, encontra-se na matemática e na astronomia, estendeu o conceito da geometria tradicional a álgebra geométrica e propôs diversas teorias que conduziu ao desenvolvimento da geometria, o trigonometria esférica, o cálculo integral e números reais. Criticou um número de teoremas de elementos de Euclides e propôs melhorias importantes, aplicou a terminologia aritmética às quantidades geométricas, e estudou diversos aspectos de seções cônicas.

11. Sinan Sinan ibn thabit ibn qurra. Abu Said Sinan ibn thabit ibn qurra ( né en 880 environ, mort en 943 à Bagdad, (en Iraq) http://www.multimania.com/alkashi/sinan.htm

Sinan ibn Thabit ibn Qurra Abu Said Sinan ibn Thabit ibn Qurra né en 880 environ, mort en 943 à Bagdad, (en Iraq) Sinan ibn Thabit ibn Qurra était le fils de Thabit ibn Qurra et le père de Ibrahim ibn Sinan . Bien que Sinan était extrêmement éminent en médecine ses contributions aux mathématiques étaient moins importantes mais il mérite une place dans cet archive par ses contributions aux mathématiques dans cette remarquable famille de savants. Thabit ibn Qurra , le père de Sinan , était un membre de la secte Sabienne (à Harran )qui vénérait les étoiles. Bien sur son père était motivé par l'étude de l'astronomie et la secte avait produit beaucoup d'astronomes et mathématiciens de qualité comme Thabit lui même. Sinan s'était formé en médecine, une discipline qui avec son père avaient étudié à Bagdad. Le patron de son père était le Calife, Al-Mu'tadid , un des plus grands califes Abbassit , et Sinan avait grandit dans la court où son père était astronome. Le père de Sinan, Thabit mourut en 901 le calife Al-Mu'tadid mourut l'année suivante.

12. Thabit thabit ibn qurra was a native of Harran and a member of the Sabian sect. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Thabit.html

Al-Sabi Thabit ibn Qurra al-Harrani Born: 826 in Harran, Mesopotamia (now Turkey) Died: 18 Feb 901 in Baghdad, (now in Iraq) Click the picture above to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Thabit ibn Qurra was a native of Harran and a member of the Sabian sect. The Sabian religious sect were star worshippers from Harran often confused with the Mandaeans (as they are in [1]). Of course being worshipers of the stars meant that there was strong motivation for the study of astronomy and the sect produced many quality astronomers and mathematicians. The sect, with strong Greek connections, had in earlier times adopted Greek culture, and it was common for members to speak Greek although after the conquest of the Sabians by Islam, they became Arabic speakers. There was another language spoken in southeastern Turkey, namely Syriac, which was based on the East Aramaic dialect of Edessa. This language was Thabit ibn Qurra's native language, but he was fluent in both Greek and Arabic. Some accounts say that Thabit was a money changer as a young man. This is quite possible but some historians do not agree. Certainly he inherited a large family fortune and must have come from a family of high standing in the community.

13. References For Thabit EA Moody and M Clagett (eds.), The medieval science of weights, Treatises ascribedto Euclid, Archimedes, thabit ibn qurra, Jordanus de Nemore, and Blasius of http://www-gap.dcs.st-and.ac.uk/~history/References/Thabit.html

References for Thabit Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: F J Carmody, The Astronomical Works of Thabit b. Qurra (Berkeley-Los Angeles, 1960). F J Carmody, Thabit b. Qurra, Four Astronomical Tracts in Latin (Berkeley, Calif., 1941). E A Moody and M Clagett (eds.), The medieval science of weights, Treatises ascribed to Euclid, Archimedes, Thabit ibn Qurra, Jordanus de Nemore, and Blasius of Parma (Madison, Wis., 1952). R Rashed, The development of Arabic mathematics : between arithmetic and algebra (London, 1994). R Rashed, (Paris, 1984). Articles: C B Boyer, Clairaut le Cadet and a theorem of Thabit ibn Qurra, Isis S Brentjes and J P Hogendijk, Notes on Thabit ibn Qurra and his rule for amicable numbers, Historia Math. F J Carmody, Notes on the astronomical works of Thabit b. Qurra, Isis Y Dold-Samplonius, The 'Book of assumptions', by Thabit ibn Qurra (836-901), in History of mathematics (San Diego, CA, 1996), 207-222. H Hadifi, Thabit ibn Qurra's 'al-Mafrudat' (Arabic)

14. Ummah.com Print_a Science Feature Muslim Scientists thabit ibn qurra (836 CE) thabit ibn qurra ibn Marwan alSabial-Harrani was born in the year 836 CE at Harran (present Turkey). http://www.ummah.org.uk/science/printscfeature.php?scfid=13

15. Muslim Scientists And Thinkers Jabir ibn Haiyan (Died 803 AD), Mohammad Bin Musa (840 AD), Yaqub ibn Ishaq alKindi(800 AD), thabit ibn qurra (836 AD), Ali ibn Rabban al-Tabari (838 AD). http://members.tripod.com/hasnolzamzam/scientist.html

Muslim Scientists and Thinkers Jabir Ibn Haiyan (Died 803 A.D.) Mohammad Bin Musa (840 A.D.) Yaqub Ibn Ishaq al-Kindi (800 A.D.) Thabit Ibn Qurra (836 A.D.) Ali Ibn Rabban al-Tabari (838 A.D.) Abu Abdullah al-Battani (858 A.D.) Al-Farghani (860 A.D.) Mohammad Ibn Zakariya al-Razi (864 A.D.) Abu al-Nasr al-Farabi (870 A.D.) Abul Hasan Ali al-Masu'di (957 A.D.) Abu al-Qasim al-Zahrawi (936 A.D.) Abul Wafa Muhammad al-Buzjani (940 A.D.) Abu Ali Hasan Ibn al-Haitham (965 A.D.) Abu al-Hasan al-Mawardi (972 A.D.) Abu Raihan al-Biruni (973 A.D.) Ibn Sina 980 (A.D.) Omar al-Khayyam 1044 (A.D.) Abu Hamid al-Ghazali (1058 A.D.) Abu Marwan Ibn Zuhr (1091 A.D.) Al-Idrisi (1099 A.D.) Ibn Rushd (1128 A.D.) Ibn al-Baitar (1248 A.D.) Nasir al-Din al-Tusi (1201 A.D.) Jalal al-Din Rumi (1207 A.D.) Ibn al-Nafis (1213 A.D.) Ibn Khaldun (1332 A.D.) Main Page Afghanistan Islamic Unity About Islam ... Muslim Personalities

16. Ibrahim Biography of Ibrahim ibn Sinan (908946) Ibrahim ibn Sinan ibn thabit ibn qurra. Born 908 in Baghdad, (now in Iraq) http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Ibrahim.html

Ibrahim ibn Sinan ibn Thabit ibn Qurra Born: 908 in Baghdad, (now in Iraq) Died: 946 in Baghdad, (now in Iraq) Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Ibrahim ibn Sinan was a grandson of Thabit ibn Qurra and studied geometry and in particular tangents to circles. He also studied the apparent motion of the Sun and the geometry of shadows. There is no doubt that had he not died at the young age of thirty-eight, he would have achieved a degree of fame for his mathematical works going even beyond the opinion of Sezgin (see [5] and [6]) that he was:- ... one of the most important mathematicians in the medieval Islamic world. Perhaps his early death robbed him of the chance to make a contribution even more important than that of his famous grandfather. Ibrahim's most important work was on the quadrature of the parabola where he introduced a method of integration more general than that of Archimedes . His grandfather Thabit ibn Qurra had started to view integration in a different way to Archimedes but Ibrahim realised that al-Mahani had made improvements on what his father had achieved. To Ibrahim it was unacceptable that (see for example [1]):-

17. Thabit Ibn Qurrah Al-Harrani (826-901) Library Of Congress 901 Abul-Khasan Sabit ibn Korra al-Kharrani, d. 901 thabit ibn qurra, d. 901 Notes His Matematicheskie traktaty, http://www.mala.bc.ca/~mcneil/cit/citlcqurra.htm

Thabit ibn Qurrah al-Harrani (826-901) : Library of Congress Citations The Little Search Engine that Could Down to Name Citations National Library of Canada LC Online Catalog ... Free Email from Malaspina Book Citations [4 Records] Author: Thabit ibn Qurrah al-Harrani, d. 901. Uniform Title: Selections. Russian. 1984 Title: Matematicheskie traktaty / Sabit ibn Korra ; sostavitel' B.A. Rozenfel'd ; otvetstvennyfi redaktor toma A.P. kIlUshkevich. Published: Moskva : Izd-vo "Nauka", 1984. Description: 391 p. : ill. ; 27 cm. Series: Nauchnoe nasledstvo ; t. 8 LC Call No.: Q60 .N3 t. 8 QA27.A67 ISBN: 6.30rub Notes: Translations from the Arabic by B.A. Rozenfel'd et al. Includes index. Bibliography: p. 382-[385]. Subjects: Mathematics, Arab. Other authors: Rozenfel'd, B. A. (Boris Abramovich) kIlUshkevich, A. P. (Adol'f Pavolovich) Control No.: 84217609 //r933 Author: Thabit ibn Qurrah al-Harrani, d. 901. Uniform Title: A0dead al-mutarhabbah. Title: Kiteab al-A0dead al-mutarheabbah / li-Thabit ibn Qurrah ; tarhqeiq Arhmad Sa0eidean. Published: [Amman : s.n., 1977] ([S.l.] : Marteabi0 Dear al-Sha0b) Description: 56 p. ; 24 cm. LC Call No.: QA242 .T45 1977 Notes: Title on p. [4] of cover: Amicable numbers. "Tishrein al-Awwal 1977." Includes bibliographical references (p. 30-31). Subjects: Amicable numbers Early works to 1800. Other authors: Saidan, A. S. Other titles: A0dead al-mutarhabbah. Amicable numbers. Control No.: 87963184 /NE

18. Sinan Abu Said Sinan ibn thabit ibn qurra. Born about 880 http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Sinan.html

Abu Said Sinan ibn Thabit ibn Qurra Born: about 880 Died: 943 in Baghdad, (now in Iraq) Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Sinan ibn Thabit ibn Qurra was the son of Thabit ibn Qurra and the father of Ibrahim ibn Sinan . Although Sinan was extremely eminent in medicine his contributions to mathematics were somewhat less major but he still deserves a place in this archive as a contributor to mathematics in this remarkable family of scholars. Thabit ibn Qurra , Sinan's father, was a member of the Sabian sect. The Sabian religious sect were star worshippers from Harran. Of course being worshipers of the stars meant that there was strong motivation for the study of astronomy and the sect produced many quality astronomers and mathematicians such as Thabit himself. Sinan was trained in medicine, a topic which his father had studied in Baghdad. His father's patron was the Caliph, al-Mu'tadid, one of the greatest of the 'Abbasid caliphs, and Sinan was brought up at the court where his father held the role of court astronomer. Sinan's father Thabit died in 901 and the caliph al-Mu'tadid died the following year. Al-Mu'tadid had shown great skill in playing the various factions off against each other during his period of power but after his troops were defeated by the Qarmatians, a schismatic sect and political movement. Historians argue whether al-Mu'tadid was poisoned in a palace intrigue, but even if he was not this is an indication of the atmosphere in the court where Sinan lived. By this time Sinan was a man of about 22 years of age but, despite having great medical skills, he seems to have held no positions at this time.

19. Qurra thabit ibn qurra. thabit ibn qurra ibn Marwan alSabi al-Harrani nació en el año 836 C.E. http://members.es.tripod.de/Torbi/astronomiaenelmundoarabe/qurra.htm

Biografías Thabit Ibn Qurra Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani nació en el año 836 C.E. en Harran, Mesopotamia (la actual Turquía). Como su nombre indica fue un miembro de la secta Sabian. La secta religiosa Sabian eran devotos de las estrellas. Siendo este el motivo de que estuvieran tan interesados en el estudio de la astronomía. La secta produjo muchos astrónomos y matemáticos, teniendo una gran vinculación con el mundo griego. Al principio adoptaron la cultura griega y era muy normal que sus miembros hablaran en griego, aunque después de la conquista de los Sabians por el Islam hablaron en árabe. Había también otra lengua que se hablaba en el sureste de Turquía, la lengua siríaca , la cual estaba basada en el dialecto arameo de Edessa. Esta era la lengua nativa de Thabit ibn Qurra, aunque él hablara también griego y árabe. Es a causa de esto, que el gran matemático musulmán Muhamammad Ibn Musa Ibn Shakir, impresionado por sus conocimientos de lenguas y dándole la posibilidad de realizar una carrera científica, lo seleccionó para que se uniera al grupo científico de Bagdad, que estaba patrocinado por el Califato Abásida, y en concreto por el califa al-M'utadid. Allí estudió matemáticas y medicina, como era normal en la época, bajo los famosos hermanos Banu Musa . Cuando terminó de estudiar volvió a Harran, pero debido a sus ideas liberales filosóficas lo llevaron a ser considerado domo "hereje". Para escapar de la persecusión, dejó Harran y se fue otra vez a Bagdad, donde continuó con su grupo.

20. Al-Sabi Thabit Ibn Qurra Al-Harrani AlSabi thabit ibn qurra al-Harrani. Nascut l’any 826 a Harra,Mesopotamia. Mort 18 de feb de 901 a Bagdad. thabit ibn-qurra fou http://www.mallorcaweb.net/mamaguena/arabs/thabi/thabi.html

Al-Sabi Thabit ibn Qurra al-Harrani Nascut: l’any 826 a Harra, Mesopotamia Mort: 18 de feb de 901 a Bagdad En teoria de nombres Thabit treballa en nombres amics. Recordem que, si S(n) denota la suma dels divisors de n llevat de n , dos nombres n m S(n)=m i S(m)=n. Per ,siguin i . Si p n-1 p n , i q n a n p n-1 p n i b n q n A del triangle ABC rectes AB ’ i AC ’ tals que els angles AB B i AC ’C siguin iguals a l’angle A aleshores:

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

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