Mathematical instrumentation in fourteenth-century Egypt and Syria : the illustrated treatise of Najm al-Dīn al-Mīṣrī /

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Bibliographic Details
Author / Creator:	Charette, François, 1970-
Imprint:	Leiden ; Boston : Brill, 2003.
Description:	xxi, 422, 136 p. : ill. (some col.) ; 25 cm.
Language:	English Arabic
Series:	Islamic philosophy, theology, and science, 0169-8729 ; v. 51
Subject:	Astrolabes -- Egypt -- History. Astrolabes -- Syria -- History. Sundials -- Egypt -- History. Sundials -- Syria -- History. Quadrants (Astronomical instruments) -- Egypt -- History. Quadrants (Astronomical instruments) -- Syria -- History. Astrolabes. Quadrants (Astronomical instruments) Sundials. Egypt. Syria. History.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/4973554

Hidden Bibliographic Details
Other uniform titles:	Miṣrī, Muḥammad ibn Muḥammad, 14th cent. Kitāb fī al-ālāt al-falakīyah. 2003.
ISBN:	9004130152 (acid-free paper)
Notes:	Includes bibliographical references (p. [375]-392) and indexes.

Table of Contents:

Part I.
1.. Introduction
1.1. Learning and miqat in Mamluk society
1.2. al-Marrakushi's encyclopaedia of miqat and instrumentation
1.3. Some fourteenth-century Mamluk authors on instrumentation
1.3.1. al-Maqsi
1.3.2. Ibn Samun
1.3.3. al-Mizzi
1.3.4. Ibn al-Sarraj
1.3.5. Ibn al-Shatir
1.3.6. Ibn al-Ghuzuli
1.3.7. al-Bakhaniqi
1.3.8. Taybugha al-Baklamishi and his son Ali
1.3.9. Important authors from the fifteenth century
1.4. Themes and incentives of Mamluk miqat literature
1.4.1. The interaction of folk and mathematical astronomies
1.4.2. Exact versus approximate methods
1.4.3. Universality
1.4.4. Auxiliary tables
1.4.5. The use of lists of formulae
1.4.6. Didactical concerns
1.5. Najm al-Din al-Misri
1.5.1. The authorship of the instrument treatise
1.5.2. Description of the manuscripts
1.5.3. A general appreciation of Najm al-Din's instrument treatise
1.5.4. Editorial remarks
1.6. Conventions used in the commentary
Part II. Commentary
2.. Astrolabes and Related Instruments
2.1. The standard planispheric astrolabe
2.1.1. Najm al-Din's numerical method for constructing astrolabe markings
2.1.2. A practical method for constructing astrolabic plates by means of timekeeping tables
2.1.3. Special plates and optional markings
2.2. Astrolabes in three and one dimensions
2.2.1. The spherical astrolabe
2.2.2. The linear astrolabe
2.3. Non-standard planispheric astrolabes
2.3.1. Extended area of projection: the kamil astrolabe
2.3.2. The "solid" astrolabe
2.3.3. Mixed projections
2.3.4. Other types of retes
2.4. Astrolabic quadrants
2.4.1. Astrolabic quadrants with mixed projections
2.4.2. The musattar quadrant
2.5. Horizontal stereographic projection: the musatira
2.5.1. Najm al-Din's account
2.6. Universal Stereographic Projection
2.6.1. Historiographical remarks
2.6.2. The shakkaziyya plate
2.6.3. The zarqalliyya plate
2.6.4. Ali ibn Khalaf's universal astrolabe
2.6.5. Ibn Baso's universal plate
2.6.6. Najm al-Din's method of constructing universal plates
2.6.7. The quadrant versions of the universal plates
3.. Horary Quadrants and Portable Dials
3.1. Altitude dials
3.1.1. Horary quadrants with the altitude as the angular coordinate
3.1.2. Horary quadrants on which the altitude is entered in a non-standard way
3.1.3. Altitude sundials
3.2. Portable sundials displaying shadow lengths
3.2.1. Vertical dials
3.2.2. Horizontal dials using polar coordinates
3.3. Universal sundials based on the midday shadow
3.3.1. Universal halazun
3.3.2. Universal rectangular sundials on the Fazari balance
3.3.3. Universal sundial on a lunule, with straight hour-lines
3.4. Azimuthal dials
3.5. Representing the asr on various instruments
3.5.1. A simple disk with gnomon for finding the asr
3.5.2. Representing the asr in tropical latitudes
3.5.3. Two "locust's legs" with non-standard gnomons
3.5.4. Asr curves on sine quadrants
4.. Fixed Sundials
4.1. Historical introduction
4.2. Theoretical introduction
4.3. Najm al-Din's approach to gnomonics
4.3.1. Description of Najm al-Din's sundial tables
4.3.2. Horizontal sundials
4.3.3. Vertical sundials
4.3.4. Inclined sundials
4.3.5. Composite sundials on adjacent surfaces
4.4. Miscellaneous three-dimensional sundials
4.4.1. Hemispherical sundials
4.4.2. Staircase sundial
5.. Trigonometric Instruments
5.1. The sine quadrant and the dastur
5.2. Universal horary quadrants
5.3. The quadrant with harp markings
5.3.1. Al-Marrakushi's 'figure for finding the hour-angle'
5.3.2. Najm al-Din's version
5.4. The shakkazi quadrant as a trigonometric grid
6.. Miscellaneous Instruments
6.1. Observational instruments
6.2. The Fazari balance
6.3. The badahanj
6.4. The mubakkash
Part III. Translation of Najm al-Din al-Misri's Treatise on Instruments Introductory chapters
1. On the construction of the altitude circles of northern astrolabes
2. The altitude circles of the southern astrolabe
3. The quadrants that are related to the astrolabes mentioned
4. The quadrant with azimuth lines called 'the candied sugar'
5. The complete northern astrolabe
6. The complete southern astrolabe
7. The complete astrolabic quadrants
8. The spiral astrolabe
9. The rumi astrolabe called the shajjariyya
10. The universal astrolabe invented in Mecca
11. The cruciform astrolabe
12. The crab astrolabe, which is named after the construction of its rete
13. The northern 'counterbalancing' astrolabe
14. The myrtle astrolabe, which is (also the plate of) the drum one, each of them having its own rete
15. The (complete) south-north astrolabe, without having to be concerned with looking at the rete
16. The anemone astrolabe and its rete
17. The solid astrolabe
18. The skiff astrolabe
19. The jar astrolabe
20. The bull astrolabe
21. The tortoise astrolabe
22. The buffalo astrolabe
23. The cup astrolabe
24. The melon astrolabe
25. The spherical astrolabe
26. (The plate of) the horizons, which is called the universal one
27. The frog astrolabe, invented (by the author)
28. The eagle astrolabe, invented (by the author)
29. The zarqalliyya
30. The observational astrolabe, that is the armillary sphere
31. The azimuth circle
32. The mubakkash
33. The southern 'counterbalancing' astrolabe
34. The scorpion astrolabe, related to the construction of its rete
35. The diverging (mutadakhil mutakhalif) astrolabe
36. The fitting (mutadakhil mutawafiq) astrolabe
37. The crescent astrolabe
38. The ruler astrolabe
39. The shakkaziyya
40. The shakkaziyya quadrant
41. The zarqalliyya quadrant
42. The spiral astrolabic quadrant
43. The universal astrolabic quadrant
44. The counterbalancing astrolabic quadrant
45. The myrtle astrolabic quadrant, which is (also) the drum astrolabic quadrant
46. The skiff astrolabic quadrant
47. The tortoise astrolabic quadrant
48. The bull astrolabic quadrant
49. The jar astrolabic quadrant
50. The azimuthal astrolabic quadrant
51. The seasonal and equal hours (on astrolabic plates)
52. The equal hours with another method
53. The diurnal musatira
54. The nocturnal musatira
55. The musattar quadrant
56. The quadrant with harp markings
57. The universal horary quadrant
58. The sine quadrant
59. The (instrument) with the two branches
60. The dastur
61. The sundial based on the midday shadow
62. The seasonal hours based on midday shadows, by another method
63. The universal sundial designed in terms of meridian altitude
64. The conical sundial and the universal locust's leg
65. The astrolabic quadrant for latitude 48[degree], which is the end of the inhabited countries
66. An horary (quadrant) whose sixth (hour-line) has the (same) width as its first one, each of them having a uniform width
67. The seasonal hours (of an horary quadrant) for a specific altitude
68. The hours (of an horary quadrant) called 'hours of the chord'
69. The seasonal hours (of an horary quadrant), called 'hours of the harp' (junk)
70. The hours (of an horary quadrant), called 'hours with the branches'
71. The hours (of an horary quadrant), called 'hours with the nonagesimal (scale)'
72. The hours called 'hours with the bowed scale'
73. The hours with the circles of equation
74. The universal horary quadrant, which works approximately for all inhabited latitudes, that is from zero to 48[degree]
75. The hours with the square angle (al-zawiya)
76. Hour markings on the flat 'locust's leg' or on the circular conical dial, its gnomon being fixed
77. The arcs of the asr on the sine quadrants
78. The linear astrolabe
79. The horizontal sundial (with) the day-circles
80. The horizontal sundial bearing the altitude circles and the seasonal hours
81. The horizontal sundial with the hour-angles
82. The horizontal sundial with the equal hours
83. The shadow circle, with which one can determine the altitude and the azimuth (of the sun) at any time
84. The (instrument displaying) the time-arc as a function of the azimuth
85. (the sundial displaying) the time-arc as a function of the azimuth, with another design
86. The universal arc of the asr on the horizon, called the 'hoof'
87. The universal arc of the asr, movable on a vertical surface, with a fixed gnomon
88. The 'hoof' (hafir) on which the zuhr and asr are traced as complete circles
89. The arc of the asr which is a complete circle
90. The cones, movable like the conical sundials (makahil), the conical gnomons, and the like
91. The base of the ventilator
92. The universal arcs of the asr in a movable way, whilst its gnomon is fixed on it
93. The sundials on the fixed columns, like the columns of mosques and other (buildings)
94. The hours of the portable columns with movable gnomons, from which the rest is being suspended
95. The Fazari balance
96. The bracelet dial
97. The 'locust's leg', as a function of the meridian altitude, for a specific latitude, and for any location you want
98. The 'locust's legs', as a function of the solar longitude, for a specific latitude, and for any location you want
99. The stair-case sundial provided with steps and fixed on a horizontal surface
100. The 'locust's leg' whose hour(-lines) are function of the altitude, for the zodiacal signs, and for any location you want
101. The asr curve on horizontal sundials and on (other) instruments
102. The horizontal sundial (basita) without having to place the ruler on the azimuths of the hours or (to use) their horizontal shadows
103. The hours of the basin which does not empty
104. The bowl placed upside-down, that is, the hours of the dome placed upside-down
105. The ruler with which the altitude can be measured
106. The cylindrical sundial
107. The vertical sundial (parallel) to the meridian
108. The vertical sundial (parallel) to the meridian line, inclined towards the east and towards the west by (an angle of) 45[degree]
109. The declining sundial (al-munharifa)
110. The sundial 'connected' (to the previous one) (al-mawsula)
111. The inclined sundial (al-maila) by means of the declining sundial, on the side facing the sky
112. The inclined sundial by means of the declining sundial, on the side facing the earth
113. The horizontal sundial with which 41 problems can be solved
114. The equal hours on the declining sundial
115. The equal hours on the inclined sundial, by means of the construction of the (corresponding) declining sundial
116. The declining sundial with which the altitude and the azimuth can be known
119. The seasonal hours, the altitude arcs and the azimuth (lines) on the inclined sundials, on the side facing the earth
120. The inclined sundials whose inclinations are not in the direction of their declinations (and which are) on the side facing the sky
121. The inclined sundials made in the opposite direction than that of their declination, on the side facing the earth
122. The vertical sundial for latitude 36[degree] parallel to the east-west line, on the northern face
Part IV. Appendices
A.. Table of 'declinations and equations'
B.. Najm al-Din's Proportion Tables
C.. Najm al-Din's Star Table
C.1. The star table
C.2. Stars featured on the illustrations of retes
C.2.1. Concordance star number to chapters
Bibliography
Indices
Plates
Part V. Edition of Najm al-Din's treatise

Mathematical instrumentation in fourteenth-century Egypt and Syria : the illustrated treatise of Najm al-Dīn al-Mīṣrī /

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