Knowledge (XXG)

Kamal (navigation)

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example 24 then take reading with kamal example 15cm was the length of the string to the board therefore 15cm is equal to 24 degrees. you can keep making different reading the same way for different objects till you have your own standard of measurements. helpful tip make a calibration card and print it on the kamal board it self example 30cm=45degree 20cm=30degree
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card. The kamal is used by placing one end of the string in the teeth while the other end is held away from the body roughly parallel to the ground. The card is then moved along the string, positioned so the lower edge is even with the horizon, and the upper edge is occluding a target star, typically
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it is not necessary to follow a certain standards and calculation to make your own kamal, all you need is piece of wood string and help of a sextant or any angle measuring device for the first calibration of your personal kamal. chose any object preferably Polaris take the angle reading with sextant
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is currently close to the celestial pole, its elevation is a good approximation of the latitude of the observer. The kamal consists of a rectangular wooden card about 2 by 1 inch (5.1 by 2.5 cm), to which a string with several equally spaced knots is attached through a hole in the middle of the
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Due to the limited width of the card, the kamal was only really useful for measuring Polaris in equatorial latitudes, where Polaris remains close to the horizon. This fact may explain why it was not common in Europe. For these higher-latitude needs somewhat more complex devices based on the same
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The knots were typically tied to measure angles of one finger-width. When held at arm's length, the width of a finger measures an angle that remains fairly similar from person to person. This was widely used (and still is today) for rough angle measurements, an angle known as
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because its angle to the horizon does not change with longitude or time. The angle can then be measured by counting the number of knots from the teeth to the card, or a particular knot can be tied into the string if travelling to a known latitude.
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Side view of how the kamal was used to measure the elevations of stars. While the lower edge aligns with the horizon, the upper edge indicates the elevation of the star.
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Cultural Foundations of Mathematics: The Nature of Mathematical Proof and Transmission of the Calculus From India to Europe in the 16th c. CE
456: 410: 432: 45:. The invention of the kamal allowed for the earliest known latitude sailing, and was thus the earliest step towards the use of 484: 474: 489: 155:. In such an application, it can be used for estimating distances to land. The distance can be calculated from the formula 479: 54: 494: 448: 62: 66: 161: 132:
of the ratio of the width of the finger to the length of the arm. In Chinese navigation, the unit of
38: 21: 452: 406: 376: 367: 121: 435:(2003), "The Stellar Compass and the Kamal. An Interpretation of its Practical Use", in 262: 242: 222: 202: 46: 468: 58: 107: 141: 50: 152: 145: 136:角 is also used to represent a quarter 指 (an angle of 24 minutes 6 seconds). 427:
Portugal's Golden Years, The Life and Times of Prince Henry "The Navigator"
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Proceedings of the International Seminar on Marine Archeology
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Usage of the kamal to determine the elevation of the polestar
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is the distance from the kamal to the observer's eye, and
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Celestial navigation device that determines latitude
271: 251: 231: 211: 188: 151:The kamal is still a tool recommended for use in 57:of the late 9th century, and was employed in the 405:, 2nd edition, The Globe Pequot Press, 1993, 335: 333: 319: 317: 8: 375:, Delhi: Pearson Longman, pp. 240–59, 264: 244: 224: 204: 171: 163: 61:from the 10th century. It was adopted by 353: 340: 324: 300: 429:. Dorrance Publishing Co., p. 84 7: 239:is the size of the object observed, 69:some time before the 16th century. 14: 189:{\displaystyle D={\frac {Sd}{s}}} 140:principle were used, notably the 403:Fundamentals of Kayak Navigation 65:soon after, and then adopted by 219:is the distance to the object, 311:, Hildesheim, Olms, 2019, 398. 1: 511: 279:is the size of the kamal. 449:Oxford University Press 307:Al Salimi and Staples, 41:device that determines 37:(wood in Arabic), is a 485:Orientation (geometry) 475:Navigational equipment 443:McGrail, Sean (2004), 273: 253: 233: 213: 190: 112: 82: 33:, often called simply 26: 25:A simple wooden kamal. 490:Measuring instruments 425:Carreiro, Carlos B., 274: 254: 234: 214: 191: 110: 80: 53:. It originated with 24: 480:Celestial navigation 433:Malhão Pereira, J.M. 366:Raju, C. K. (2007), 263: 243: 223: 203: 162: 39:celestial navigation 99:Make your own kamal 445:Boats of the World 309:A Maritime Lexicon 269: 249: 229: 209: 186: 113: 83: 67:Chinese navigators 27: 382:978-81-317-0871-2 272:{\displaystyle s} 252:{\displaystyle d} 232:{\displaystyle S} 212:{\displaystyle D} 184: 63:Indian navigators 502: 461: 413: 399: 393: 392: 391: 389: 374: 363: 357: 356:, pp. 85–6) 350: 344: 337: 328: 321: 312: 305: 278: 276: 275: 270: 258: 256: 255: 250: 238: 236: 235: 230: 218: 216: 215: 210: 195: 193: 192: 187: 185: 180: 172: 510: 509: 505: 504: 503: 501: 500: 499: 495:Arab inventions 465: 464: 459: 442: 422: 417: 416: 400: 396: 387: 385: 383: 372: 365: 364: 360: 351: 347: 338: 331: 322: 315: 306: 302: 297: 285: 261: 260: 241: 240: 221: 220: 201: 200: 173: 160: 159: 101: 75: 55:Arab navigators 17: 12: 11: 5: 508: 506: 498: 497: 492: 487: 482: 477: 467: 466: 463: 462: 457: 440: 430: 421: 418: 415: 414: 401:Burch, David, 394: 381: 358: 345: 343:, p. 393) 329: 327:, p. 316) 313: 299: 298: 296: 293: 292: 291: 284: 281: 268: 248: 228: 208: 197: 196: 183: 179: 176: 170: 167: 100: 97: 74: 71: 15: 13: 10: 9: 6: 4: 3: 2: 507: 496: 493: 491: 488: 486: 483: 481: 478: 476: 473: 472: 470: 460: 458:0-19-927186-0 454: 450: 446: 441: 438: 434: 431: 428: 424: 423: 419: 412: 411:1-56440-155-3 408: 404: 398: 395: 384: 378: 371: 370: 362: 359: 355: 349: 346: 342: 336: 334: 330: 326: 320: 318: 314: 310: 304: 301: 294: 290: 287: 286: 282: 280: 266: 246: 226: 206: 181: 177: 174: 168: 165: 158: 157: 156: 154: 149: 147: 143: 137: 135: 131: 127: 123: 119: 109: 105: 98: 96: 93: 88: 79: 72: 70: 68: 64: 60: 56: 52: 48: 44: 40: 36: 32: 23: 19: 444: 436: 426: 402: 397: 388:10 September 386:, retrieved 368: 361: 354:McGrail 2004 348: 341:McGrail 2004 325:McGrail 2004 308: 303: 198: 153:sea kayaking 150: 138: 133: 125: 118:issabah إصبع 117: 114: 102: 84: 59:Indian Ocean 47:quantitative 34: 30: 28: 18: 142:cross-staff 73:Description 49:methods in 469:Categories 420:References 51:navigation 146:backstaff 283:See also 85:Because 43:latitude 35:khashaba 289:Sextant 130:arcsine 92:Polaris 87:Polaris 455:  409:  379:  199:where 122:Arabic 373:(PDF) 295:Notes 124:or a 31:kamal 453:ISBN 407:ISBN 390:2008 377:ISBN 144:and 134:jiao 126:zhi 120:in 471:: 451:, 447:, 332:^ 316:^ 148:. 29:A 352:( 339:( 323:( 267:s 247:d 227:S 207:D 182:s 178:d 175:S 169:= 166:D

Index


celestial navigation
latitude
quantitative
navigation
Arab navigators
Indian Ocean
Indian navigators
Chinese navigators

Polaris
Polaris

Arabic
arcsine
cross-staff
backstaff
sea kayaking
Sextant


McGrail 2004


McGrail 2004
McGrail 2004
Cultural Foundations of Mathematics: The Nature of Mathematical Proof and Transmission of the Calculus From India to Europe in the 16th c. CE
ISBN
978-81-317-0871-2
ISBN

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