Knowledge (XXG)

Tacheometry

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angle is determined as normally. Thus, all the measurements requisite to locate a point both vertically and horizontally with reference to the point where the tacheometer is centred are determined by an observer at the instrument without any assistance beyond that of a person to hold the level staff.
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The ordinary methods of surveying with a theodolite, chain, and levelling instrument are fairly satisfactory when the ground is relatively clear of obstructions and not very precipitous, but it becomes extremely cumbersome when the ground is covered with
143:. Chain measurements then become slow and liable to considerable error; the levelling, too, is carried on at great disadvantage in point of speed, though without serious loss of accuracy. These difficulties led to the introduction of tacheometry. 282:
to measure the distance between two points on the stadia rod (the stadia interval). This is converted to distance from the instrument to the stadia rod by multiplying the stadia interval by the
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A theodolite is used to measure the horizontal angle between indicators on the two ends of the subtense bar. The distance from the telescope to the subtense bar is the height of an
466:, of fixed length (typically 2 metres (6.6 ft)). The subtense bar is mounted on a tripod over the station to which the distance is desired. It is brought to level, and a small 578: 325: 414: 440: 388: 368: 348: 286:. If the stadia rod is not at the same elevation as the instrument, the value must be corrected for the angle of elevation between the instrument and the rod. 526: 146:
In western countries, tacheometry is primarily of historical interest in surveying, as professional measurement nowadays is usually carried out using
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is used in tacheometry. This is marked with heights from the base or foot, and is graduated according to the form of tacheometer in use.
154:. Traditional methods and instruments are still in use in many areas of the world and by users who are not primarily surveyors. 100:, by which the horizontal and vertical positions of points on the Earth's surface relative to one another are determined using a 573: 568: 458:
Another device used in tacheometry to measure distance between the measuring station and a desired point is the
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on the bar enables the bar to be oriented perpendicular to the line of sight to the angle measuring station.
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formed with the theodolite at the upper vertex and the subtense bar length at its base, determined by
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One or more of the preceding sentences incorporates text from a publication now in the
295: 52: 393: 462:. This is a rigid rod, usually of a material insensitive to change in temperature such as 419: 373: 353: 333: 244: 124: 113: 557: 521: 511: 390:
are multiplicative and additive constants. Generally, the instrument is made so that
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between them. Alternatively, also by readings of the staff indicated by two fixed
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and recorded using data collectors. Location positions are also determined using
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between two well-defined points on the staff and the known distance 2
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is the stadia interval (top intercept minus bottom intercept);
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Other forms of tacheometry in surveying include the use of a
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The formula most widely used for finding the distances is:
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of a fixed point on the staff and the horizontal distance
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normally employed to mark a point, a staff similar to a
96:; from Greek for "quick measure") is a system of rapid 422: 396: 376: 356: 336: 298: 64: 55: 85: 82: 58: 76: 70: 434: 408: 382: 362: 342: 319: 243:and in modern form determines, electronically or 116:for distance measurement and without a separate 182:) of the telescope. The difference of height 8: 579:Length, distance, or range measuring devices 547:, McGraw-Hill Book Company, 1966 LC 64-66263 543:Raymond Davis, Francis Foote, Joe Kelly, 421: 395: 375: 355: 335: 297: 186:is computed from the angle of depression 498: 496: 494: 490: 539: 537: 7: 166:is inferred from the vertical angle 442:exactly, to simplify calculations. 120:for relative height measurements. 14: 503: 51: 545:Surveying, Theory and Practice 16:Archaic rapid surveying method 1: 38:is the horizontal distance; 595: 18: 42:is the vertical distance. 30:Diagram of measurements: 178:wires in the diaphragm ( 162:The horizontal distance 108:). It is used without a 19:Not to be confused with 527:Encyclopædia Britannica 516:Airy, Wilfrid (1911). " 454:Wild brand subtense bar 34:is the slant distance; 455: 436: 410: 384: 364: 344: 321: 320:{\displaystyle d=ks+c} 284:stadia interval factor 224: 190:or angle of elevation 43: 574:Measuring instruments 569:Surveying instruments 453: 437: 411: 409:{\displaystyle k=100} 385: 365: 345: 322: 267:with a theodolite or 222: 210:Specialized equipment 29: 420: 394: 374: 354: 334: 296: 278:on the instrument's 118:levelling instrument 435:{\displaystyle c=0} 198:already obtained. 475:isosceles triangle 456: 432: 406: 380: 360: 340: 317: 225: 139:, or broken up by 44: 383:{\displaystyle c} 363:{\displaystyle k} 343:{\displaystyle s} 245:electro-optically 586: 548: 541: 532: 531: 509: 507: 506: 500: 441: 439: 438: 433: 415: 413: 412: 407: 389: 387: 386: 381: 369: 367: 366: 361: 349: 347: 346: 341: 326: 324: 323: 318: 223:1906 tacheometer 95: 94: 91: 90: 87: 84: 81: 78: 75: 72: 69: 66: 63: 60: 57: 594: 593: 589: 588: 587: 585: 584: 583: 554: 553: 552: 551: 542: 535: 515: 504: 502: 501: 492: 487: 448: 418: 417: 392: 391: 372: 371: 352: 351: 332: 331: 294: 293: 257: 239:used for rapid 217: 212: 160: 123:Instead of the 54: 50: 24: 17: 12: 11: 5: 592: 590: 582: 581: 576: 571: 566: 556: 555: 550: 549: 533: 522:Chisholm, Hugh 489: 488: 486: 483: 447: 444: 431: 428: 425: 405: 402: 399: 379: 359: 339: 328: 327: 316: 313: 310: 307: 304: 301: 256: 253: 216: 213: 211: 208: 159: 156: 148:total stations 15: 13: 10: 9: 6: 4: 3: 2: 591: 580: 577: 575: 572: 570: 567: 565: 562: 561: 559: 546: 540: 538: 534: 529: 528: 523: 519: 513: 512:public domain 499: 497: 495: 491: 484: 482: 480: 476: 471: 469: 465: 461: 452: 445: 443: 429: 426: 423: 403: 400: 397: 377: 357: 337: 314: 311: 308: 305: 302: 299: 292: 291: 290: 287: 285: 281: 277: 273: 270: 266: 262: 254: 252: 250: 246: 242: 238: 235:is a type of 234: 230: 221: 214: 209: 207: 204: 199: 197: 193: 189: 185: 181: 177: 173: 169: 165: 157: 155: 153: 149: 144: 142: 138: 132: 130: 126: 121: 119: 115: 111: 107: 103: 99: 93: 48: 41: 37: 33: 28: 22: 544: 525: 479:trigonometry 472: 460:subtense bar 459: 457: 446:Subtense bar 329: 288: 283: 276:stadia marks 274:. These use 264: 258: 249:rangefinders 241:measurements 232: 228: 226: 200: 195: 191: 187: 183: 171: 163: 161: 145: 133: 122: 104:(a form of 101: 46: 45: 39: 35: 31: 518:Tacheometry 269:plane-table 263:known as a 261:level staff 233:tacheometer 215:Tacheometer 129:level staff 102:tacheometer 47:Tacheometry 558:Categories 485:References 265:stadia rod 255:Stadia rod 237:theodolite 229:tachymeter 106:theodolite 21:Tachometry 564:Surveying 468:telescope 168:subtended 98:surveying 524:(ed.). 514::  280:reticle 272:alidade 203:azimuth 180:reticle 141:ravines 520:". In 508:  330:Here, 176:stadia 464:invar 110:chain 416:and 370:and 201:The 152:GNSS 137:bush 125:pole 114:tape 404:100 231:or 158:Use 112:or 560:: 536:^ 493:^ 481:. 251:. 227:A 184:Δh 40:Δh 430:0 427:= 424:c 401:= 398:k 378:c 358:k 338:s 315:c 312:+ 309:s 306:k 303:= 300:d 196:S 192:α 188:z 172:L 164:S 92:/ 89:i 86:r 83:t 80:ɪ 77:m 74:ɒ 71:ˈ 68:i 65:k 62:æ 59:t 56:ˌ 53:/ 49:( 36:S 32:D 23:.

Index

Tachometry

/ˌtækiˈɒmɪtri/
surveying
theodolite
chain
tape
levelling instrument
pole
level staff
bush
ravines
total stations
GNSS
subtended
stadia
reticle
azimuth

theodolite
measurements
electro-optically
rangefinders
level staff
plane-table
alidade
stadia marks
reticle

invar

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