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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
154:. 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. 293:
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
477:, 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 336: 425: 451: 399: 379: 359: 297:. 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. 589: 157:
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.
537: 165:. Traditional methods and instruments are still in use in many areas of the world and by users who are not primarily surveyors. 111:, by which the horizontal and vertical positions of points on the Earth's surface relative to one another are determined using a 469:
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
306: 404: 473:. This is a rigid rod, usually of a material insensitive to change in temperature such as 8: 430: 120: 574: 485: 384: 364: 344: 128: 401:
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
230: 255: 135: 124: 568: 541:. Vol. 26 (11th ed.). Cambridge University Press. pp. 341–344. 532: 522: 158: 489: 258:, the distance to target. The principles of action are similar to those of 286: 279: 271: 259: 251: 186: 139: 247: 116: 31: 478: 181:
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
107:; from Greek for "quick measure") is a system of rapid 433: 407: 387: 367: 347: 309: 75: 66: 96: 93: 69: 87: 81: 445: 419: 393: 373: 353: 330: 254:and in modern form determines, electronically or 566: 127:for distance measurement and without a separate 193:) of the telescope. The difference of height 590:Length, distance, or range measuring devices 558:, McGraw-Hill Book Company, 1966 LC 64-66263 554:Raymond Davis, Francis Foote, Joe Kelly, 197:is computed from the angle of depression 509: 507: 505: 460: 229: 220: 36: 14: 567: 550: 548: 502: 526: 177:is inferred from the vertical angle 453:exactly, to simplify calculations. 24: 545: 131:for relative height measurements. 25: 601: 514: 62: 456: 556:Surveying, Theory and Practice 225: 27:Archaic rapid surveying method 13: 1: 495: 265: 49:is the horizontal distance; 7: 10: 606: 29: 53:is the vertical distance. 41:Diagram of measurements: 189:wires in the diaphragm ( 173:The horizontal distance 119:). It is used without a 30:Not to be confused with 538:Encyclopædia Britannica 527:Airy, Wilfrid (1911). " 465:Wild brand subtense bar 45:is the slant distance; 466: 447: 421: 395: 375: 355: 332: 331:{\displaystyle d=ks+c} 295:stadia interval factor 235: 201:or angle of elevation 168: 54: 585:Measuring instruments 580:Surveying instruments 464: 448: 422: 420:{\displaystyle k=100} 396: 376: 356: 333: 278:with a theodolite or 233: 221:Specialized equipment 40: 431: 405: 385: 365: 345: 307: 289:on the instrument's 129:levelling instrument 446:{\displaystyle c=0} 209:already obtained. 486:isosceles triangle 467: 443: 417: 391: 371: 351: 328: 236: 150:, or broken up by 55: 394:{\displaystyle c} 374:{\displaystyle k} 354:{\displaystyle s} 256:electro-optically 16:(Redirected from 597: 559: 552: 543: 542: 520: 518: 517: 511: 452: 450: 449: 444: 426: 424: 423: 418: 400: 398: 397: 392: 380: 378: 377: 372: 360: 358: 357: 352: 337: 335: 334: 329: 234:1906 tacheometer 106: 105: 102: 101: 98: 95: 92: 89: 86: 83: 80: 77: 74: 71: 68: 21: 605: 604: 600: 599: 598: 596: 595: 594: 565: 564: 563: 562: 553: 546: 515: 513: 512: 503: 498: 459: 432: 429: 428: 406: 403: 402: 386: 383: 382: 366: 363: 362: 346: 343: 342: 308: 305: 304: 268: 250:used for rapid 228: 223: 171: 134:Instead of the 65: 61: 35: 28: 23: 22: 15: 12: 11: 5: 603: 593: 592: 587: 582: 577: 561: 560: 544: 533:Chisholm, Hugh 500: 499: 497: 494: 458: 455: 442: 439: 436: 416: 413: 410: 390: 370: 350: 339: 338: 327: 324: 321: 318: 315: 312: 267: 264: 227: 224: 222: 219: 170: 167: 159:total stations 26: 9: 6: 4: 3: 2: 602: 591: 588: 586: 583: 581: 578: 576: 573: 572: 570: 557: 551: 549: 540: 539: 534: 530: 524: 523:public domain 510: 508: 506: 501: 493: 491: 487: 482: 480: 476: 472: 463: 454: 440: 437: 434: 414: 411: 408: 388: 368: 348: 325: 322: 319: 316: 313: 310: 303: 302: 301: 298: 296: 292: 288: 284: 281: 277: 273: 263: 261: 257: 253: 249: 246:is a type of 245: 241: 232: 218: 215: 210: 208: 204: 200: 196: 192: 188: 184: 180: 176: 166: 164: 160: 155: 153: 149: 143: 141: 137: 132: 130: 126: 122: 118: 114: 110: 104: 59: 52: 48: 44: 39: 33: 19: 555: 536: 490:trigonometry 483: 471:subtense bar 470: 468: 457:Subtense bar 340: 299: 294: 287:stadia marks 285:. These use 275: 269: 260:rangefinders 252:measurements 243: 239: 237: 211: 206: 202: 198: 194: 182: 174: 172: 156: 144: 133: 115:(a form of 112: 57: 56: 50: 46: 42: 18:Subtense bar 529:Tacheometry 280:plane-table 274:known as a 272:level staff 244:tacheometer 226:Tacheometer 140:level staff 113:tacheometer 58:Tacheometry 569:Categories 496:References 276:stadia rod 266:Stadia rod 248:theodolite 240:tachymeter 117:theodolite 32:Tachometry 575:Surveying 479:telescope 179:subtended 109:surveying 535:(ed.). 525::  291:reticle 283:alidade 214:azimuth 191:reticle 152:ravines 531:". In 519:  341:Here, 187:stadia 475:invar 121:chain 427:and 381:and 212:The 163:GNSS 148:bush 136:pole 125:tape 415:100 242:or 169:Use 123:or 571:: 547:^ 504:^ 492:. 262:. 238:A 195:Δh 51:Δh 441:0 438:= 435:c 412:= 409:k 389:c 369:k 349:s 326:c 323:+ 320:s 317:k 314:= 311:d 207:S 203:α 199:z 183:L 175:S 103:/ 100:i 97:r 94:t 91:ɪ 88:m 85:ɒ 82:ˈ 79:i 76:k 73:æ 70:t 67:ˌ 64:/ 60:( 47:S 43:D 34:. 20:)

Index

Subtense bar
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

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