This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1898 Excerpt: ...b'-b" '(53) In this equation cos q may usually be placed equal to unity. For greater accuracy the average value of q from equation (51) may be used. A0 may be determined as indicated just below equation (51). Only an approximate value for it is required. All other quantities in the second member of (53) are known. ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1898 Excerpt: ...b'-b" '(53) In this equation cos q may usually be placed equal to unity. For greater accuracy the average value of q from equation (51) may be used. A0 may be determined as indicated just below equation (51). Only an approximate value for it is required. All other quantities in the second member of (53) are known. Hence d may be computed. It simplifies the computation to take the readings at equidistant points on the circle. Sin (A'--A") will then be constant. It would seem at first sight that a value of d derived in this way by use of vertical and horizontal circles reading to half-minutes only (say) must necessarily be crude. If, however, the inclination of the vertical axis is made 30, y and its tangent, and therefore d, may be determined within one four-hundredth part. The readings of the horizontal circle do not need to be very refined, because for the positions used a comparatively large change in the circle reading is necessary to produce an appreciable change in the position of the bubble. This method, then, serves to determine the level value with an accuracy which bears little relation to the fineness of the circle graduations. Discussion of Errors. 122. Following the same general plan as in discussing the errors of sextant observations, the external errors, instrumental errors, and observer1s errors will be discussed separately, and then their combined effect will be considered. The two principal external errors are the error in the assumed right ascension of the star, and the lateral refraction of the light from the star. If only such stars as are given in the va-ious national ephemerides are observed for time, the probable errors in the right ascensions will usually be on an average o."04 or o."05, and no appre...
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