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STANDARD - Survey Instrument Antique Center!

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On slightly rising ground locate four points a, 6, c and d, on the same line, nearly,<br />

making be = ca, and ad any convenient distance, preferably not much less than ca, and<br />

in some simple ratio with it, for ease of calculation afterwards. Set the instrument at<br />

c ; take readings A' and B' on a and b respectively, carefully leveling before each sight.<br />

Then, unless the instrument is otherwise much out of adjustment, (B' A') is the true<br />

difference of level of a and b.<br />

Next set up at d, level carefully, and take readings A" and B'" on a and b respectively.<br />

[In strictness the centre of the instrument should not be set over d, but beyond,<br />

by an additional distance = principal focal length of the object-lens -j- the distance from<br />

that lens to the centre of the tripod. (See the Manual, page 87, Fig. 2.) ] Then (B"<br />

A") (B' A') = B'"= error of collimation in the distance ba, that is the error due to<br />

the vertical angle between the line of sight and axis of spirit-level. Now, by similar<br />

triangles, we have<br />

B/ ,, . 6a = BIV : ^ ...<br />

B " = B/// x bd ,<br />

ba<br />

which is the error in the distance bd, and is to be applied to the reading ~B ff . Set the<br />

rod to read (B" Then :<br />

B 1V<br />

).<br />

For Adjustment of a Dumpy Level.<br />

Having first adjusted the spirit-level so that it remains true in all positions about<br />

the vertical axis, point the telescope on the rod, properly held at 6, with target set to<br />

read (B" B lv ). By means of the capstan-headed screws, raise or lower the horizontal<br />

line until it bisects the target. To test the adjustment, set the rod over a, with index<br />

reading (B"<br />

B IV<br />

) (B' A'), and see if the target is still bisected.<br />

Adjustment of Attached Level of Transit Telescope.<br />

The rod being held plumb at b, with target set to read (B" B iv ), move the telescope<br />

by vertical tangent-screw until the line of sight bisects the target ; clamp securely.<br />

Then bring the bubble to the middle of the tube by means of the level- adjusting nuts<br />

alone. Test as in the other case.<br />

KEMARKS. The diagram shows a special case, viz., when (B" A") > (B' A'),<br />

or the angle subtended by B vi is one of elevation. If (B" A") = (B' A) the line of<br />

sight is already level and no adjustment is needed. If (B" A") < (B' - A?), B* subtends<br />

an angle of depression, and is to be added to B". In the latter case, if the slope<br />

of the ground is slight, the difference (B" A") may be either zero or a very small<br />

quantity, positive or negative ; but in all cases it is added algebraically to (B' A') to<br />

obtain B" 7 .<br />

As in all other methods of adjustment, we assume that the maker has done his part<br />

so well that the line of collimation will not be disturbed in any movement of the objective<br />

for focusing. Let us suppose that the line of collimation is made truly horizontal,<br />

and that in its prolongation we have set the centres of two targets, one over a<br />

and one over 6, the instrument being at d. If now we focus upon the farther target, the<br />

image will be bisected by the horizontal spider-line. Then change the focus so as to<br />

view the nearer target. If the centre of the objective has not moved truly in the line of<br />

collimation, the new image will not be bisected at the focus, and the nearer target will<br />

appear to be out of level, when in fact it is not. Hence, since this adjustment requires<br />

change of focus, it cannot be made if the above defect, in the movement of the objective,<br />

exists. If, however, the distance ad be not too small and the defect alluded to be only<br />

slight, the error in changing focus for b and a may be hardly appreciable. The adjustment<br />

once made approximately, we n^ed not remark that, in the field work, any further<br />

error of objective is avoided when taking equidistant sights.

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