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STANDARD - Survey Instrument Antique Center!

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46<br />

Obviously then, the number of whole revolutions made by the screw, in turning<br />

the telescope through a vertical arc, can be ascertained from this scale. The clamp<br />

arm of the telescope has its clamping screw just above the horizontal axis, in the<br />

usual manner. When this screw is free, the telescope may be revolved ; but when<br />

it is clamped, the telescope can only be moved by the gradienter screw, which thus<br />

takes the place of the ordinary vertical tangent screw. The screw is cut with such<br />

a value of a single revolution, as to cause the horizontal cross-line of the telescope<br />

to move over a space of of a jjg foot, placed at a distance of 100 feet, when the<br />

screw is turned through one of the smallest spaces on its graduated head and<br />

;<br />

since there are fifty such spaces on the head, it follows that one revolution of the<br />

screw is equivalent to ^ of a foot, at a distance of 100 feet. The numbered graduations<br />

on the screw head are then each equivalent to ^ of a foot in 100 feet and ; two<br />

entire revolutions of the screw would be twice 55, or 1 foot to the 100. It is readily<br />

seen that grades can be established with great rapidity with this screw. It is only<br />

necessary after setting the gradienter screw to zero, and leveling and clamping the<br />

telescope, to move it up or down as many spaces of the head ofthe gradienter screw<br />

as there are hundredths of feet to the hundred, in the grade to be established.<br />

Thus, to establish a grade of l ft<br />

85, the screw head is turned through three whole<br />

50, and through three of the numbered<br />

spaces of the scale, which corresponds to l. ft<br />

divisions, and five of the shortest ones to make up the entire reading of 1." 85.<br />

For measuring distances this screw takes the place of stadia lines, and is more<br />

convenient ; since for any approximately horizontal distance, the space on an ordinary<br />

leveling rod expressed in hundredths of feet, included in two revolutions of<br />

the screw, will be the number of feet the level rod is distant from the center of the<br />

instrument. Thus the difference between two readings of the level rod was 2" . 965<br />

when the telescope was moved in altitude through two revolutions of the screw.<br />

The rod therefore was distant 296.5 feet.<br />

It is unnecessary even that a leveling rod be used. A ranging pole or walking<br />

stick, or any arbitrary length which can afterwards be measured, will suffice. Thus<br />

a stick, which was afterwards measured and found to be 3". 38 long, was found to<br />

be subtended by 3^ revolutions of the screw at an unknown distance.<br />

In this case the distance was<br />

i|| X 100 = 213 .9 feet.<br />

1 58<br />

In case, however, the distance to be measured is not approximately in the same<br />

level plane with the transit telescope, it is necessary to compute the distance, from<br />

the readings of the rod. In taking such readings at an altitude, it is customary to<br />

incline the rod towards the telescope, and by trial find the least space subtended by<br />

two stadia lines. A skilful rod-man will plumb a rod more readily than he can<br />

incline it at the proper angle, and a reading of the plumb rod can be taken with<br />

jrreater accuracy, and in less time than with the inclined rod ; but it ordinarily<br />

involves some additional computing to reduce such vertical readings to horizontal<br />

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