AGB, the angle between the tangents = 180 deg. - AOB.
OAB, the angle between the chord and the radius = EAB - 90
deg.
AH_{2}
GF = --------- - FH.
HO
The foregoing elements are contained in a very simple diagram, Fig. 4,
which is engraved on the instrument, together with the following
references:
B = 180 deg. - A.
C = 2B.
D = 180 deg. - C.
E = A - 90.
Only one adjustment is necessary, and this is provided by means of the
screws which fix the inclination of the eyepiece. This is set at such
an angle that the instrument, when closed and reading 90 deg. on the
divided limb, acts as an optical square.
It is not necessary, as in the ordinary method with a theodolite, that
one end of the curve should be visible from the other. If an obstacle
intervenes, all that part of the curve which commands a view of both
ends can be set out, and a ranging rod can be set up at any point of
the curve so found, and the instrument may be reset to complete the
curve.
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