16 TPS1200+/TS30/TM30 COGO
2.4 COGO Calculation - Inverse Method
2.4.1 Overview
Description It is possible to compute an inverse result between point, line and arc elements:
Option 1: inverse between point - point
To compute an inverse between two known
points.
Known elements:
P1 First known point (From)
P2 Second known point (To)
Unknown elements:
α Direction from P1 to P2
d1 Slope distance between P1 and P2
d2 Horizontal distance between P1 and P2
d3 Height difference between P1 and P2
Option 2: inverse between point - line
To compute an inverse between a known point
and a given line (the inverse is computed as the
perpendicular between the known point and the
given line).
Known elements:
P0 Instrument station
P1 Starting point
P2 End point or the direction from P1 to P2
P3 Offset point
Unknown elements:
P4 Base point
d1 The perpendicular offset to the base point
d2 The distance along the line
Option 3: inverse between point - arc
To compute an inverse between a known point
and a given arc (the inverse is computed as the
perpendicular between the known point and the
given arc).
Known elements:
P0 Instrument station
P1 Starting point
P2 End point
P3 Offset point
P4 Second point or arc radius or arc/chord
length
Unknown elements:
P4 Base point
d1 The perpendicular offset to the base point
d2 The distance along the arc
TPS12_146
d1
d3
d2
P1
P2
P0
TPS12_186
P1
P2
P4
d2
d1
P3
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