Abstract
The invention relates to a device for measuring distances comprising
a distance measurer (1) and a stop element (3; 3'; 3") enabling
precise and mechanically stabile fixed installation on any form of
top surfaces. Interchangeable stop elements (3; 3'; 3") are disposed
on a distance measurer (1), and embodied on the side thereof which
is orientated towards the object to be measured in such a way that
exact installation can take place on the surface of the object. Another
use of the stop element is that it can comprise a receiving element
for securing a distance measurer (1), whereby the distance measurer
is pivotally mounted about at least one horizontal rotational axis
(12) whilst the distance measurer (1) is in use. The stop element
(3") is formed in such a way that it is possible to adjust the
device and subsequently measure different measuring points (C,D) without
having to take geometric changes into account as a result of said
adjustment.
Claims
1. A device for measuring distances, consisting of a in particular
hand-held--distance-measuring instrument (1) and an exchangeable--preferably
attachable--stop element (3; 3'; 3"), the distance-measuring
instrument (1) being capable of being positioned specifically relative
to a reference point by the stop element (3; 3'; 3"), wherein
the stop element (3; 3'; 3") has an identifier uniquely coordinated
with the stop element, correction means are present for taking into
account the specific positioning relative to the reference point in
the distance measurement, which positioning is effected by the stop
element (3; 3'; 3"), it being possible for these means to be
present either in the distance-measuring instrument (1), in the stop
element (3; 3'; 3") or in both.
2. The device as claimed in claim 1, wherein automatic identification
of the stop element (3; 3'; 3") on the basis of the identifier
is effected by the correction means.
3. The device as claimed in claim 1 or 2, wherein the correction
means comprise means for calculation and direct computational correction
of a measured value and/or for calculation and indication of a correction
value to be taken into account in the measurement, it being possible
to specify the values relative to the reference point or relative
to one or more points related to this reference point, and the correction
means comprising means for selecting the points to be calculated.
4. The device as claimed in claim 2 or 3, wherein the identifier
consists of at least one of the following means designed specifically
for the respective stop element (3; 3'; 3"): mechanical, preferably
in the form of a plug connector, electronic, preferably in the form
of an integrated circuit or memory module (8), optical, electromagnetic,
preferably in the form of a magnetic stripe, magnetic, preferably
through mounting of a plurality of magnets (5) and measurement of
their position, for example with the use of Hall elements (7).
5. A distance-measuring instrument (1) for a device as claimed
in any of the preceding claims, wherein the distance-measuring instrument
(1) has a device by means of which the specific positioning relative
to a reference point is taken into account in the distance measurement,
the positioning being effected by a stop element (3; 3'; 3")
identifiable on the basis of an identifier uniquely coordinated
with the stop element.
6. The distance-measuring instrument (1) for a device as claimed
in claim 5, wherein for taking into account the specific positioning,
the distance-measuring instrument (1) comprises means for the computational
correction of a measured value and/or means for indication of a
correction value to be taken into account in the measurement, it
being possible to specify the values relative to the reference point
or relative to one or more points related to this reference point.
7. A stop element (3; 3') for a device as claimed in any of claims
1-4, wherein the stop element (3; 3') defines exact distances between
its installation surfaces and a holder for a distance-measuring
instrument (1) and the stop element (3; 3') has an identifier uniquely
coordinated with this stop element.
8. The stop element (3; 3') as claimed in claim 7, wherein automatic
identification of the stop element (3; 3') on the basis of the identifier
can be effected by a distance-measuring instrument (1).
9. The stop element (3; 3') as claimed in claim 8, wherein the
identifier comprises at least one of the following means: mechanical,
preferably in the form of a plug connector, electronic, preferably
in the form of an integrated circuit or memory module (8), optical,
electromagnetic, preferably in the form of a magnetic stripe, magnetic,
preferably through mounting of a plurality of magnets (5) and measurement
of their position, for example with the use of Hall elements (7).
10. A stop element (3") for a device as claimed in any of
claims 1-4 for fastening a distance-measuring instrument (1) on
a holder, the distance-measuring instrument (1) being mounted so
as to be pivotable at least about one horizontal axis of rotation
(12) relative to the holder, wherein the stop element (3")
is designed to be exchangeable, the stop element (3") defines
exact distances between the holder and the distance-measuring instrument
(1) and the distance-measuring instrument (1) is connected by a
stop element (3") to the holder so that an axis of a line of
sight used as a distance measurement, between distance-measuring
instrument (1) and object to be measured, or an axis running parallel
between a plurality of axes of lines of sight used for distance
measurement, between distance-measuring instrument (1) and object
to be measured, intersects the axis of rotation.
11. The stop element (3") as claimed in claim 10, comprising
at least one additional vertical axis of rotation of the distance-measuring
instrument (1) relative to the holder, wherein the distance-measuring
instrument (1) is connected by the stop element (3") to the
holder so that the point of intersection of the two axes of rotation
(B) lies on an axis of a line of sight used for the distance measurement,
between distance-measuring instrument (1) and object to be measured,
or between a plurality of axes of lines of sight used for the distance
measurement, between distance-measuring instrument (1) and object
to be measured.
12. The stop element (3") as claimed in claim 10 or 11, wherein
the stop element (3") has at least two different, settable
states with regard to at least one of the following possibilities
for adjustment: rotation about the longitudinal axis (14) of the
stop element (3"), change of the length of the stop element
(3").
13. The stop element (3") as claimed in claim 11 or 12, wherein
the stop element (3") has an identifier which is uniquely coordinated
with said stop element and by means of which automatic identification
can be effected by the distance-measuring instrument (1).
14. The stop element (3") as claimed in claim 13, wherein
the identifier comprises one of the following means: mechanical,
preferably in the form of a plug connector, electronic, preferably
in the form of an integrated circuit or memory module, optical,
electromagnetic, preferably in the form of a magnetic stripe, magnetic,
preferably through mounting of a plurality of magnets and measurement
of their position, for example with the use of Hall elements.
Description
[0001] The invention relates to a device for measuring distances according
to the preamble of claim 1, and a distance-measuring instrument for
this device according to the preamble of claim 5 and a stop element
for this device according to the preamble of claim 7.
[0002] Devices for measuring distances, comprising a combination
of a distance-measuring instrument, preferably a laser distance-measuring
instrument, and a holder for positioning and for fixing the distance-measuring
instrument, are generally known and are used in many areas. These
holders effect exact positioning of the distance-measuring instrument
relative to a reference point, so that various measurements can
be transferred to a common reference system. Moreover, they ensure
stable retention during the measuring process.
[0003] A point which serves as a reference point for measured distances,
is to be defined here as the reference point, i.e. all values actually
measured by the distance-measuring instrument must be converted
so that they correspond to the distances in the reference system.
As a rule, in the case of an installation at a point, for example
at a wall in a building, it is therefore also necessary to take
into account the housing parts of the distance-measuring instrument
and any installation parts which serve for positioning the distance-measuring
instrument.
[0004] The holders of the prior art are generally in the form of
tripods and the distance-measuring instrument is fastened by means
of a thread and threaded bush, mobility about two axes (horizontal
and vertical) generally being ensured. This type of holder is used
in particular in the area of geodetic surveys.
[0005] In other areas, too, it is necessary to install the distance-measuring
instrument on an object or a reference point in a defined manner
in order to permit an exact measurement of the distance to another
object. In particular, use in the construction sector requires a
high accuracy of measurement in the case of a very wide range of
surfaces and reference points. Examples of such measurements are
building spacings, ceiling heights and internal diameters of openings.
Owing to the building structures, measurements frequently also have
to be carried out from corners, resulting in particular requirements
with respect to size and handling properties of the distance-measuring
instrument. The frequently highly structured ground gives rise to
problems with the exact installation and hence the positioning of
the distance-measuring instrument. For example, holes, edges, rounded
areas or wire meshes make it more difficult to position the device
exactly. It may also be of interest to be able to survey liquid
levels, for example the water level in a space; however, the surveying
of liquid surfaces by means of the distance-measuring instruments
of the prior art is not possible without complicated aids.
[0006] The main requirement with regard to the holder is thus associated
with the positioning of the distance-measuring instrument relative
to a point or in a plane, by means of which the various measurements
can be transferred to a standard reference system. Moreover, the
achievable accuracy during the measuring process can be increased
by mechanically firm fixing.
[0007] The main difficulties here are the defined installation
at the reference point to be surveyed and the mechanically sufficiently
stable fixing of the device during the measurement on the object.
A defined installation can be realized only with difficulty particularly
in the case of poorly accessible points, such as, for example, in
angled surfaces, or in the case of objects having a disadvantageous
surface, such as, for example, a very soft or curved surface. In
addition to the accessibility of the measuring point, which can
be ensured, for example, by a simple, hinged spike, there is a requirement
for secure fixing of the measuring device during the measurement.
Aids necessary for this purpose frequently result in a deviation
from the ideal installation at the measuring point. The distance-measuring
instrument must be positioned with the aid of a holder or a supporting
construction. If the distance-measuring instrument cannot be installed
therewith directly at the point actually to be surveyed, at least
the distance from the actual measuring location to this point must
be known.
[0008] If a measuring stop is used for the installation, as can
also be assumed to be known from other areas of measurement technology,
this additional distance of the measuring point, produced by the
measuring stop, must be taken into account in the measurement.
[0009] The realization of such a measuring system is subject to
various specifications. The requirements with regard to the measuring
device are good handling properties, the necessary precision and
a small size which makes it possible to reach and to survey all
relevant areas.
[0010] The generally hand-held laser distance-measuring instruments
used for this purpose are widely employed. A device of this type
is described, for example, in EP 0 738 899 B1.
[0011] The exact positioning of the distance-measuring instrument
on the object to be measured generally proves problematic. Thus,
for example, the measurement of a distance between a smooth wall
and pipe requires the installation of a distance-measuring instrument
on a curved surface if the advantage of a wall as a flat reflecting
surface is to be retained.
[0012] It is the technical object of the present invention to provide
a device and its components comprising distance-measuring instrument
and stop element, which ensure defined and sufficiently fixed installation
of the distance-measuring instrument on surfaces of virtually any
desired shape.
[0013] This object is achieved, according to the invention, by
the defining features of claims 1, 5 and 7. Advantageous and alternative
embodiments and further developments of the device are evident from
the features of the subclaims.
[0014] In the subject of the invention, an exchangeable stop element
whose side facing the object from which the measurement is to be
effected can be substantially adapted to said object is mounted
on a--preferably hand-held--distance-measuring instrument. Thus,
both exact positioning relative to the reference point to be surveyed
and firm mounting on the surface can be achieved.
[0015] The separation of measuring point and reference point which
is caused by the positioning of the measuring device necessitates
a correction of the distance given by the distance-measuring instrument.
This correction can be automatically calculated by an integrated
computer if the required dimensions of the stop element are exactly
known as correction data.
[0016] In principle, it is also possible, in an alternative realization,
to dispense with an integrated computer and to calculate the required
correction externally on the basis of the specified data of the
stop element.
[0017] It is also possible in principle to use the device according
to the invention to calculate the distance to a plurality of reference
points simultaneously with a single measurement.
[0018] The substantially freely designable object side of the stop
element makes it possible to provide stop elements for all shapes
and surfaces. Even the use of a float as a stop element for measuring
the distance from liquid surfaces to reference objects can be realized.
[0019] A version which is particularly easy to handle is a stop
element providing adjustable and universally applicable installation.
This may be, for example, in the form of a telescopic arm which,
after its installation on the object to be surveyed, automatically
measures its length and automatically transmits this value for calculation
of the correction.
[0020] A further advantageous possible use is the calculation of
distances to points which are basically inaccessible, such as, for
example, pipe axes. A diameter-specific collar as a stop element
makes it possible to mount the measuring device on a pipe. The measured
value can then be corrected directly so that the distance to the
middle of the pipe is output. By means of this procedure, the computational
effort and time requirement are substantially reduced, particularly
in the case of relatively large measurement series. The collar may
be designed to be adjustable, as in the above example of the telescopic
arms.
[0021] A further advantageous possible use of the exchangeable
stop element is its use as a stop element for a holder which serves
as an installation point for measurements. In geodetic applications,
a tripod stand is generally used here as a mount and holder for
the distance-measuring instrument. Here, the mounted distance-measuring
instrument is mounted so as to be rotatable about a vertical axis,
so that a plane which can generally be levelled by adjustment facilities
in the tripod stand is defined by the movement about this axis.
[0022] For surveys of two or more points which are outside this
horizontal rotational plane of the distance-measuring instrument
relative to the holder, the distance-measuring instrument must be
pivoted about a horizontal axis. By means of a measurement of two
points located one on top of the other, the height difference can
in principle be determined.
[0023] The present state of the art for holding laser distance-measuring
instruments comprises a threaded bush which is perpendicular to
the emission axis of the distance-measuring instrument and which
is engaged by a screw of the stand mount. Measuring device and stand
are connected to one another in this way so that the distance-measuring
instrument is mounted so as to be rotatable about an axis passing
through this connection and oriented perpendicular to said distance-measuring
instrument.
[0024] Since, in the case of mounts of this design, the axis of
rotation and the axis of laser emission or of laser detection have
no common point of intersection, pivoting results in differing positionings
between the reference points of distance-measuring instrument and
tripod, which have to be compensated computationally for highly
accurate measurements.
[0025] It is the technical object to provide a device which makes
it possible to attach a distance-measuring instrument to a mount--preferably
a tripod--so as to be rotatable about a horizontal and a vertical
axis, so that the pivot movement does not give rise to any corrections
of the measured distances.
[0026] This object is achieved, according to the invention, by
the defining features of claim 10. Advantageous embodiments and
further developments of the device are evident from the features
of the subclaims.
[0027] In the subject of the invention, a device for measuring
distances which is fastened to a holder is formed from a--preferably
hand-held--distance-measuring instrument and a--preferably exchangeable--stop
element. The stop element is mounted on the distance-measuring instrument
in such a way as to ensure a mechanically stable connection between
distance-measuring instrument and holder, which connection is pivotable
about at least one axis relative to the holder.
[0028] According to the invention, this stop element effects positioning
of the distance-measuring instrument relative to the holder so that
the point of intersection of all axes of rotation of the distance-measuring
instrument relative to the holder lies on an axis or between a plurality
of axes of beam paths used for the distance measurement.
[0029] If axes of rotation and axes used for the distance measurement
intersect at a point, this can be used as a reference point of the
distance measurement and a correction can be omitted. If the point
of intersection of all axes of rotation lies between a plurality
of axes of beam paths used for the distance measurement, there are
in principle still slight deviations due to pivot movements, but
these can be neglected in the case of beam paths which are sufficiently
close to one another.
[0030] A possible, exemplary realization of a stop element according
to the invention comprises the mounting of a straight stop element
on that side of a commercial, hand-held laser distance-measuring
instrument which is opposite the laser emission. The stop element
is mounted on a stand by means of thread and threaded bush so that
an axle mounted on the stop element--for example a hinge--lies in
the axis of the beam path used for the distance measurement.
[0031] The main requirement with regard to the stop element thus
relates to the positioning of the distance-measuring instrument
relative to one or more axes of rotation, which in principle can
be located on the stop element or on the holder.
[0032] A difficulty here is the defined installation at the reference
point defined by the point of intersection of the axes. Since, owing
to the stop element, the distance-measuring instrument cannot be
installed directly at the reference point, the additional distance
to this point, produced by the stop element, must be known.
[0033] The electronics required for the calculation can in principle
be implemented as an analog circuit or as a digital computer in
the device. A correction can then be effected by a modification
of the circuit or by calculation using correction data in the digital
computer. The correction data can in principle be polled at the
beginning of a measuring process and input manually or read in automatically
and, after temporary storage in the computer, used repeatedly for
calculations.
[0034] However, constant polling for each newly required calculation
can also be realized. Automatic identification of the stop element
with reading in of the correction data is a particularly advantageous
design since it is user-friendly.
[0035] If, according to the invention, the device has the means
for calculating the correction, either the corrected value directly
or the required correction distance can be specified. If the stop
element has an automatically detectable identifier, the distance-measuring
instrument recognizes the element mounted in each case and can independently
calculate the correction without additional inputs after installation
on the object. The required data of the stop element can be stored
in said element itself or in the distance-measuring instrument.
Furthermore, the means for calculating the corrected distance or
the necessary correction distance can in principle be housed both
in the distance-measuring instrument and in the stop element or
in both parts together.
[0036] The location of data storage and calculation of the correction
is dependent on the exact design of the device. It is therefore
possible to realize a standardized distance-measuring instrument
on which it is possible to mount complex, multiply adjustable stop
elements which are offered by a very wide range of manufacturers,
in some cases exclusively for highly specialized applications. For
this group, calculation in the stop element has the advantage of
being able to store all necessary and manufacturer-specific data
exclusively in the exchangeable stop element and of acquiring only
the measured distance from the comparatively standardized measuring
device. However, this solution is disadvantageous with regard to
the complexity of the stop element.
[0037] The other possibility, calculation in the distance-measuring
instrument, has the advantage of the simple, economical stop elements
but necessitates storage of the type-specific data in the distance-measuring
instrument or storage in the stop element and transmission to the
measuring device. However, this solution has advantages if it is
intended to employ a stop element having adjustable components,
since the current settings or correction values then have to be
transmitted in any case.
[0038] The identification of the stop element can in principle
be effected in various ways, it being possible to realize both straightforward
recognition of the stop element without storage of information and
transmission of data stored in the intelligent stop element.
[0039] For example, the respective type of stop element can be
recognized purely mechanically and without data storage in this
element from the design of the plug connector. Identification could
be effected here, for example, by means of a special plug in a component
and the positions of a plurality of pins in the other component
in each case, the presence or absence of pins in their positions
ensuring binary coding.
[0040] A further possibility comprises mounting of magnets, from
the position of which it is possible to conclude the type of stop
element. The detection of the magnets can be effected, for example,
using the Hall effect.
[0041] On the other hand, for example, electronic variants permit
the use of integrated circuits and memory modules on which a larger
number of data can be stored in the stop element and can be read
out when required by the measuring device. The same applies to optical
or electromagnetic storage media, for example magnetic stripes.
The transmission of the data can be effected, for example, by electrical
contacts or via electromagnetic radiation, for example by means
of a resonant circuit. The last-mentioned possibility has the advantage
that the stop element can be designed without external contacts,
with the result that a tighter seal between distance-measuring instrument
and stop element can be realized in a simple manner so that the
influence of external conditions, such as, for example, tough physical
ambient conditions due to humidity or dust, on the use of the instrument
is reduced.
[0042] It is the object of the device according to the invention
to achieve substantially improved handling and reduced time requirement
in combination with the same or improved precision of the distance
measurement.
[0043] The device according to the invention is described in more
detail below, purely by way of example, with reference to embodiments
shown schematically in the drawing. Specifically,
[0044] FIG. 1 shows an overall diagram of a device comprising distance-measuring
instrument having two exchangeable stop elements,
[0045] FIG. 2 shows an exemplary application of the device having
a specially shaped stop element which, for example, permits installation
on a pipe,
[0046] FIG. 3 shows a possibility of identifying various stop elements
by means of magnets and Hall elements,
[0047] FIG. 4 shows a further possibility of identifying various
stop elements by means of electronic memory chips,
[0048] FIG. 5 shows an overall diagram of a device according to
the invention, comprising distance-measuring instrument and stop
element for connection to a holder,
[0049] FIG. 6 shows the possible movements of the total system
comprising the device and a stand mount, shown by way of example,
as a holder,
[0050] FIG. 7 shows the function and the prevailing geometric conditions
of the device according to the invention, comprising a stop element
for connection to a holder, with a vertical difference between measuring
points,
[0051] FIG. 8 shows the function and the prevailing geometric conditions
of a comparable device of the prior art, with a vertical difference
between measuring points,
[0052] FIG. 9 shows the different geometric conditions in the case
of a device according to the invention, comprising a stop element
for connection to a holder, and in the case of a device of the prior
art.
[0053] FIG. 1 shows the possibility of mounting a first stop element
3 and a second stop element 3' on a distance-measuring instrument
1. The exchangeable mounting is effected here, by way of example,
on the side which is opposite the emission of a laser beam 2, but
mounting at another location of the distance-measuring instrument
1 is not ruled out herewith. The first stop element 3 and the second
stop element 3' have been optimized for different surfaces. Here,
a first stop element 3 having an installation spike 4 for installation
in holes or angles and a second stop element 3' having a curved
recess 4' for installation on pipes or other spherically shaped
bodies are shown by way of example. An adjustable design of the
curved recess 4' permits installation on surfaces having different
radii of curvature.
[0054] FIG. 2 shows, by way of example, the use of the second stop
element 3' for defined installation of the device according to the
invention on a curved installation surface, for example a pipe A.
Defined positioning of the distance-measuring instrument 1 relative
to the pipe A can be achieved by a mechanically strong connection
between the two parts of the device, i.e. distance-measuring instrument
1 and second stop element 3'.
[0055] The identification of the first stop element 3 or second
stop element 3' by the distance-measuring instrument 1 can be effected,
for example, by the use, shown in FIG. 3, of magnets 5 and Hall
elements 7. In the first stop element 3 or second stop element 3',
magnets 5 are mounted at different positions unique to the respective
stop element. The magnetic field is made detectable for the Hall
elements 7 by magnetic field conductors 6 in the distance-measuring
instrument 1. In the examples shown, in each case only one of the
two Hall elements 7 detects a magnetic field which is generated
by the magnets 5 mounted specifically for the first stop element
3 or second stop element 3'. Thus, the unique identification of
the first stop element 3 or second stop element 3' is possible solely
by the determination of the signal of one of the two Hall elements.
[0056] Another possibility is the identification, shown in FIG.
4, by means of memory modules 8. The first stop element 3 and second
stop element 3' each contain a memory module 8, for example an electronic
one, in which the data specific to the first stop element 3 and
second stop element 3' are stored. These data can be transmitted
as an electromagnetic signal 11 and received and further processed
by electronics 9 present in this example in the distance-measuring
instrument 1.
[0057] FIG. 5 schematically shows a device according to the invention
with the use of a stop element as a stop element, consisting of
a laser distance-measuring instrument 1, which is fastened on its
side opposite the laser beam 2 to an exchangeable stop element 3",
and a stand shown by way of example here as a tripod. The connection
between laser distance-measuring instrument 1 and stand mount 13
is effected via the stop element 3" rotatably mounted at the
point of intersection B of a horizontal axis 12 and a vertical axis.
The axes of the laser beam 2 and of the laser detector 2' are coaxial
or are close together and pass through or in the immediate vicinity
of the point of intersection of the axes of rotation.
[0058] FIG. 6 shows the possible rotations of the components laser
distance-measuring instrument 1 and stop element 3", which
are connected to one another, about a horizontal axis of rotation
12 and a vertical axis of rotation 12'.
[0059] FIG. 7 shows the use of the device according to the invention
and of a stand mount, shown by way of example, for measuring the
height difference between a lower measuring point C and an upper
measuring point D. The device consisting of distance-measuring instrument
1 and stop element 3" is connected at the point of intersection
B of the vertical and horizontal axes of rotation 12 to the stand
mount 5 so as to be pivotable about the horizontal axis of rotation
12. After a measurement of the distance to the measuring point C
by means of laser beam 2, the device is rotated about the horizontal
axis of rotation 12 and the distance to the upper measuring point
D is measured in an identical manner. From knowledge of the two
distances and of the angle in between, the height difference can
be calculated.
[0060] FIG. 8 shows a similar procedure using a device of the prior
art. The horizontal axis of rotation 12 of the laser distance-measuring
instrument 1 is now substantially below the axis of the laser beam
2.
[0061] The exact conditions and the differences between the two
devices are shown in FIG. 9. In FIG. 9a, vertical and horizontal
axes of rotation 12 coincide with the longitudinal axis 14 of the
laser distance-measuring instrument 1 and of the stop element 3"
at the point of intersection B. Here, the longitudinal axis 14 is
parallel to the lines of sight of the distance measurements and
in their immediate vicinity. In the device of the prior art which
is shown in FIG. 9b, the longitudinal axis of the laser distance-measuring
instrument 1 is outside this point of intersection of vertical and
horizontal axes of rotation 12. If the base of the laser distance-measuring
instrument 1, which is opposite the exit aperture of the laser beam,
is now taken as a reference point, a correction 17 has to be taken
into account after tilting of the laser distance-measuring instrument
from the first measuring position 15 to the second measuring position
16 for the measured distance since the reference point has changed
with respect to the distance to the point of intersection B.
1 List of reference numerals 1 Distance-measuring instrument 2
Laser beam 2' Laser detector 3 First stop element 3' Second stop
element 3" Third stop element 4 Installation spike 4' Curved
recess 5 Magnet 6 Magnetic field conductor 7 Hall element 8 Magnetic
field lines 9 Memory module 10 Electronics 11 Electromagnetic signal
12 Horizontal axis of rotation 12' Vertical axis of rotation 13
Stand mount 14 Longitudinal axis of the laser distance-measuring
instrument 15 First measuring position 16 Second measuring position
17 Correction A Pipe B Point of intersection of the horizontal and
vertical axes of rotation C Lower measuring point D Upper measuring
point
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