Manual To Read Survey Map
Manual To Read Survey Map
BOMBAY
GoVERNMENT CENnw. PRESs
1974
CONTENTS
CHAPTER PAGE
A
-
A
-l>
4 4
c:
l'he area of ABC=6x4/2=12 and 4+2
lbe area of ABCD= 6x =18
2
2. In order, th~~ore, to measu.re any piece of .ground it is
c.nly n~ssary to diVIde up ~c area mro nght angled triangles and
trapez1a rand measure thCU' bases and perpendicular$ ; an.d the
.J
areas of these triangles and trapezia individually an then at onc:c
be found by multiplication and !he area of lhe whole by adding
diem aU togethu•
.3. Two ~struments are, therefore, required..:...
(a) one to divide the area into triangles and trape;Ua,
(b) a second to measure !he lengths of the bases and pcrpclldi•
culars. Tbe instruments are the Cross-Staff and the
Chain.
"4. The Cross-Stall.;_ The Cross-Stall is a very simple inst!11mcm
Jor laying of perpendiculars to a given chain line. This consistS·.
CJf a stalt about I.SO metres long and. about 1.5 centimetres in
diameter having a piece of woOd at the top, called the head about
10 centimetre square. On the upper surface of !he head two
grooves are cut about a centimetre deep and at right angles to
each other crossing in the cenrre. The stall is sharply pointed at
\he lower end so that it can be stuck into the ground. In an im·
proved form the head is made of iron w;th 4 fl:rps bent up at
right angles and containing slits which serve the purpose of the
grooves in the simpler form of instrument. To divide up any
area into right-angled triangles and trapezia with this instrument
it is only necessary to take a base line from one corner of the
area to another ; then by moving down Ibis base line with one
groove of the· Cross-Stall in the same straight line, r:ght angles
can be observed to all the comers of the area in tum by means
of the other groove and the whole area thus divided up into righ~o
angled triangles and trapezia.
Thus:-
I!
I
I
I
I
- .. ~ I
'r '~ II I'
I -~ I
I .... , I
I '-,._ I
I '.,. I
I ~.. I
.
I ..... (.,
I ..,
•
4
To divide the atea ABCDE int~ right-angled triangles and,
·trapezia, it is only necessary to fix a base line A C : then by
moving along from A to C right angles can easily be for11;1ed to
the pomt& B; E' and D and the points F. G and H fixed .
. ·The area is now divided into the right-angled triangles AFB,
FBC, DHC and EGA, and the trapezium EGHD. We have now,
therefore, only to measure their base lines and perpendiculars and
the area of the whole can at once. be found. This measurement
.ia dllne .by means of ·
. ·s, ,:The Chain.- The' Chain prescribed under . the Bombay
.Weights and Measures (Enforcement) Rules is the Standard,
Metric Chain measuring 20 Metres divided into 100 link.s,
Measurements of lengths are to be expressed in terms of chains
and links. The mode _of writing prescribed is as shown below · ~
3 Chains and 6 links is wntten as 3-06.
6-2730.
6
1Dc product 15 6.27 square dlams. Eac~ cha10 Ill equal · to
4 Ares. 1'be area ts. therefore. 25 Ares or 0.25 Hectares.
1Dc areas are bcmg wunded off to the dillerenr degrees of accu-
racy according to the class of land and its non·agriculrural usc
and value- ,
(I J In case of Drv crop dass. the areas arc ro be rounded oft
to the nearest Are.
(2} In case of nee and garden classes. the areas are to ~
IOUIIded off to the nearest one dtgu of dem1cal of an Are.
(3) In case of land used for non-agncultural purposes. the area
b to be worked out to two digitS of dem1cals of an Are.
(4) In case of city survey properties the areas arc to be wo1ked.
out in square merres up to one digit of decimal.
7 To n:rurn once more to ow example, we have to find the
.•IQJ of-
~
DHC
\Right·anglcd triangles
EGA
EGHD Trapezium
t.. explained in paragraph ~. the area of a rigbt·angled uiangle =
the base 11 half the ~ ·
7
:1·02
The area of AFB therefore=0·14x·- or I·St
. l
Working. 0111 'his ~um
0•14.
• )( 1·51
0 l 4
0 7 O>e
0 I 41( l(
0 · 2, I I " Square chaJns.
~ly, ~he atea fBC equals.
3i02
6.Z6· X - o r I·SI
l
. 6·26
x I ·'j I
626
3 I 3 Ox
626x>e
9 · 4 5 2 6 Square choun.,
U1d the area or DHC -equals
. . 2·06
1·03 X - or I·OJ
2
1·0)
)( 1·03
309
10}><>(
I 0 6 0 9 Square chain&
8
ad Of EGA
2·08
· {0'14)+ (1-12)-= 1·26 X - o r 1·04
2
l·26
xi·04
504
t 2 6xx
. I · 3 'I 0 4 Square chains.
There remains the trapezium EGHD. As explained in puagraph l
the area~f a trapezium =the base X l the sum of. the perpendi-
culars. Hence the area of EGHD = :·
'
(2·08 + 2·06) .
(4·11) x. or 2·07
2
4·11
x2·07
2877
82.2xx ·
8 · 5 0 7 7 Square chaine
a. Adding these totals together the restilt is die an:a of die wl'tole-.
AFB = 0·211.4
FBC = 9·4526
DHC = 1-0609
EGHD · = 8·5077
EGA '= ·- 1·3104
20·5430 Square clulina
· · X 4
82-1720
9
But in making up the final area the rounding is to be done up
to the full Are. Hence in the present example the final area will
be 82 Ares.' i.e., 0.82 Hectares.
-----
..
"By the means described above· the area of any piece of ground
ilf a. reasonable size can be found. There are of course intricacies
which ·will be 'dealt with later on btX the basis of all measure-
ments by chain· and Cross-Staff is the same. Other details arc
JPer~ly refinements.
10
CHAPTER II
THE USE OF THE CROSS-STAFF AND CHAIN
I. The Cross-Staff.- The use of the Cross-Staff is to tak~ ri~ht
angles from thl!' base l_ine 1~ the corners. of the flo~ whtch
. is to be measured. Ftve. mmutes prawce tn the liel with the
instrument is of course worth pages of talk on the method of
doing it, but there are certain points to which auention may here
be particularly directed. •
2. In using the Cross-Staff the first essentials arc-
(12) accuracy.
(b) quickness.
Upon the point of 'accuracy~ there ts no need to dwelf. Inaccuracy
in taking an angle can only be due to ~ere car~l($$1\ess to guard
tgainst which no rules can be {ra~l"tl ·
3.. Qu,cknm, however, is a· different matU:r ana: iO~·~this point.
help ain ··be. gi.1£CO....,. ·
The next step is to take ~he angle. The simplest way to ge~ the
approximate position is for the measurer to stand in the base line and
take the approximate angle across his chest to the offset flag. Having
done this he can then drive in the cross-staff and the -posi~ion will no&
be far wrong.
· If it is wrong then he should at once decide how far forwards or
backwards he should go to find the correct position. It is a simple
thing to decide whether the angle has been taken correctly or not. If
it is found that the object is to the left. or right from the approximate
position he has selected he must at once move towards left or right as
the case may be. For this purpose it is necessary to use the judgment
as to how far is the object from the point he has sighted and to imme-
diately move forward or. backward approximately that much distance
to arrive at the desired point.
ch.;,
-------..I
I e. ch~n
-----J c
6o60 f'
II •
~.. I~ ... , I I
...t' ,I
0
~-~.. .......... X~ ,.
b J·, I 'Ill
I
(c) The measurer will next proceed to select the Base line. Thi•
should generally be the longest line between any two c.orners of the
numbCl'll : as AB.
19
(d) Having decided on the ba><e line the base line ftug win next
-be fixed. Proceeding to A and looking along the line AB the mea~~urer
will have a flng fixed directly upon the base line cks• to its further
end as at F. A pit will be dug to mark the place.
(e) The measurer will next draw a long broken line Jn hts field
book to represent the base line in such a way that the north wtll
~orne at the top of the page.
(j) He can now start to measure taking care first to eount tho
arrows in the hands of the Foreman to see that these are exactly
10. Beginning from the pomt B he will measure up to and cake
the offset at the point G, chaining and offsettmg bemg e&rrted ou'
as described in Chapter II.
(g) After the point G, he will enter m Ius field book ~he measure-
ment, in nhllins and links.
{h). He will then go to E arid measure (rom E G. draw the
'OfUet ill his field book in a broken ·line and write down the-mea-
aurementl. EB will then be joined by an unbroken line.
l•) All the ·base lines and oft'sets-at H and J will then be mea-
sured in a similar way and entered -in broken lines in ..the-field
book, the boundaries of the field be~ shown-in unbroken line10.
(i) Mter the- offsets and base lines the boundaries of the field
will be-measured. and-the measurements_ entered in the field b09k.• •
•1. If tbe mearunr hu two c:haioa !he llaJidh Mopo may be meuured aimulta·
-UI17-'Irith the booe liDellllll offoeu.
2. 111 the KoDb11 tbe Bllldb Mlpe - DOt m-ured.
20
.
In auch cases the measurer will select two or more ba&e linea
as may be necessary and iake the offsets to the comers from them. .
In the example given it will be seen that there are three base 'lines1:
i.e., AB, BC j!Jld DE. Had one base line only been selected 80JIIe
of the offsets would hav~ been very long.
-----~
I
.J____
I ,,
////.
__ ..J
I \"-
\ " ,
,
I \ ', /,
: \ '/
\\
\ '"" ,,, , ...
\
\ ,...,,
....
I \ / / '',,
I \ A
IL ____ . \ /. ",
11' - ---------·..,~;-------
_,,-/c. ~--
.I
I
_._....-""""""" ---
---"
'\
&
21
4. To measure two numbers on one baM Hue.-The
only precaution to be observed is that the .incasuter must mark
the point where the dividing boundary ofthe· numb~ra cute-the ·b•e
line. The quickest way to find this point is for the measurer .~.
taking the offset at C to D to go to the point D and move a Bag-
holder up the base line till the flag-post is in a straight line on the
base line at E between 0 and F which will be the point required.
II I
I
.
I I
I
fl --~----
I___ ,__ ----·-'------J
I 'l) E C:.
I e I
I
I
I
I
I
I
I
..
6. Avoiding an obstacle in the base line.-It occa.siona.lly happens
that the most convenient base line is obstructed by im obstacle such as
a well or small tank, etc., which cannot directly be chained across.
The measurer. therefore. has to go round it as shown in the sketch
attached. After taking the offset at C he chains to any convenient
point E short of. t-he obstacle. From E he sets off right angle with
the cross-staff from the base line to any point F and from E F be sets
off a right augle to any point G and from G F a right angle to the base
line cutth1g it. at H. Then G F (2 chains 04 links) = H E which is the
distance required to he measured.
23
A ---- ------. e
Jloto.it
I I
f
A I I
1 Ric.e I
-,----'---r------1
f . f I·-- -
J :
I
I
I
•
II
I
• E I :
! ~~
A.. _________.L_____ J- -~-L
.... ___ _j6
I
I
I
I
I I
I II
i---·-----
/~
1
I
I
I ' I
I
I
"- \
~xl. .•
,_,o , ___
..... ............ _.
..... _____ o.o,
c.
I
I I
l~·oo 2- :!.eo
1 I
__ _._,____ .J ____ ~__J'.:..?-.:!!~l
I .
3
?.·oo 1 ~·• \"lo 1 ~ 000 -~,i:1-- "1 :jq7" - 8
i I
71 I , ./L
I ·l ~ 1 ~
ls·•+ ' ,,.~, ls""s
lI I
_j_•------ F
e
I
,' :~lt U(
!~.§·•• ~
I •
I I
ti ~-:"5Q
\
,,
\ I
I
~,
'
lI \ ' \
I
1
I
\ ~~h~!.:.'=::-----
\ .'Z. ":.l'""\C.
-,en
~b...
..... - -... , I
I
ft ' \ 15 c:.\\a.\'ft,$,
" I
\ I
\ I
'" E
Ca 41:30-lo
34
CHAPTER IV
THE USE OF THE SURVEY TIPPAN
Fi-td E'~"'''"
fi,\I.YC. 1
f
f\
f
38
I
I
I
I
1"1.-\'l:
I J)
I
I
c
To relay the old boundary the measurer has only to set up the
old base line AB. Then by starting from A and measuring 3 chains
00 links along AB and laying out an offset of 2 chains 14 links the ·
missing point C is fixed and by fixing the point M on the base line
and laying an offset of 2 c;hains and 04 links, the point E is fixed.
2tul-Example.
It may, however, be not necessary to fix the old base line in order
to find• a missing corner, e.g., suppose the comers A and D are in
existence, .that B and C cannot be found but that there are in the
field boundary strips or hedges running in the direction of AB and
DC then the measurer has only to measure 5 chains 04 links, from
A along the s~ip .!lLhedge...and ~-~hains.-03--links from D and the-
point B and C may be taken as fixed, BC being measured as a check.
39
1\ r-_ _ _ _ ___;,l>
'.'
....~------;;--:-:::----~
1·06 c.
0
..
I \
I . \
~-~----·--------'-----~
c
8·05
3rd Example• .
This example shows how comers may be fixed by intersection.
. Suppose the comer E- be lost. Then measuring 2 chains
06 links from D and 3 chains 02 Iinke from A, die corner E wiU
b~ found at their point of intei'JCCtioa.
40
l>
Thus in the example given, the points A and G are lost : but. the
pointR C D E B F are still as they were. In this case, the measurer
will first fix the point H by intersection by measuring ·1 chain and
26 links from .. B ·and I chain 5o!. links from E and finding the point
·where they meet (first stage). He will then produce the line B H (2nd
stage) and if the offset therefrom -at J to the point D comes at 63 links
and is 1 chain 63 links in length, •he will" know that he bas fo11nd the
old base line correctly and .can proceed to fix the other comers of the
Number by prod11cing .the base:line and taking the neceSR&ry offsets
according to the tippan. The- potnt A will finally be fixed by a IJleasure-
ment of 1 chain and 38 links from .the point. L at the oltset to .C.
41
4
S:1'31a.1'e X • AcconCiY13 +o ihc. TitPta.TI.
'
~~~~~~~--
[~---
0'25 :r
·-- _.,___ 6
A 0 '91. 1"70 0"38 : 0'63 : 1"26
I
1. 51 I,
I 1 •6
c E
"
42
Figure m Method of measurement.
••
-i...;.- --·· B •·-- --- ·---. --- B
:"'1.26
I
·· I .
1'26
I I·Sl 1' 51
I
II
44
.., . ..,.......... \
'' _.o"'r··
",-~".
.... , '\
\
\. I
.,.,os \ ,,.--~~
'
\
c;---~':2·'. :;,· :. ·___....:__ _l ,...."~··I)(
I
4S
Agt:in the measurer might draw a sketch of the number to seale.
The points A and B can then be fixed by scale from a base line taken
from CE. This base line can then be set up in the field and these
points fixed accordingly. This wiU give the old base line.
Or the tippana for the adjoining Numbers may be obtained and the
pointa ·fixed from these Nuntbers.
11. A certain amount of common sense is required for replacing
missing stones correctly. It is usually possible to tell from the
ground the spot where the stone should be. Unless the measure-
menta lead to somewhere near this spot, it is to be suspected that
some mistake has been made either in noting or reading the measure•
ment in the tippan which should be rectified before proceeding fur·
ther. In a boundary dispute case, the surveyor should first go round
the field ana find out what boundary marks are available on the spot
and how many of these marks can be treated to be intact and can be
relied upon for refixing the lost corners or boundary under dispute.
After the boundary marks are inspected and the boundary
marks that can be relied upon are ascertained, the next step would be
to find out the best method by which the location of the lost comers
can be found out quickly and correctly. While fixing the lost corner
or the boundary under dispute, it is always necessary to see that the
location of the lost corner is fixed with reference to the tippans of the
Survey Number under dispute as well as the adjoining Survey
Number. If this is not done, there is likelihood of the same point
being fixed at two different places on the spot even though not far too
part, with reference to the tippans of individual Survey Numbers,
separately.
For Examp/8-
In the below mentioned case the boundary mark of Survey Number
108 at •X' is lost ana is to be refixed. Then looking to the map, it will
be seen that corner falls on the common boundary between Survey
Numbers 107 and 106. On reference to the tippan, it is seen that
both the Survey Numbers are measured in the past on a common
base lineAE. On going round the fields, it is seen that the boundary
marks ABDEG are only available and that at CF and X lost. As
one of the corners of the base line of Survey Number 108 is lost,
the point C will have to be first determined. It can be determined
by intersection of AY and YD and extending AY to C but u any
46
slight difference in the correct determination of point C is also to.
:iffect the determination of point X, to have a further check, it is
necessary to cre~t the base line AE and find out the location of point
X with reference to the offset HX. If there is a slight difference, it
will have to be adjusted by giving preference to the offset HX.
There is not likely to be any appreciable difference unless there is a
mistake in the old measurement hut the location must be fixcj with
reference to offset HX, and ZX. So that even if the adjoining holder
applies for the fixation of the same point the !<:>cation once fixed·,
"'Ould be final and there will be no scope for complaint.
\ , ... "" F
v
\
\
\
S.rto· lo& \
\
.........
....... ........... \
e E
In some districts where the Plane Table method is introduced
eventhough the· old surveys are conducted on cross•staff method, the
measurement is done by Plane Table and the tippan is superimposed
and the location of the lost boundary mark is first fixed on the plane
table sheet and then the location is determined on the ground. For
example, if the boundary mark at X of Survey Number 108 is to be
relaid, the Survey Numbers 108, 107 and 106 are measured ,in a
group. For the sake of measurement, a mark 'X' is put on the
ground where the Surveyor thinks that the location of the last comer
is likely to be. After the Survey Numbers 108, 107 and 106 arc
measured in a group, he marka on the plan the permanent boundary
marks that are existing on the spot. Suppose A B D E G are the
points \\-here the boundary marks are existing and at C and F they
are not in a reliable condition and at X it is altogether lost. The
best way in the above case is to rely on the points A and E as they
are the points of base line. This base line should be first drawo and
the point X determined with reference to offset HX. The base line
AC may afterwards be drawn by obtaioing the point Y by intersec-
tion of AY and YD, and by extending AY to point C. After this
is done the offset ZX may be drawn and it should be seen w'hethcr
ZX and HX meet. If there is any slight difi'erence, it shollld be
adjllsted by relying upon the offset HX rather than ZX and the locn·
tion of point X determined.
12. The village map and Sud.-The village map is a Survey
Record inasmuch as it purports to show all the Survey Numbers-ofa
village drawn to scale. All our old surveys are conducted on foot
pound system and the village maps .a.re either drawn to a scale of 20
chains or 10 chains to an inch. As the scale on which these village
maps are drawn is very small, they are not useful for relaying the
lost boundary mark. However, they are very useful for giving the
correct idea of the location of the field. In Konkan all villages are
provided With village-Suds containing sketches of Survey Numbers
arid Pot Numbers on a scale of 5 or I 0 chains to an inch. After the
introduction of Metri~ System, the measurements are now conducted
in terms of Standard Metric Chains and the village m.aps are being
prepared on the scale -of I : 5 000 and I : I 0,000. In case of old maps
conversion tables are given to enable the reader to conven tho
measurements in terms of old chains into Standard Metric Chains.
13. To use the village map as survey record.- The village
map being drawn to scale, it follows that we have only to apply the
IC&Ie to the figures of the Numbers contained therein in order to
extract the meas\lrements. Thus in the figure given which is drawn
on a &calc of 20 chains to an inch or in Metric Terms I : 7,920 by
Ca 413()--.4
48
applying the scale to the side AB, we find that its length is ·1 0 mllli-
metres, i.e., 79,200 or 79· 2 metres which is equal to 3 chams and 96
links. · Similarly, the lengths of sides BC, DC, DE .and EG can be
found by scaling off the distance.
Again a survey tippan can be formed by drawing a base line and
offsets and writing the measurements after scaling them off. Thus
in S. No. 4, the base line DG is drawn and offsets therefrom to the
corners HF and' E. The measurement of the base lines, offsets
and Bandh maps can then at once be scaled off and a survey tippaR is
ready•
r:..·----- ----------------
1 ' ---- -....7
,,-A ________ ___.. ,. . . . I . -
I '------ . .,. ... I
I /'·,~ -------~----;_;;;r I
I I. I
I -1 I ', ']) ......... · I 1
I ., I - I I
1
~
I'
1
'
I
1
I
~ ............6
1 z I
1
/
L
I
r"~>&•., ••
~T... it\ic-.'tc.
·,.q.
/ £__...<f----.... ·C\ I
/
I
/ /·--- 'l' U.CJ.el..-W11i cede
I
,.,*'
... - ' --
....................
-...
.... ........ ...._~
\
I II
... .._...... ...., ' I
.... .._ ....... ._. \ I I
............ _
................... ,...
.......... .....
.................
\
... .... !J
. - ........... -,~
\I
.I
\ I
I
I
The nwnber is first pricked off from the village map i.t., thl: map
is laid on a clean sheet of paper and pin holes pricked on to the
latter through the comers of the number in the map_. ·These pin
holes _are then joined up and a duplicate of the map ihus produced.
Any central point is then selected and rays drawn out through the
comers of the number. Lengths are then marked off thereon equal
to the distance from the central point to the comers as many times
as the enlargement requires. By joining up th~se points the enlarge-
ment required is produced.
(2) Another .method is to draw' base line and offset inside the
pricked off sketch and then by doubling or trebling the lengths so
obt~ed, the original can be reproduced on double or treble scale.
Ca 413()--4a
6B
CHAPTER V
THE MEASURER'S RECORD
1. Simultaneously with the training in the actual field work of
measurement, the Surveyor must learn how to prepare the mea.aUNo
ment record. This consists o£-
(a) The Kacha tippan.
(b) The Pakka tippan or Kshetra,
(c) The calculation of the· are~.
2. The Ka.cha. tippan.-This is the rough sketch not drawn to
scale showing the measurements as recorded in the field. The form
i11. which it is usually prepared and the de ails given therein are shown
below. These details comprise-
(a) The outline of the Number in unbroken line~ and the b&e9
line and offsets in broken linea.
(b) The measurements. _
(c) The Vasla Numbers, i.e., the Numbers of the different trapeJia.
or triangles in red .ink. ·
(d) The Numbers of the adjoining Survey Numbers.
(e) The boundary marks.
Sl
·· 3.. The Pakka t_lppan or Kahetra.-This contains the same
details as the Kacha t1ppans except that- ·
(a) the sketch of the Survey Number is drawn to s~ale,
M(h) no measur~ments are shown except those of the Bandh
aps. {Except m the Konkan where the Bandh mapa are not
measured.) ·
Scale I : 2,000
-------
r------·-----
I
I
I
r---.-- --·
II
ss
6. To plot a number on one base Une.-(a) First any broken
line is drawn to represent the base line.
(6) Next starting from one end of the base line the distance to each
of the offsets is taken off the scale with compasses and laid down on the
base line. In order to check the correctness of the work the total
length of the base line should be taken off the scale and compared
with the sum of the lengths of the bases of the Vaslas.
(c) Next the offsets should be plotted in. Great care should be
taken in laying off the right angles for the offsets. By means of the
lines on either side of rhe scale this can easily be done.
(f) After looking the pencil work over carefully the whole should
be inked in, the base line and offsets being shown in broken, and
the boundaries in unbroken lines.
(g) The Vasla Numbers should be then written in red ink, the
_- measurements of the Bandh maps only shown thereon and the other
-details added all given in para. 3.
NoTe-In the present and rullowing example• only the actual .rlotting is shown
details beins omitted for the aake of clearneaa.
If
1st stagO
The Kahetta.
Scale 1-2,000
I
1
I
i
I
----l,,-
I
,1
--- ---
2nd stage
I I
I I
f I
I I
cc------·~. ,:.;.....-~-=-=-:=:"'!-~
1
(\-
I
I
••
I
I"
'
t
,.,.,":'
I
''I
J I
I
.-...... :1 I
e. -- I
t I
t
3rd stage
" r---
f
I
I
I
I
I
I
I
I
58
~
A
' ......... I II
.,.., ,' I
I
1) ---:::.,.~,,.,- - I ........... (.. .
"""f-tc.. \<.s~c.h a.
Sc o.l~ ·- I L ooo
• /
(b) In working out \he areas of the Vaslas, the ordinary rule of
rounding is to be observed, i.e., when the area relates to the Dry
·Crop class, the areas of and up to ·S, are to be discarded and the
areas above ·S are to be rounded off to the next higher Are.
Similarly, in case of Riee Class of land as the area is to be rounded
off to the nearest one digit of decimal of an Are, 6·301 ia to be
rounded off to 6·3:
(c) The method of working out the area in the prescribed form
is given below : -
Bue Of[oeta Area
H_...,
of KiDcl of Vul• Lmat"· Sum of tbe ()ffaeta Sumofthe Half the H.ct- Ala
vw lqtba otfscta eumofthe
ol&eta
(I) (Z) (3) (4) (5) (6) (7) (8) (9)
I 6 2·06}.
I·OS
3·11 2·04 2·04 1·02 .. 3·1,722
eo•}
3·04 1-52 ••
D 5-08
6-13
3-01
6·0S 3·02 •• 18-5,126
:r
... 6
Ca 413o-S
B- Oflleta Area
Number
of Kind ofVula Len,th• Sum of the Offsets Sum of the Half the Hec;tares Are.
Vula lenJIIha ofl'.ets aumofthe
otr.eta
(I) (2) (3) (4) (S) (6i (7) (8) (9)
1·04
A 3-02
4·06 0·12 0·12 0·06 0·2436
.,~
0·08
2 D 1-09 1•14 0·57 0·6213
1·01 1·02
3 D
1·01
z.oo
3-01
{ 2·12
4-02
6·14 3-07 .. 9·2407
4 A
0·14
4·16 4·02 4·02 Z.OI .. 8·3616
5 A
4·02
+02 4·02 1·14 1-14 0·57 .. 2·2914
6 D
0·1}
2·00
1·01
O·Oi
3-02
6-25 {'·14}
3·08
4-22 2·11 .. 13·1875
Ca 4130-S•
lase Oil's eta Area
Number ..... ,-
of Kind ofVula Lenrth• Sum of tho Offse10 · Sum of the Half the Hectar• Area
Vula lenrths offleta swnofthe
offleta
(I) (2) (3) (4) (5) (6) (7) (8) (9)
8·12} r·021
D 1·16 3-06 1·53 1·7748
1·8-4 2·04J
2 D 3-04}
5-02
.... r04}
4-04
6·08 3-04 .. 24·5024
E
68
In thia c:aae the boundary of the Survey Number c:roaaes the
base· line. To facilitate calculation of area, separate measure-
ments of the base line from X to P and from P to Z should have
been taken but if instead of two separate measurements the
measurement from X to Z only is taken the area can be calculated
as shown below : -
Multiply the distance between the two oftsets by the difference
of the lengths of the two offsets and divide the product by two.
The product is to be substracted from the area of the Survey
Number, if the length of the offset falling outside the triangle
is longer and to be added to the a_rea of the Survey Number, if
it Is shorter. While calculating the area by vaslewar system,
this is to be done by adding the area of a triangle DZ.X and
substracting the· area of the triangle ZXY. When we add the
area of a triangle DZX we add the area of a portion DPX which
is not included in our triangle but when we substract the area of
XYZ we substract the area XYP, which is outside the triangle
and the area ZPY. The area of the portion ZPY and the portion
XPD is equal to each other deductmg common t::. DPZ from t::.s DXZ
and DYZ standmg (on the same base and between the same altitudes).
So, when we substract the portion of the area DPX which is outside
the triangle and which was added while adding the area of the triangle
DZX is now substracted The examples gJVen above are illustrative
and not exhaustive but they cover mstances of general occurrence.
6. HO}
~·00
3•10 0·118 0·08 0·04 .. 0·1240
2 D 2·03 2-03
{:~} Z.09 1·04 .. 2•1112
'
3 6. 0.04}
3-0S
3-09 2-01 2-01 1·00 .. 3-0900
s D 2•00}
2·03
0·04
4-07 r·02}
4·09
9·11 4-55 .. II-S18S
6 D HO HO
1-02
r·02}
3-IS
9·24 4-62 .. 5·0820
7 6. o-os 0.05
0.05
1-06 1·06 0·53 .. 0·0265
Toto I 3~·1742
,
2 4
9
4·04
9·06
4.()8
9·12
4-12
9·18
4·16
9-24
4-20
9·30
H4
9-36
4·28
9-42
'4-33
9·49
4 16 16-08 16-16 16-24 16·32 16·40 16·48 16·56 16·65
s 2S 25·10 2So20 25-30 2HO 25-SO 25-60 25-70 25'81
N • .e.-Tho ficureo ill the table from one chain OllWada ITO rounded off to tbe neareot•squaR link.
~
74
5. The method of using such a table as expressed in the practical
language of the Varga Mul is as follows:-
(I) To find the 'Bandh Map of a right-angled triangle.-
Square the base and offset, add the results together and find the
square root.
(2) To find the base of a right-angled triangle.-Deduct tlae
square of the offset-from the square of the Bandh Map and find
the square root of the remainder.
(3) To find the offset of a right-angled triangle.-Deduct the
square of the base from the square of the Bandh Map and Aad
the square root of the remainder.
(4) To find the Bandh Map of a trape.aium.-Deduct the
shorter from the longer of the two offsets, square the remainder
and add it to the square of the base ; then find the square root
of the total.
(5} To find the base of a trape.aium.-Deduct the shorter
from the longer of the two offsets, square the remainder and
deduct it from the square of the Bandh M;ap, . then find the
square root of the remainder.
(6) To find the offset of a trape.aium.-Deduct ·the square
of the base from .the square of the Bandh Map, the square root
of the remainder will be the difference between the two offSetS.
Hence if one of the offsets is known the·other can be found either
by adding the difference to, or by substracting the difference
from, the length of the known offset according as the known
offset is shorter or longer.
6. To give a practical illustration of its use.
R J)
/5
In this case, the measurer after measuring the offset at G to B
compares the measurement of the base line (2· 24) and offset (3"36)
with that of the Bandh Map. According to Rule one laid down
above thus-
Square of the base line 2·2-4 - 5·02
Square of the offset 3-36 = 11·29
Add together 16· 31
'
Let A B C D be the tippan of a Survey Number Cwk Figure ll aad
let at be supposed that a.ccording to the decree of a civil eourt it bas to
be divided into two parts in accordance with possess1on. On eom 1ftg
to the field the Surveyor finds that the dividing line of possession ruRI
from E F. He bas, therefore, to divide up the field into 2 pariAI
A B 1 E and E F C D and to lind the a.rea of each. ·
78
F :I.G=V R E =- 1..
' /~
:-...
o·, I "
I I '·t>.
c
I..,_JJ'
,I
c
A
\~~:-~~E~·------~
....................
.......
J)
....... )'...
I I
I "-......._ I
......._ I
I ...............
..............
I ................
I \ .............. ...
B F c
(3) Lastly in order to find the area he will uae the area square ~
(vid~Figure III). This is a sheet of paper divided into small
squares, the aides of which are each S millimetrea as the example
shows.. To find the area, it is only necessary to superimpose
the area square over the ac:ale drawn sketch and count the number
· of aquara w!Wch the sketch covers. Now when the ac:ale of the
sketch is-
Small Red
Squares Squares
Area Area
I : 10,000 or I Centimetre = 100 Metres each = 25·00 625"00
I :" 5,000 or I Centimetre = 50 Metres ,. - 6·25 156"25
I : 2,000 or I Centimetre = 20 Metres , = •I ·oo 25"00
I: ·f,OOOor I Centimetre= IOMetrea 11 = 0·25 .6·Z5
Ca 413()--6
80
F.Z,..UR.E-liL
f 1 q.U R E. '"
[A
~ m r.
_.
~
,
l"ee
M
~
,. Po.
11 !:a
c
The area square will now be IIICiftd 011 to EFCD aad the aru
diacoverecl iD the aame way. The number of squaree wm thea be
found to be S3 ldlll tbe area conrqliCiltly 13-2S Ara.
If theee two areaa be added together they will be found to be
.ZS.SO Ala and to equal the area of the field u found by calc:ulacioa.
The foregoiDg eumple illiiiUIItes 11-dicieady the principia of
the system. It it now, howenr, necmary to go into more detail
regarding the methode to be employed. r
Mt~fllllffllle1lt
r;~.an· Y1
J)
lo·•o Gr
ll
1'•1
\·\'1.-
f
tt
L-~----~----------~c.
lb ?···
83
In this example 11 G E is a straight internal boundary it u only
De<:easary to measure BE, HA, AG and GF.
4. Internal bends must be fixed from a base line which must
~ on fixed points but otherwise must be that which will enable
the work to be done in the quickest way. In the following examples
shown in Figure VII different kinds of base lines are shown each of
which is the most convenient for, the particular case-
f\
I •J~-
£ ".,_,.. r lc. - ~ 1)
111.u c.
~ -vo!>fQ- l't-
84
E::arttph /.-ln this case the bue line is the boundary of the
number. ~ ·
E:lamplt! 2.-In this cue the Number has to be divided into
two parts along A C B. Here the base line is takea
along A B to fix the point C by an offset at D. It will
be seen that it is not necesslll)' to measure DB as well
as A D.
&ltl 3.-ln this case the point is fixed by an offset from the
boundary of the Number and the points D and E from
offsets taken from the original offset as a base line.
A c::
·---~-----
<>mea WoRK
). In plotting it should be a rule to tllke the largett acale possible
aa the larger the acale the smaller the chanc:e of error in calculating
the area. The acale of I : I 0,000 m1111t never be used. Plotting
·must be done very carefully aa everything depends upon ita accuracy.'
2. In caltulating the area, it must be remembered that if the
plotting bas been done com:ctly then the area of the whole number
aa worked out by area square must tally with that recorded in the
Survey Records unless of course the latter are for eome reason or
ether incoJTect.
If, therefore, the difference bclween theae uea worb out at more
than Spercent or the value of 4 small squares at the scale-which-
ever may be least-mistakes must be looked for either in the plot-
ting or in the old measurement as recorded in the tippan or in the
calculation of area by the Survey. If the plotting is correct then the
, old measurements should be mutually tested by means of the varga-
mul. If they are accurate then the area should be recalculate4 from
the old tippan. A mistake is IIIIJ'e to be diacovered aomewhere.
86
Practical Appl~eatlttns of tht Method.
(I) To divide a number into two or more pans according to'
possesSion,•.g.,
under orden of the Civil Court.
This had already been described above.
(2) To divide a number into two or more parts according to
certain areas, •·Q·• accordins to the orders of a Civil Court or for
purposes or cultiVation.
Let A B C D E, Figure IX, be the Survey number whose area ia Z
Hectares and 40 Ares. It is desired to divide it into 3 parts measuring
I Hectare and 32 Area, 58 Ares, and 50 Ares.
FIG-UREU
c:
87
To do this:
(a) Plot the number on a scale of I : 2,000 as in Figure X.
F ,·~l.l ve..X:
E
A I
..... ..... I
I
'-
j' .......
I .......
I .......
'-(,
I I
I '-
....... ....... I
I ......
...... I
I ....... ......I
I ............
2.'4-? F l.. ~0
~
Ca 4136--7 (1,527-9-74)
88
(b) Then with the area square lay down the required areas
on the plotted sketch.
t~i:.r., for 50 Ares 200 Squares as ABFG.
58 Ares 232 Squares as GFHJ.
I Hectare and 32 Ares 528 Squares as JHCDE.
(e) Next take off the distaru:es along the boundary by acale
from
Chains Links
A-G .. .. 2 62
G-J .. .. 2 62
B-F .. •• 2 45
F-H •• 2 50
(d) Lastly, measure these ,d.istances in the field and mark the
corners so arrived at. ·
(1) To measure land to be taken up, e.g., for a Railway road,
etc.
Examplt.-Let A B C 0, Figure XI, be a Number from whiclt
an area as shown in red ink is to be taken up for a Railway.
A
..~-~, .. I>
I
I ...
I
~
F"
c·
89 '
{11) Measure from A E (2 chaine lliDk) and from E F (SO links).
Set up base line from E G and fix points K and J therefrom as
shown: lastly, meeaure D G (I chain 121inb) and G H (60 links).
(b) Plot these measurements on a scale of I . 2,000 as in Figure
XII, an4 take out tile uea of the land for the ~ay and of the
remaining portions by area square. These will be found to be-
H<ctarn Area
No. I 0 42
Railwo7t...d •• 0 14
No.2 •• I 03
ToW .. 1 59
·-
I
I
I
I
I
I
J
0
~
Ca 413()-7a
98
CHAPTER VIII
PRACTICAL MEASUREMENT
1. The practical meaaurement work of the Surveyor chiefly
consists of the following kinds : -
(I) Partition either on application due to new pot-hossas or in
execution of a Court's decree.
(2) Fixing the position of missing marks in a Survey No. either
on application of the occupants or in the course of ordinary work
such as repair of boundary marks.
(3) Boundary disputes.
(4) Acquisition of land for public purposes such as roalls,
achoola, dharmashalaa, etc.
(5) Measurement of lands for Mn-agricultural purposes.
(6) Measurement of lands to be given for cultivation out of un-
aasesaed waste numbers.
(7) Measurement of alluvial lands formed on the bank of nalas
and either· added to adjoining numbers or formed into new
numbers.
(g) In the districts where the Plane Table System is introduced all
holdings physically partitioned are measured and papers in conDcc\ifla
with the formation of new pot-bissa are prepared.
In his forwarding report the Surveyor must call the attention of the
Mamlatdar to these rules, if they apply to the particular case in point.
(d) It may here b,e noted that a similar rule applies in the case of
dilwvian, e.g., where an occupant applies for reduction of assessment
because part of his Number has been washed away by a river or stream.
In such a case he is not entitled to remiss ion unless the area washed
away exceeds l acre and in J?aking h.is report the Surveyor should
draw attention to such facts ~~ the)l ex1st.
'14
CHAPTER IX
The optical square serves the same purpose as that of the crosa-
s!aff, ~.e., dividing the field into right-angled triangles or trape-
z•umr.
.... ... .
....... .... t
....
..........
I
traverse line). These subsidiary base lines are shown on the sectional
sheet in pencil only. The field-book will show the measurements of
base line and offsets on the 3 base lines thus:-
I
I
I
I
I I
i
I
.. -,
..,
•I
-,--••11§0
I t
'I
I
•
I
I
I
I
I
'--·r
I
I I I I 1 I
:a+o
I 1 I I
1 I 12.5 I I
I I
I I I I
'~-~)
~7~ k (----·. I ,,.."" + I I
I I I I
I I I
I I
I
I I
, I I I I
I I I '~o
I
I I I I I
~ "o I
I
I I
t
Si «.rttr(.f1o"' & I
1'~~-S\O.i iol) No ·1
1u ll"ca. ~h:\io1\ H o 1..
4- •00
- -- - - !,••• •·. 0
teo
To"taJ
5l·o ch.Un.s
'2.§.o sWiora No.2
I· o
3·o
5·o
101
Area calculation
'
Product
Chain-line Offset
+ -
2·0 .. 3·0 •• 3·0
2
5·0 .. .. .. 6·0
2
I.S·O ••
Total •• 99·0
Deduct •• 3·0
can ·. be .obtained
. . from~
.
. .\'.
THE SUPERYISQR .· .
Goveri1ment Book. Depot
<for' Ccr~tral Governr;1e11t Publications> ·
Yu~irf B~ilding; .Hornby Roaq, . : .
' .
lJ :loot, Rooni No . .2(
Flora Fountaifl . . . .•• ' BOM,BAY ~1
TH£. SUPERVISOR·
Gover~m\:nt· Book Dep.ot;
Deccan Gymkh_ana, Badwe Building;
B~andar:~ar 'Road, Lane-III .. POONA-4
. '
THE MANAGER :
qovernment Press and Boo!; .Depot,,
I . , .