National Grid References

Norden's Hampshire 1595
NGRs Simple mathematics was used to crudely superimpose the national grid on Norden's map. The difference between the map projections used by the NGR system and used John Norden has been ignored. 'Centres' of the the old and the Ordnance Survey maps of the county were superimposed at an average position of twenty or so prominent towns; the orientations and scales were matched by averaging the directions and distances of these places from the centres on each map; it is then possible to draw the NGR from the modern map upon the image of the old. The calculations were done by a computer using a program written by MN, OLDMAPS.exe; fuller notes about the process are provided in the software notes, OLDMAPS.rul.

File NRD5PTS.txt has readings of positions of recognisable places on the old map, using (x,y) coordinates on the old map.
Points
file		 


file: NRD5PTS.txt

@pl New Alresford @ngr SU588326 @xy (3152,1986) 
@pl Alton @ngr SU718393 @xy (3720,1466) 
@pl Andover @ngr SU365458 @xy (2002,1566) 
@pl Basingstoke @ngr SU634527 @xy (3320,962) 
@pl Beaulieu @ngr SU386023 @xy (2288,3706) 
@pl Bishops Waltham @ngr SU555177 @xy (2970,2726) 
@pl Bramdean @ngr SU609278 @xy (3268,2154) 
@pl Burghclere @ngr SU469610 @xy (2414,796) 
@pl Cosham @ngr SU661055 @xy (3550,3436) 
@pl Eastleigh @ngr SU456189 @xy (2426,2774) 
@pl Fareham @ngr SU575061 @xy (3242,3274) 
@pl Fordingbridge @ngr SU150145 @xy (1238,3266) 
@pl Gosport @ngr SZ616998 @xy (3370,3696) 
@pl Hartfordbridge @ngr SU775578 @xy (4054,616) 
@pl Havant @ngr SU717062 @xy (3834,3264) 
@pl Horndean @ngr SU706131 @xy (3654,2864) 
@pl Kingsclere @ngr SU525586 @xy (2722,760) 
@pl Liphook @ngr SU841314 @xy (4240,1780) 
@pl Lymington @ngr SZ322954 @xy (2042,4012) 
@pl Lyndhurst @ngr SU298082 @xy (1916,3484) 
@pl Odiham @ngr SU740509 @xy (3732,966) 
@pl Petersfield @ngr SU744235 @xy (3842,2284) 
@pl Portsmouth @ngr SZ632993 @xy (3494,3666) 
@pl Ringwood @ngr SU149054 @xy (1266,3774) 
@pl Romsey @ngr SU351212 @xy (2128,2728) 
@pl Shipton Bellinger @ngr SU233454 @xy (1196,1736) 
@pl Southampton @ngr SU417122 @xy (2476,3282) 
@pl Stockbridge @ngr SU355351 @xy (2002,2098) 
@pl Sutton Scotney @ngr SU465398 @xy (2442,1712) 
@pl Twyford @ngr SU482250 @xy (2542,2498) 
@pl Whitchurch @ngr SU460478 @xy (2422,1232) 
@pl Wickham @ngr SU575114 @xy (3106,3058) 
@pl Winchester @ngr SU478293 @xy (2550,2278) 
@pl Christchurch @ngr SZ159925 @xy (1242,4370) 
@pl Farnham @ngr SU841468 @xy (4286,1170) 
@pl South Tidworth @ngr SU234490 @xy (1236,1664) 
@pl Chichester @ngr SU861048 @xy (4532,3084) 

@sc 4704 @m 48 
@w 5064 @h 4760 
@pix,300

The results from OLDMAPS.exe are given in file: NRD5NGR.txt:-

Map 

  Data file: NRD5PTS.txt
Output file: NRD5NGR.txt


OLDMAPS

Plotting a NGR grid on an old map
version 7.5
MN: 16.1.2002



Given points

 no  place                    ngr         (x,y)

  1  New Alresford            SU588326    (   31.52,   27.74)
  2  Alton                    SU718393    (   37.20,   32.94)
  3  Andover                  SU365458    (   20.02,   31.94)
  4  Basingstoke              SU634527    (   33.20,   37.98)
  5  Beaulieu                 SU386023    (   22.88,   10.54)
  6  Bishops Waltham          SU555177    (   29.70,   20.34)
  7  Bramdean                 SU609278    (   32.68,   26.06)
  8  Burghclere               SU469610    (   24.14,   39.64)
  9  Cosham                   SU661055    (   35.50,   13.24)
 10  Eastleigh                SU456189    (   24.26,   19.86)
 11  Fareham                  SU575061    (   32.42,   14.86)
 12  Fordingbridge            SU150145    (   12.38,   14.94)
 13  Gosport                  SZ616998    (   33.70,   10.64)
 14  Hartfordbridge           SU775578    (   40.54,   41.44)
 15  Havant                   SU717062    (   38.34,   14.96)
 16  Horndean                 SU706131    (   36.54,   18.96)
 17  Kingsclere               SU525586    (   27.22,   40.00)
 18  Liphook                  SU841314    (   42.40,   29.80)
 19  Lymington                SZ322954    (   20.42,    7.48)
 20  Lyndhurst                SU298082    (   19.16,   12.76)
 21  Odiham                   SU740509    (   37.32,   37.94)
 22  Petersfield              SU744235    (   38.42,   24.76)
 23  Portsmouth               SZ632993    (   34.94,   10.94)
 24  Ringwood                 SU149054    (   12.66,    9.86)
 25  Romsey                   SU351212    (   21.28,   20.32)
 26  Shipton Bellinger        SU233454    (   11.96,   30.24)
 27  Southampton              SU417122    (   24.76,   14.78)
 28  Stockbridge              SU355351    (   20.02,   26.62)
 29  Sutton Scotney           SU465398    (   24.42,   30.48)
 30  Twyford                  SU482250    (   25.42,   22.62)
 31  Whitchurch               SU460478    (   24.22,   35.28)
 32  Wickham                  SU575114    (   31.06,   17.02)
 33  Winchester               SU478293    (   25.50,   24.82)
 34  Christchurch             SZ159925    (   12.42,    3.90)
 35  Farnham                  SU841468    (   42.86,   35.90)
 36  South Tidworth           SU234490    (   12.36,   30.96)
 37  Chichester               SU861048    (   45.32,   16.76)
number of points = 37


Centroids of points

(x,y) centroid is  (   28.09,   23.22)
  NGR centroid is  SU517252
    numerical ngr  451.74 125.25


Map scale

scale =     1.80 (New Alresford)
scale =     1.84 (Alton)
scale =     2.15 (Andover)
scale =     1.91 (Basingstoke)
scale =     1.93 (Beaulieu)
scale =     2.55 (Bishops Waltham)
scale =     1.76 (Bramdean)
scale =     2.14 (Burghclere)
scale =     1.96 (Cosham)
scale =     1.73 (Eastleigh)
scale =     2.12 (Fareham)
scale =     2.16 (Fordingbridge)
scale =     1.98 (Gosport)
scale =     1.88 (Hartfordbridge)
scale =     2.10 (Havant)
scale =     2.37 (Horndean)
scale =     2.09 (Liphook)
scale =     2.04 (Lymington)
scale =     2.02 (Lyndhurst)
scale =     1.96 (Odiham)
scale =     2.18 (Petersfield)
scale =     2.02 (Portsmouth)
scale =     2.05 (Ringwood)
scale =     2.31 (Romsey)
scale =     1.98 (Shipton Bellinger)
scale =     1.81 (Southampton)
scale =     2.17 (Stockbridge)
scale =     1.90 (Sutton Scotney)
scale =     1.84 (Whitchurch)
scale =     2.18 (Wickham)
scale =     1.86 (Winchester)
scale =     1.95 (Christchurch)
scale =     2.00 (Farnham)
scale =     2.11 (South Tidworth)
scale =     2.17 (Chichester)

map scale  1 to   202904
  (range   173253 to   255085)

or         1 to   202000


Map heading

Map heading
NGR north on map is 8.2 degrees from map north



Check points

 no  place                    true        map         error
                              ngr         ngr         Km

  1  New Alresford            SU588326    SU599333    1.30
  2  Alton                    SU718393    SU728421    2.97
  3  Andover                  SU365458    SU380450    1.70
  4  Basingstoke              SU634527    SU662533    2.86
  5  Beaulieu                 SU386023    SU375012    1.56
  6  Bishops Waltham          SU555177    SU541189    1.84
  7  Bramdean                 SU609278    SU617296    1.97
  8  Burghclere               SU469610    SU485593    2.33
  9  Cosham                   SU661055    SU637030    3.47
 10  Eastleigh                SU456189    SU430196    2.69
 11  Fareham                  SU575061    SU580071    1.12
 12  Fordingbridge            SU150145    SU177131    3.04
 13  Gosport                  SZ616998    SZ593983    2.75
 14  Hartfordbridge           SU775578    SU820581    4.51
 15  Havant                   SU717062    SU699056    1.90
 16  Horndean                 SU706131    SU674142    3.38
 17  Kingsclere               SU525586    SU548591    2.35
 18  Liphook                  SU841314    SU823342    3.33
 19  Lymington                SZ322954    SZ317958    0.64
 20  Lyndhurst                SU298082    SU307068    1.66
 21  Odiham                   SU740509    SU745521    1.30
 22  Petersfield              SU744235    SU729253    2.34
 23  Portsmouth               SZ632993    SZ619985    1.53
 24  Ringwood                 SU149054    SU168028    3.22
 25  Romsey                   SU351212    SU372213    2.10
 26  Shipton Bellinger        SU233454    SU213440    2.44
 27  Southampton              SU417122    SU425092    3.10
 28  Stockbridge              SU355351    SU365344    1.22
 29  Sutton Scotney           SU465398    SU464408    1.00
 30  Twyford                  SU482250    SU462248    2.01
 31  Whitchurch               SU460478    SU474505    3.04
 32  Wickham                  SU575114    SU559119    1.68
 33  Winchester               SU478293    SU470292    0.81
 34  Christchurch             SZ159925    SZ146909    2.06
 35  Farnham                  SU841468    SU850463    1.03
 36  South Tidworth           SU234490    SU224453    3.83
 37  Chichester               SU861048    SU844072    2.94

                                                   average
                                                      2.24


Map sheet corners

 bottom left SY885867
    top left SU024823
   top right TQ041676
bottom right SZ902720


Grid lines

x positions on bottom and top edges,
y positions on left and right edges,
by which to draw lines on map

easting grid lines

Eing      bottom edge    top edge

 390          0.71          6.19
 400          5.69          1.21
 410         10.67           3.77
 420         15.65           8.75
 430         20.63          13.73
 440         25.61          18.71
 450         30.59          23.69
 460         35.57          28.67
 470         40.55          33.65
 480         45.53          38.63
 490         50.51          43.61
 500         55.49          48.59
 510         60.47          53.57

northing grid lines

Ning      left edge      right edge
  80         3.38           3.96
  90          1.60           8.94
 100          6.58          13.92
 110         11.56          18.90
 120         16.54          23.88
 130         21.52          28.86
 140         26.50          33.84
 150         31.48          38.82
 160         36.46          43.80
 170         41.44          48.78
 180         46.42          53.76
 190         51.40          58.74


Grid baselines

10Km square corner with
northsouth and westeast grid line points,
by which to draw lines on map

  NGR base point  SU517252
  x,y base point  (   27.61,   20.54)

        mark x,y  (   26.90,   25.42)
        mark x,y  (   26.20,   30.30)
        mark x,y  (   25.49,   35.18)
        mark x,y  (   24.78,   40.05)
        mark x,y  (   24.08,   44.93)
        mark x,y  (   23.37,   49.81)

        mark x,y  (   28.32,   15.67)
        mark x,y  (   29.02,   10.79)
        mark x,y  (   29.73,    5.91)
        mark x,y  (   30.44,    1.03)
        mark x,y  (   31.14,   3.84)

        mark x,y  (   32.49,   21.25)
        mark x,y  (   37.36,   21.96)
        mark x,y  (   42.24,   22.66)
        mark x,y  (   47.12,   23.37)
        mark x,y  (   52.00,   24.08)

        mark x,y  (   22.73,   19.84)
        mark x,y  (   17.85,   19.13)
        mark x,y  (   12.98,   18.42)
        mark x,y  (    8.10,   17.72)
        mark x,y  (    3.22,   17.01)
        mark x,y  (   1.66,   16.30)


Norden's Hampshire 1595, index grid
General index
Old Hampshire Mapped
Map HMCMS:FA1999.58