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OVER 2 YOU, 074 (02/04/02)
GETTING A BEARING
It
should be possible to compute bearings and distances on Ordnance Survey maps by just entering the six figure map references of start and finish
points. Does anyone know how? Do
I need a program or just a formula?
Cliff Mallinson, North Somerset
You
do not need a special program but the following works with Excel. Enter the start and finish map references as six figure values.
The
bearing is given by:
=MOD(DEGREES(ATAN2(MOD(finish,1000)-MOD
(start,1000),INT(finish/1000)-INT(start/1000)))+360,360)
This,
of course, is a Grid bearing; it may be necessary to convert it to a True
bearing or a Magnetic bearing.
The
distance, in metres, is given by:
=SQRT(((MOD(finish,1000)-MOD(start,1000))
^2+(INT(finish/1000)-INT(start/1000))^2))*100
Alex
Duffus,
It is quite easy to obtain the distance between two
points on an OS map, an old Greek chap called Pythagoras gave us the
formula some time ago.
First get the differences between the
coordinates
diffEastings = Val(Eastings2) - Val(Eastings1)
diffNorthings = Val(Northings2) - Val(Northings1)
Then use Pythagoras to get the hypotenuse
Result = Sqr((diffEastings ^ 2) + (diffNorthings ^
2))
Where Sqr is the square root and Caret ('^')
represents 'raised to the power of’. This formula can be condensed
down easily and put into a single cell in a spreadsheet. Taking
the bearing is more complex and involves obtaining the Arctangent of the ratio
of the distances.
Angle = Atn(diffEastings / diffNorthings)
However, this only gives the correct result if the
direction is to the North-east. You will have to add a factor to turn the
angle in the right direction. Also the chances are that the function Atn
will return the angle in Radians, so you will have to multiply the result by
57.29 to get the bearing in degrees. (I have a little program in VB6 that
does this) A further function will give the angle in mils.
This is the basis behind much map-making software,
but it also has to borne in mind that if you went out with a
theodolite and measured the true distances, you will have allow
for the differences between OS Grid North, True North, the curvature of
the Earth and the minor distortions present in producing a flat
map. Also GPS may not accurate enough for what you may be
planning. I
still maintain that a pair of dividers and a protractor may be quicker...
Matthew Williamson, Hounslow, Middlesex
A
quick trawl on the net revealed a website at: www.andyholden.freeserve.co.uk,
which contains a bearing and distance calculator, albeit only for users of
Microsoft's Internet Explorer. Just enter the numbers and click the button.
Alex
Cartwright,
Try http://www.multimap.com
if you enter start and finish postcodes you will not only get distances but a
map as well.
Roy Wiggins,
If Mr Malinson is happy with accuracy of better than
1 in 2000, then he can treat the 6 figure reference of a point as its
distances in metres to the east and north of an arbitrary datum, and can
do the calculations on a calculator. If the references of the two
points are E1, N1 and E2, N2 then the distance between them is Square root of {(E2 - E1)
squared + (N2 - N1) squared}
It is usually convenient to divide all the references
by 1000 before putting them into the formula as this will give the answer in
kilometres and will avoid over-reaching the number of digits the calculator can
deal with.
For bearings, the formula is: Arctan {(E2 - E1)
/ (N2 - N1)}. If (N2 - N1) is negative you have to add 180
degrees and if the answer still comes out negative you have to add another
360. This gives bearing relative to grid north, but the local difference
between grid north and true north, typically up to about 2 degrees is given on
the OS Landranger maps.
For surveying accuracy he should see the
Ordnance Survey paper The Ellipsoid and the Transverse Mercator Projection,
which gives the necessary formulae.
Ken Brown, Portishead, Bristol
USING
OLD PCS
I have a small
collection of four PCs, from 386 to Pentium 1, all of them perfectly
serviceable but woefully out of date by current standards. I have promised them
to my son’s school and a local charity shop – not that either seemed terribly
impressed -- but I was wondering if anyone could come up with a suggestion for
using at least one of them in a practical way, doing something around the
house, even if it’s only switching the pump in my fish pond on and off? I would
like to get back just a little of my initial investment
Doug Steele, via
email
I use a 233 MHz PC as an audio recorder, recording
24 hours per day in MP3 format. This makes a file of 1.3Gb for 24 hours. I
record classical music but of course anything that goes into the soundcard can
be recorded even a microphone that could be used for security purposes,
birdsong etc. One can easily slice out the recording the parts that are
required. All the software required is freeware.
Derek Horton,
Doug
Steele might be interested in this site, which I found at: http://www.oldcomputers.cjb.net.
Be careful of the Active X window, which opens automatically
Sandra
Worden,
CHESS CHAMPIONS
We read a lot about
chess grand masters playing powerful computers, but has anyone pitched
commercially-available chess programs against one another, and if so, which one
won?
Jane Knight, via
email
My
fourteen-year-old son is a keen chess player of a reasonable standard and he
has played several chess programs under both windows and Linux. In expert
mode, I think he wins two out of three games. He still plays them so I
think they must be a challenge to him but he isn't a chess master and I doubt
the programs would be a challenge to such august people
Ian Jones,
It
reminds me of the old story of the two most powerful computers in the world programmed to play each other at Chess.
Computer 1 [White] d2-d4
Computer 2 [Black] After 1 nanosecond - Resigns…
Richard Darnell, Tadcaster, North Yorkshire
EMMIGRANTS ON LINE
I
have read that there is a site that lists the 20 million emigrants into the
United States of America. Please can anybody come up with the address that my
web search has failed to find?
Barry
Hill, via email
Further to responses given to Barry Hills request,
may I advise that the records included on the www.ellisislandrecords.org are
not infallible. Having searched both their web site on records on Ellis
Island itself and not found what we were looking for, we had more success when
in New York by visiting their National Archives & Records
Administration.
Useful Internet sites for tracing people in USA are their White Pages phone
book & Social Security Death Index plus Civilian Draft
Registration Database all accessible through www.cindislist.com
Ewan Cappitt, Peterbough
SCHOOL DINNERS
I retired from teaching long ago - but still hear
horror stories about the clerical time taken up with dinner money
administration. Does anyone know of a simple, cheap (preferably free!), stand-alone
program, which would help in a largish primary school?
Ray Glover, via
email
Rodlan
Administrative Software's School Lunch (Mac and Windows) accounts for all money
and lunches eaten by students and adults. School Lunch replaces old ticket
based programs with an easy to use computerised
system and can use bar coded lunch cards in conjunction with a bar code reader http://www.rodlan.com/
Jeff Ross, Stockport
SAILING
LAPTOP
Later
this year I will be off on a sailing adventure lasting approximately five
months. The accommodation on board will be fairly rough and ready, with a damp
salty atmosphere. Can anyone recommend a laptop or portable PC that will be
able to endure this kind of hostile environment?
Janet
Leslie, via email
Janet may want to try a Laptop by a company called Itronix, they have a machine called the GoBook Max which has been designed and fully tested to meet or exceed all military standards for ruggedization, including shock, drop, vibration, extreme operating temperature, water, condensing humidity,
dust, and salt fog. Built and designed with the military and other demanding
occupations in mind, the GoBook Max would be the perfect laptop to accompany
Janet on her trip. For further information contact Itronix at www.itronix.com
Jubi Nawras,
CAN
YOU HELP?
I
have an interest in long-term weather prediction (for personal holiday planning), and used to appreciate the occasional view of the polar pressure chart on the BBC weather forecast. I have searched high and low on the
web
but can’t find a current polar chart. Does anyone know of a site where it
is available?
Doug Elliot, via email
Can anyone recommend an offline browser for reading
newspapers? I merely want one that will work in the background – so that as I
tick each story I am interesting in reading from the index – it will
automatically start downloading. At the moment Internet Explorer demands that I
await the full downloading of each story before proceeding to the next. An
American company provided an excellent piece of software called Spoton that did
precisely this but sadly no longer provide this service.
John Murphy, Bouniagues, France
Does anyone have formula or system, which
ensures that 12 golfers playing 5 games of Fourball golf play with each
other player approximately the same number of times? We have spent considerable
time producing various formats by scrolling vertically and horizontally, but
find that whilst we can achieve a perfect spread for one or two players, others
play with one player 4 times and others not at all.
Roy Saunders, via email
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