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heavy¡¡blocks£»¡¡the¡¡support¡¡at¡¡all¡¡points¡¡being¡¡so¡¡complete¡¡as
effectually¡¡to¡¡destroy¡¡all¡¡tendency¡¡to¡¡vibration£»¡¡with¡¡the¡¡object¡¡of
securing¡¡full£»¡¡round£»¡¡and¡¡quiet¡¡cuts¡£¡¡¡¡The¡¡rollers¡¡on¡¡which¡¡the
planing¡machine¡¡travelled¡¡were¡¡so¡¡true£»¡¡that¡¡Clement¡¡himself¡¡used¡¡to
say¡¡of¡¡them£»¡¡¡¨If¡¡you¡¡were¡¡to¡¡put¡¡but¡¡a¡¡paper¡¡shaving¡¡under¡¡one¡¡of¡¡the
rollers£»¡¡it¡¡would¡¡at¡¡once¡¡stop¡¡all¡¡the¡¡rest¡£¡¨¡¡¡¡Nor¡¡was¡¡this¡¡any
exaggerationthe¡¡entire¡¡mechanism£»¡¡notwithstanding¡¡its¡¡great¡¡size£»
being¡¡as¡¡true¡¡and¡¡accurate¡¡as¡¡that¡¡of¡¡a¡¡watch¡£
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described¡¡in¡¡the¡¡Society¡¡of¡¡Arts¡¡paper£»¡¡the¡¡planing¡¡machine¡¡might¡¡be
fitted¡¡with¡¡a¡¡lathe¡bed£»¡¡either¡¡to¡¡hold¡¡two¡¡centres£»¡¡or¡¡a¡¡head¡¡with¡¡a
suitable¡¡mandrill¡£¡¡¡¡When¡¡so¡¡fitted£»¡¡the¡¡machine¡¡was¡¡enabled¡¡to¡¡do¡¡the
work¡¡of¡¡a¡¡turning¡lathe£»¡¡though¡¡in¡¡a¡¡different¡¡way£»¡¡cutting¡¡cylinders
or¡¡cones¡¡in¡¡their¡¡longitudinal¡¡direction¡¡perfectly¡¡straight£»¡¡as¡¡well
as¡¡solids¡¡or¡¡prisms¡¡of¡¡any¡¡angle£»¡¡either¡¡by¡¡the¡¡longitudinal¡¡or
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might¡¡be¡¡turned¡¡as¡¡in¡¡any¡¡other¡¡lathe¡£¡¡¡¡This¡¡ingenious¡¡machine£»¡¡as
contrived¡¡by¡¡Mr¡£¡¡Clement£»¡¡therefore¡¡represented¡¡a¡¡complete¡¡union¡¡of
the¡¡turning¡lathe¡¡with¡¡the¡¡planing¡¡machine¡¡and¡¡dividing¡¡engine£»¡¡by
which¡¡turning¡¡of¡¡the¡¡most¡¡complicated¡¡kind¡¡might¡¡readily¡¡be¡¡executed¡£
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day£»the¡¡earnings¡¡by¡¡the¡¡planing¡¡machine¡¡alone¡¡during¡¡that¡¡time
forming¡¡the¡¡principal¡¡income¡¡of¡¡its¡¡inventor¡£¡¡¡¡As¡¡it¡¡took¡¡in¡¡a¡¡piece
of¡¡work¡¡six¡¡feet¡¡square£»¡¡and¡¡as¡¡his¡¡charge¡¡for¡¡planing¡¡was
three¡halfpence¡¡the¡¡square¡¡inch£»¡¡or¡¡eighteen¡¡shillings¡¡the¡¡square
foot£»¡¡he¡¡could¡¡thus¡¡earn¡¡by¡¡his¡¡machine¡¡alone¡¡some¡¡ten¡¡pounds¡¡for
every¡¡day's¡¡work¡¡of¡¡twelve¡¡hours¡£¡¡¡¡We¡¡may¡¡add¡¡that¡¡since¡¡planing
machines¡¡in¡¡various¡¡forms¡¡have¡¡become¡¡common¡¡in¡¡mechanical¡¡workshops£»
the¡¡cost¡¡of¡¡planing¡¡does¡¡not¡¡amount¡¡to¡¡more¡¡than¡¡three¡halfpence¡¡the
square¡¡foot¡£
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designing¡¡and¡¡executing¡¡work¡¡requiring¡¡unusual¡¡accuracy¡¡and¡¡finish£»
led¡¡to¡¡his¡¡being¡¡employed¡¡by¡¡Mr¡£¡¡Babbage¡¡to¡¡make¡¡his¡¡celebrated
Calculating¡¡or¡¡Difference¡¡Engine¡£¡¡¡¡The¡¡contrivance¡¡of¡¡a¡¡machine¡¡that
should¡¡work¡¡out¡¡complicated¡¡sums¡¡in¡¡arithmetic¡¡with¡¡perfect
precision£»¡¡was£»¡¡as¡¡may¡¡readily¡¡be¡¡imagined£»¡¡one¡¡of¡¡the¡¡most¡¡difficult
feats¡¡of¡¡the¡¡mechanical¡¡intellect¡£¡¡¡¡To¡¡do¡¡this¡¡was¡¡in¡¡an¡¡especial
sense¡¡to¡¡stamp¡¡matter¡¡with¡¡the¡¡impress¡¡of¡¡mind£»¡¡and¡¡render¡¡it
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a¡¡single¡¡page¡¡taken¡¡at¡¡random¡£¡¡¡¡In¡¡the¡¡tables¡¡of¡¡the¡¡Nautical¡¡Almanac£»
where¡¡the¡¡greatest¡¡possible¡¡precision¡¡was¡¡desirable¡¡and¡¡necessary£»
more¡¡than¡¡five¡¡hundred¡¡errors¡¡were¡¡detected¡¡by¡¡one¡¡person£»¡¡and¡¡the
Tables¡¡of¡¡the¡¡Board¡¡of¡¡Longitude¡¡were¡¡found¡¡equally¡¡incorrect¡£¡¡¡¡But
such¡¡errors¡¡were¡¡impossible¡¡to¡¡be¡¡avoided¡¡so¡¡long¡¡as¡¡the¡¡ordinary
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employed¡¡by¡¡the¡¡schoolboys¡¡of¡¡ancient¡¡Greece£»¡¡called¡¡the¡¡Abacus£»
consisting¡¡of¡¡a¡¡smooth¡¡board¡¡with¡¡a¡¡narrow¡¡rim£»¡¡on¡¡which¡¡they¡¡were
taught¡¡to¡¡compute¡¡by¡¡means¡¡of¡¡progressive¡¡rows¡¡of¡¡pebbles£»¡¡bits¡¡of
bone¡¡or¡¡ivory£»¡¡or¡¡pieces¡¡of¡¡silver¡¡coin£»¡¡used¡¡as¡¡counters¡£¡¡¡¡The¡¡same
board£»¡¡strewn¡¡over¡¡with¡¡sand£»¡¡was¡¡used¡¡for¡¡teaching¡¡the¡¡rudiments¡¡of
writing¡¡and¡¡the¡¡principles¡¡of¡¡geometry¡£¡¡¡¡The¡¡Romans¡¡subsequently
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word¡¡to¡¡calculate¡£¡¡¡¡The¡¡same¡¡instrument¡¡continued¡¡to¡¡be¡¡employed
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Exchequer¡¡was¡¡but¡¡a¡¡modified¡¡form¡¡of¡¡the¡¡Greek¡¡Abacus£»¡¡the¡¡chequered
lines¡¡across¡¡it¡¡giving¡¡the¡¡designation¡¡to¡¡the¡¡Court£»¡¡which¡¡still
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a¡¡very¡¡rude¡¡way¡£¡¡¡¡Step¡¡by¡¡step¡¡improvements¡¡were¡¡made£»¡¡the¡¡most
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whole¡¡when¡¡placed¡¡together¡¡formed¡¡the¡¡common¡¡multiplication¡¡table¡£¡¡¡¡By
these¡¡means¡¡various¡¡operations¡¡in¡¡multiplication¡¡and¡¡division¡¡were
performed¡£¡¡¡¡Sir¡¡Samuel¡¡Morland£»¡¡Gunter£»¡¡and¡¡Lamb¡¡introduced¡¡other
contrivances£»¡¡applicable¡¡to¡¡trigonometry£»¡¡Gunter's¡¡scale¡¡being¡¡still
in¡¡common¡¡use¡£¡¡¡¡The¡¡calculating¡¡machines¡¡of¡¡Gersten¡¡and¡¡Pascal¡¡were¡¡of
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trains¡¡of¡¡wheels¡¡and¡¡other¡¡arrangements£»¡¡and¡¡that¡¡contrived¡¡by¡¡Lord
Stanhope¡¡for¡¡the¡¡purpose¡¡of¡¡verifying¡¡his¡¡calculations¡¡with¡¡respect
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bear¡¡for¡¡a¡¡moment¡¡to¡¡be¡¡compared¡¡with¡¡the¡¡machine¡¡designed¡¡by¡¡Mr¡£
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analyses£»¡¡as¡¡well¡¡as¡¡for¡¡recording¡¡the¡¡calculations¡¡when¡¡made£»
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calculation£»¡¡transcription£»¡¡and¡¡printing¡£
The¡¡French¡¡government£»¡¡in¡¡their¡¡desire¡¡to¡¡promote¡¡the¡¡extension¡¡of
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tables¡¡of¡¡vast¡¡extent£»¡¡but¡¡the¡¡great¡¡labour¡¡and¡¡expense¡¡involved¡¡in
the¡¡undertaking¡¡prevented¡¡the¡¡design¡¡from¡¡being¡¡carried¡¡out¡£¡¡¡¡It¡¡was
reserved¡¡for¡¡Mr¡£¡¡Babbage¡¡to¡¡develope¡¡the¡¡idea¡¡by¡¡means¡¡of¡¡a¡¡machine
which¡¡he¡¡called¡¡the¡¡Difference¡¡Engine¡£¡¡¡¡This¡¡machine¡¡is¡¡of¡¡so
complicated¡¡a¡¡character¡¡that¡¡it¡¡would¡¡be¡¡impossible¡¡for¡¡us¡¡to¡¡give
any¡¡intelligible¡¡description¡¡of¡¡it¡¡in¡¡words¡¡¡£¡¡¡¡Although¡¡Dr¡£¡¡Lardner
was¡¡unrivalled¡¡in¡¡the¡¡art¡¡of¡¡describing¡¡mechanism£»¡¡he¡¡occupied
twenty¡five¡¡pages¡¡of¡¡the¡¡'Edinburgh¡¡Review'¡¡£¨vol¡£59£©¡¡in¡¡endeavouring
to¡¡describe¡¡its¡¡action£»¡¡and¡¡there¡¡were¡¡several¡¡features¡¡in¡¡it¡¡which
he¡¡gave¡¡up¡¡as¡¡hopeless¡£¡¡¡¡Some¡¡parts¡¡of¡¡the¡¡apparatus¡¡and¡¡modes¡¡of
action¡¡are¡¡indeed¡¡extraordinary¡¡and¡¡perhaps¡¡none¡¡more¡¡so¡¡than¡¡that
for¡¡ensuring¡¡accuracy¡¡in¡¡the¡¡calculated¡¡results£»the¡¡machine
actually¡¡correcting¡¡itself£»¡¡and¡¡rubbing¡¡itself¡¡back¡¡into¡¡accuracy£»
when¡¡the¡¡disposition¡¡to¡¡err¡¡occurs£»¡¡by¡¡the¡¡friction¡¡of¡¡the¡¡adjacent
machinery£¡¡¡¡¡When¡¡an¡¡error¡¡is¡¡made£»¡¡the¡¡wheels¡¡become¡¡locked¡¡and¡¡refuse
to¡¡proceed£»¡¡thus¡¡the¡¡machine¡¡must¡¡go¡¡rightly¡¡or¡¡not¡¡at¡¡all£»an
arrangement¡¡as¡¡nearly¡¡resembling¡¡volition¡¡as¡¡anything¡¡that¡¡brass¡¡and
steel¡¡are¡¡likely¡¡to¡¡accomplish¡£
This¡¡intricate¡¡subject¡¡was¡¡taken¡¡up¡¡by¡¡Mr¡£¡¡Babbage¡¡in¡¡1821£»¡¡when¡¡he
undertook¡¡to¡¡superintend¡¡for¡¡the¡¡British¡¡government¡¡the¡¡construction
of¡¡a¡¡machine¡¡for¡¡calculating¡¡and¡¡printing¡¡mathematical¡¡and
astronomical¡¡tables¡£¡¡¡¡The¡¡model¡¡first¡¡constructed¡¡to¡¡illustrate¡¡the
nature¡¡of¡¡his¡¡invention¡¡produced¡¡figures¡¡at¡¡the¡¡rate¡¡of¡¡44¡¡a¡¡minute¡£
In¡¡1823¡¡the¡¡Royal¡¡Society¡¡was¡¡requested¡¡to¡¡report¡¡upon¡¡the¡¡invention£»
and¡¡after¡¡full¡¡inquiry¡¡the¡¡committee¡¡recommended¡¡it¡¡as¡¡one¡¡highly
deserving¡¡of¡¡public¡¡encouragement¡£¡¡¡¡A¡¡sum¡¡of¡¡1500L¡£¡¡was¡¡then¡¡placed¡¡at
Mr¡£¡¡Babbage's¡¡disposal¡¡by¡¡the¡¡Lords¡¡of¡¡the¡¡Treasury¡¡for¡¡the¡¡purpose
of¡¡enabling¡¡him¡¡to¡¡perfect¡¡his¡¡invention¡£¡¡¡¡It¡¡was¡¡at¡¡this¡¡time¡¡that¡¡he
engaged¡¡Mr¡£¡¡Clement¡¡as¡¡draughtsman¡¡and¡¡mechanic¡¡to¡¡embody¡¡his¡¡ideas
in¡¡a¡¡working¡¡machine¡£¡¡¡¡Numerous¡¡tools¡¡were¡¡expressly¡¡contrived¡¡by¡¡the
latter¡¡for¡¡executing¡¡the¡¡several¡¡parts£»¡¡and¡¡workmen¡¡were¡¡specially
educated¡¡for¡¡the¡¡purpose¡¡of¡¡using¡¡them¡£¡¡¡¡Some¡¡idea¡¡of¡¡the¡¡elaborate
character¡¡of¡¡the¡¡drawings¡¡may¡¡be¡¡formed¡¡from¡¡the¡¡fact¡¡that¡¡those
required¡¡for¡¡the¡¡calculating¡¡machinery¡¡alonenot¡¡to¡¡mention¡¡the
printing¡¡machinery£»¡¡which¡¡was¡¡almost¡¡equally¡¡elaboratecovered¡¡not
less¡¡than¡¡four¡¡hundred¡¡square¡¡feet¡¡of¡¡surface£¡¡¡¡¡The¡¡cost¡¡of¡¡executing
the¡¡calculating¡¡machine¡¡was¡¡of¡¡course¡¡very¡¡great£»¡¡and¡¡the¡¡progress¡¡of
the¡¡work¡¡was¡¡necessarily¡¡slow¡£¡¡¡¡The¡¡consequence¡¡was¡¡that¡¡the
government¡¡first¡¡became¡¡impatient£»¡¡and¡¡then¡¡began¡¡to¡¡grumble¡¡at¡¡the
expense¡£¡¡¡¡At¡¡the¡¡end¡¡of¡¡seven¡¡years¡¡the¡¡engineer's¡¡bills¡¡alone¡¡were
found¡¡to¡¡amount¡¡to¡¡nearly¡¡7200L¡££»¡¡and¡¡Mr¡£¡¡Babbage's¡¡costs¡¡out¡¡of
pocket¡¡to¡¡7000L¡£¡¡more¡£¡¡¡¡In¡¡order¡¡to¡¡make¡¡more¡¡satisfactory¡¡progress£»
it¡¡was¡¡determined¡¡to¡¡remove¡¡the¡¡works¡¡to¡¡the¡¡neighbourhood¡¡of¡¡Mr¡£
Babbage's¡¡own¡¡residence£»¡¡but¡¡as¡¡Clement's¡¡claims¡¡for¡¡conducting¡¡the
operations¡¡in¡¡the¡¡new¡¡premises