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°´¼üÅÌÉÏ·½Ïò¼ü ¡û »ò ¡ú ¿É¿ìËÙÉÏÏ·­Ò³£¬°´¼üÅÌÉ쵀 Enter ¼ü¿É»Øµ½±¾ÊéĿ¼ҳ£¬°´¼üÅÌÉÏ·½Ïò¼ü ¡ü ¿É»Øµ½±¾Ò³¶¥²¿£¡

life£»¡¡was¡¡his¡¡compensation¡¡pendulum¡£¡¡¡¡Every¡¡one¡¡knows¡¡that¡¡metals

expand¡¡with¡¡heat¡¡and¡¡contract¡¡by¡¡cold¡£¡¡¡¡The¡¡pendulum¡¡of¡¡the¡¡clock

therefore¡¡expanded¡¡in¡¡summer¡¡and¡¡contracted¡¡in¡¡winter£»¡¡thereby

interfering¡¡with¡¡the¡¡regular¡¡going¡¡of¡¡the¡¡clock¡£¡¡¡¡Huygens¡¡had¡¡by

his¡¡cylindrical¡¡checks¡¡removed¡¡the¡¡great¡¡irregularity¡¡arising

from¡¡the¡¡unequal¡¡lengths¡¡of¡¡the¡¡oscillations£»¡¡but¡¡the¡¡pendulum

was¡¡affected¡¡by¡¡the¡¡tossing¡¡of¡¡a¡¡ship¡¡at¡¡sea£»¡¡and¡¡was¡¡also

subject¡¡to¡¡a¡¡variation¡¡in¡¡weight£»¡¡depending¡¡on¡¡the¡¡parallel¡¡of

latitude¡£¡¡¡¡Graham£»¡¡the¡¡well¡­known¡¡clock¡­maker£»¡¡invented¡¡the

mercurial¡¡compensation¡¡pendulum£»¡¡consisting¡¡of¡¡a¡¡glass¡¡or¡¡iron

jar¡¡filled¡¡with¡¡quicksilver¡¡and¡¡fixed¡¡to¡¡the¡¡end¡¡of¡¡the¡¡pendulum

rod¡£¡¡¡¡When¡¡the¡¡rod¡¡was¡¡lengthened¡¡by¡¡heat£»¡¡the¡¡quicksilver¡¡and

the¡¡jar¡¡which¡¡contained¡¡it¡¡were¡¡simultaneously¡¡expanded¡¡and

elevated£»¡¡and¡¡the¡¡centre¡¡of¡¡oscillation¡¡was¡¡thus¡¡continued¡¡at¡¡the

same¡¡distance¡¡from¡¡the¡¡point¡¡of¡¡suspension¡£



But¡¡the¡¡difficulty£»¡¡to¡¡a¡¡certain¡¡extent£»¡¡remained¡¡unconquered

until¡¡Harrison¡¡took¡¡the¡¡matter¡¡in¡¡hand¡£¡¡¡¡He¡¡observed¡¡that¡¡all

rods¡¡of¡¡metal¡¡do¡¡not¡¡alter¡¡their¡¡lengths¡¡equally¡¡by¡¡heat£»¡¡or£»¡¡on

the¡¡contrary£»¡¡become¡¡shorter¡¡by¡¡cold£»¡¡but¡¡some¡¡more¡¡sensibly¡¡than

others¡£¡¡¡¡After¡¡innumerable¡¡experiments¡¡Harrison¡¡at¡¡length

composed¡¡a¡¡frame¡¡somewhat¡¡resembling¡¡a¡¡gridiron£»¡¡in¡¡which¡¡the

alternate¡¡bars¡¡were¡¡of¡¡steel¡¡and¡¡of¡¡brass£»¡¡and¡¡so¡¡arranged¡¡that

those¡¡which¡¡expanded¡¡the¡¡most¡¡were¡¡counteracted¡¡by¡¡those¡¡which

expanded¡¡the¡¡least¡£¡¡¡¡By¡¡this¡¡means¡¡the¡¡pendulum¡¡contained¡¡the

power¡¡of¡¡equalising¡¡its¡¡own¡¡action£»¡¡and¡¡the¡¡centre¡¡of¡¡oscillation

continued¡¡at¡¡the¡¡same¡¡absolute¡¡distance¡¡from¡¡the¡¡point¡¡of

suspension¡¡through¡¡all¡¡the¡¡variations¡¡of¡¡heat¡¡and¡¡cold¡¡during¡¡the

year¡££§5£§



Thus¡¡by¡¡the¡¡year¡¡1726£»¡¡when¡¡he¡¡was¡¡only¡¡thirty¡­three¡¡years¡¡old£»

Harrison¡¡had¡¡furnished¡¡himself¡¡with¡¡two¡¡compensation¡¡clocks£»¡¡in

which¡¡all¡¡the¡¡irregularities¡¡to¡¡which¡¡these¡¡machines¡¡were

subject£»¡¡were¡¡either¡¡removed¡¡or¡¡so¡¡happily¡¡balanced£»¡¡one¡¡metal

against¡¡the¡¡other£»¡¡that¡¡the¡¡two¡¡clocks¡¡kept¡¡time¡¡together¡¡in

different¡¡parts¡¡of¡¡his¡¡house£»¡¡without¡¡the¡¡variation¡¡of¡¡more¡¡than

a¡¡single¡¡second¡¡in¡¡the¡¡month¡£¡¡¡¡One¡¡of¡¡them£»¡¡indeed£»¡¡which¡¡he¡¡kept

by¡¡him¡¡for¡¡his¡¡own¡¡use£»¡¡and¡¡constantly¡¡compared¡¡with¡¡a¡¡fixed

star£»¡¡did¡¡not¡¡vary¡¡so¡¡much¡¡as¡¡one¡¡whole¡¡minute¡¡during¡¡the¡¡ten

years¡¡that¡¡he¡¡continued¡¡in¡¡the¡¡country¡¡after¡¡finishing¡¡the

machine¡££§6£§



Living£»¡¡as¡¡he¡¡did£»¡¡not¡¡far¡¡from¡¡the¡¡sea£»¡¡Harrison¡¡next

endeavoured¡¡to¡¡arrange¡¡his¡¡timekeeper¡¡for¡¡purposes¡¡of¡¡navigation¡£



He¡¡tried¡¡his¡¡clock¡¡in¡¡a¡¡vessel¡¡belonging¡¡to¡¡Barton¡­on¡­Humber£»¡¡but

his¡¡compensating¡¡pendulum¡¡could¡¡there¡¡be¡¡of¡¡comparatively¡¡little

use£»¡¡for¡¡it¡¡was¡¡liable¡¡to¡¡be¡¡tossed¡¡hither¡¡or¡¡thither¡¡by¡¡the

sudden¡¡motions¡¡of¡¡the¡¡ship¡£¡¡¡¡He¡¡found¡¡it¡¡necessary£»¡¡therefore£»¡¡to

mount¡¡a¡¡chronometer£»¡¡or¡¡portable¡¡timekeeper£»¡¡which¡¡might¡¡be¡¡taken

from¡¡place¡¡to¡¡place£»¡¡and¡¡subjected¡¡to¡¡the¡¡violent¡¡and¡¡irregular

motion¡¡of¡¡a¡¡ship¡¡at¡¡sea£»¡¡without¡¡affecting¡¡its¡¡rate¡¡of¡¡going¡£¡¡¡¡It

was¡¡evident¡¡to¡¡him¡¡that¡¡the¡¡first¡¡mover¡¡must¡¡be¡¡changed¡¡from¡¡a

weight¡¡and¡¡pendulum¡¡to¡¡a¡¡spring¡¡wound¡¡up¡¡and¡¡a¡¡compensating

balance¡£



He¡¡now¡¡applied¡¡his¡¡genius¡¡in¡¡this¡¡direction¡£¡¡¡¡After¡¡pondering

over¡¡the¡¡subject£»¡¡he¡¡proceeded¡¡to¡¡London¡¡in¡¡1728£»¡¡and¡¡exhibited

his¡¡drawings¡¡to¡¡Dr¡£¡¡Halley£»¡¡then¡¡Astronomer¡­Royal¡£¡¡¡¡The¡¡Doctor

referred¡¡him¡¡to¡¡Mr¡£¡¡George¡¡Graham£»¡¡the¡¡distinguished¡¡horologer£»

inventor¡¡of¡¡the¡¡dead¡­beat¡¡escapement¡¡and¡¡the¡¡mercurial¡¡pendulum¡£¡¡

After¡¡examining¡¡the¡¡drawings¡¡and¡¡holding¡¡some¡¡converse¡¡with

Harrison£»¡¡Graham¡¡perceived¡¡him¡¡to¡¡be¡¡a¡¡man¡¡of¡¡uncommon¡¡merit£»¡¡and

gave¡¡him¡¡every¡¡encouragement¡£¡¡¡¡He¡¡recommended¡¡him£»¡¡however£»¡¡to

make¡¡his¡¡machine¡¡before¡¡again¡¡applying¡¡to¡¡the¡¡Board¡¡of¡¡Longitude¡£



Harrison¡¡returned¡¡home¡¡to¡¡Barrow¡¡to¡¡complete¡¡his¡¡task£»¡¡and¡¡many

years¡¡elapsed¡¡before¡¡he¡¡again¡¡appeared¡¡in¡¡London¡¡to¡¡present¡¡his

first¡¡chronometer¡£



The¡¡remarkable¡¡success¡¡which¡¡Harrison¡¡had¡¡achieved¡¡in¡¡his

compensating¡¡pendulum¡¡could¡¡not¡¡but¡¡urge¡¡him¡¡on¡¡to¡¡further

experiments¡£¡¡¡¡He¡¡was¡¡no¡¡doubt¡¡to¡¡a¡¡certain¡¡extent¡¡influenced¡¡by

the¡¡reward¡¡of¡¡20£»000L¡£¡¡which¡¡the¡¡English¡¡Government¡¡had¡¡offered

for¡¡an¡¡instrument¡¡that¡¡should¡¡enable¡¡the¡¡longitude¡¡to¡¡be¡¡more

accurately¡¡determined¡¡by¡¡navigators¡¡at¡¡sea¡¡than¡¡was¡¡then

possible£»¡¡and¡¡it¡¡was¡¡with¡¡the¡¡object¡¡of¡¡obtaining¡¡pecuniary

assistance¡¡to¡¡assist¡¡him¡¡in¡¡completing¡¡his¡¡chronometer¡¡that

Harrison¡¡had£»¡¡in¡¡1728£»¡¡made¡¡his¡¡first¡¡visit¡¡to¡¡London¡¡to¡¡exhibit

his¡¡drawings¡£



The¡¡Act¡¡of¡¡Parliament¡¡offering¡¡this¡¡superb¡¡reward¡¡was¡¡passed¡¡in

1714£»¡¡fourteen¡¡years¡¡before£»¡¡but¡¡no¡¡attempt¡¡had¡¡been¡¡made¡¡to

claim¡¡it¡£¡¡¡¡It¡¡was¡¡right¡¡that¡¡England£»¡¡then¡¡rapidly¡¡advancing¡¡to

the¡¡first¡¡position¡¡as¡¡a¡¡commercial¡¡nation£»¡¡should¡¡make¡¡every

effort¡¡to¡¡render¡¡navigation¡¡less¡¡hazardous¡£¡¡¡¡Before¡¡correct

chronometers¡¡were¡¡invented£»¡¡or¡¡good¡¡lunar¡¡tables¡¡were

prepared£»£§7£§¡¡the¡¡ship£»¡¡when¡¡fairly¡¡at¡¡sea£»¡¡out¡¡of¡¡sight¡¡of¡¡land£»

and¡¡battling¡¡with¡¡the¡¡winds¡¡and¡¡tides£»¡¡was¡¡in¡¡a¡¡measure¡¡lost¡£¡¡¡¡No

method¡¡existed¡¡for¡¡accurately¡¡ascertaining¡¡the¡¡longitude¡£¡¡¡¡The

ship¡¡might¡¡be¡¡out¡¡of¡¡its¡¡course¡¡for¡¡one¡¡or¡¡two¡¡hundred¡¡miles£»¡¡for

anything¡¡that¡¡the¡¡navigator¡¡knew£»¡¡and¡¡only¡¡the¡¡wreck¡¡of¡¡his¡¡ship

on¡¡some¡¡unknown¡¡coast¡¡told¡¡of¡¡the¡¡mistake¡¡that¡¡he¡¡had¡¡made¡¡in¡¡his

reckoning¡£



It¡¡may¡¡here¡¡be¡¡mentioned¡¡that¡¡it¡¡was¡¡comparatively¡¡easy¡¡to

determine¡¡the¡¡latitude¡¡of¡¡a¡¡ship¡¡at¡¡sea¡¡every¡¡day¡¡when¡¡the¡¡sun

was¡¡visible¡£¡¡¡¡The¡¡latitudethat¡¡is£»¡¡the¡¡distance¡¡of¡¡any¡¡spot

from¡¡the¡¡equator¡¡and¡¡the¡¡polemight¡¡be¡¡found¡¡by¡¡a¡¡simple

observation¡¡with¡¡the¡¡sextant¡£¡¡¡¡The¡¡altitude¡¡of¡¡the¡¡sun¡¡at¡¡noon¡¡is

found£»¡¡and¡¡by¡¡a¡¡short¡¡calculation¡¡the¡¡position¡¡of¡¡the¡¡ship¡¡can¡¡be

ascertained¡£



The¡¡sextant£»¡¡which¡¡is¡¡the¡¡instrument¡¡universally¡¡used¡¡at¡¡sea£»¡¡was

gradually¡¡evolved¡¡from¡¡similar¡¡instruments¡¡used¡¡from¡¡the¡¡earliest

times¡£¡¡¡¡The¡¡object¡¡of¡¡this¡¡instrument¡¡has¡¡always¡¡been¡¡to¡¡find¡¡the

angular¡¡distance¡¡between¡¡two¡¡bodiesthat¡¡is¡¡to¡¡say£»¡¡the¡¡angle

contained¡¡by¡¡two¡¡straight¡¡lines£»¡¡drawn¡¡from¡¡those¡¡bodies¡¡to¡¡meet

in¡¡the¡¡observer's¡¡eye¡£¡¡¡¡The¡¡simplest¡¡instrument¡¡of¡¡this¡¡kind¡¡may

be¡¡well¡¡represented¡¡by¡¡a¡¡pair¡¡of¡¡compasses¡£¡¡¡¡If¡¡the¡¡hinge¡¡is¡¡held

to¡¡the¡¡eye£»¡¡one¡¡leg¡¡pointed¡¡to¡¡the¡¡distant¡¡horizon£»¡¡and¡¡the¡¡other

leg¡¡pointed¡¡to¡¡the¡¡sun£»¡¡the¡¡position¡¡of¡¡the¡¡two¡¡legs¡¡will¡¡show

the¡¡angular¡¡distance¡¡of¡¡the¡¡sun¡¡from¡¡the¡¡horizon¡¡at¡¡the¡¡moment¡¡of

observation¡£



Until¡¡the¡¡end¡¡of¡¡the¡¡seventeenth¡¡century£»¡¡the¡¡instrument¡¡used¡¡was

of¡¡this¡¡simple¡¡kind¡£¡¡¡¡It¡¡was¡¡generally¡¡a¡¡large¡¡quadrant£»¡¡with¡¡one

or¡¡two¡¡bars¡¡moving¡¡on¡¡a¡¡hinge£»to¡¡all¡¡intents¡¡and¡¡purposes¡¡a

huge¡¡pair¡¡of¡¡compasses¡£¡¡¡¡The¡¡direction¡¡of¡¡the¡¡sight¡¡was¡¡fixed¡¡by

the¡¡use¡¡of¡¡a¡¡slit¡¡and¡¡a¡¡pointer£»¡¡much¡¡as¡¡in¡¡the¡¡ordinary¡¡rifle¡£¡¡

This¡¡instrument¡¡was¡¡vastly¡¡improved¡¡by¡¡the¡¡use¡¡of¡¡a¡¡telescope£»

which¡¡not¡¡only¡¡allowed¡¡fainter¡¡objects¡¡to¡¡be¡¡seen£»¡¡but¡¡especially

enabled¡¡the¡¡sight¡¡to¡¡be¡¡accurately¡¡directed¡¡to¡¡the¡¡object

observed¡£



The¡¡instruments¡¡of¡¡the¡¡pre¡­telescopic¡¡age¡¡reached¡¡their¡¡glory¡¡in

the¡¡hands¡¡of¡¡Tycho¡¡Brahe¡£¡¡¡¡He¡¡used¡¡magnificent¡¡instruments¡¡of¡¡the

simple¡¡¡¨pair¡¡of¡¡compasses¡¨¡¡kindcircles£»¡¡quadrants£»¡¡and

sextants¡£¡¡¡¡These¡¡were¡¡for¡¡the¡¡most¡¡part¡¡ponderous¡¡fixed

instruments¡¡of¡¡little¡¡or¡¡no¡¡use¡¡for¡¡the¡¡purposes¡¡of¡¡navigation¡£¡¡

But¡¡Tycho¡¡Brahe's¡¡sextant¡¡proved¡¡the¡¡forerunner¡¡of¡¡the¡¡modern

instrument¡£¡¡¡¡The¡¡general¡¡structure¡¡is¡¡the¡¡same£»¡¡but¡¡the¡¡vast

improvement¡¡of¡¡the¡¡modern¡¡sextant¡¡is¡¡due£»¡¡firstly£»¡¡to¡¡the¡¡use¡¡of

the¡¡reflecting¡¡mirror£»¡¡and£»¡¡secondly£»¡¡to¡¡the¡¡use¡¡of¡¡the¡¡telescope

for¡¡accurate¡¡sighting¡£¡¡¡¡These¡¡improvements¡¡were¡¡due¡¡to¡¡many

scientific¡¡mento¡¡William¡¡Gascoigne£»¡¡who¡¡first¡¡used¡¡the

telescope£»¡¡about¡¡1640£»¡¡to¡¡Robert¡¡Hooke£»¡¡who£»¡¡in¡¡1660£»¡¡proposed¡¡to

apply¡¡it¡¡to¡¡the¡¡quadrant£»¡¡to¡¡Sir¡¡Isaac¡¡Newton£»¡¡who¡¡designed¡¡a

reflecting¡¡quadrant£»£§8£§¡¡and¡¡to¡¡John¡¡Hadley£»¡¡who¡¡introduced¡¡it¡£¡¡

The¡¡modern¡¡sextant¡¡is¡¡merely¡¡a¡¡modification¡¡of¡¡Newton's¡¡or

Badley's¡¡quadrant£»¡¡and¡¡its¡¡present¡¡construction¡¡seems¡¡to¡¡be

perfect¡£



It¡¡therefore¡¡became¡¡possible¡¡accurately¡¡to¡¡determine¡¡the¡¡position

of¡¡a¡¡ship¡¡at¡¡sea¡¡as¡¡regarded¡¡its¡¡latitude¡£¡¡¡¡But¡¡it¡¡was¡¡quite

different¡¡as¡¡regarded¡¡the¡¡longitude¡¡that¡¡is£»¡¡the¡¡distance¡¡of¡¡any

place¡¡from¡¡a¡¡given¡¡meridian£»¡¡eastward¡¡or¡¡westward¡£¡¡¡¡In¡¡the¡¡case

of¡¡longitude¡¡there¡¡is¡¡no¡¡fixed¡¡spot¡¡to¡¡which¡¡reference¡¡can¡¡be

made¡£¡¡¡¡The¡¡rotation¡¡of¡¡the¡¡earth¡¡makes¡¡the¡¡existence¡¡of¡¡such¡¡a

spot¡¡impossible¡£¡¡¡¡The¡¡question¡¡of¡¡longitude¡¡is¡¡purely¡¡a¡¡question

of¡¡TIME¡£¡¡¡¡The¡¡circuit¡¡of¡¡the¡¡globe£»¡¡east¡¡and¡¡west£»¡¡is¡¡simply

represented¡¡by¡¡twenty¡­four¡¡hours¡£¡¡¡¡Each¡¡place¡¡has¡¡its¡¡own¡¡time¡£¡¡

It¡¡is¡¡very¡¡easy¡¡to¡¡determine¡¡the¡¡local¡¡time¡¡at¡¡any¡¡spot¡¡by

observations¡¡made¡¡at¡¡that¡¡spot¡£¡¡¡¡But£»¡¡as¡¡time¡¡is¡¡always¡¡changing£»

the¡¡knowledge¡¡of¡¡the¡¡local¡¡time¡¡gives¡¡no¡¡idea¡¡of¡¡the¡¡actual

position£»¡¡and¡¡still¡¡less¡¡of¡¡a¡¡moving¡¡objectsay£»¡¡of¡¡a¡¡ship¡¡at

sea¡£¡¡¡¡But¡¡if£»¡¡in¡¡any¡¡locality£»¡¡we¡¡know¡¡the¡¡local¡¡time£»¡¡and¡¡also

the¡¡local¡¡time¡¡of¡¡some¡¡other¡¡locality¡¡at¡¡that¡¡momentsay£»¡¡of¡¡the

Observatory¡¡at¡¡Greenwich¡¡we¡¡can£»¡¡by¡¡comparing¡¡the¡¡two¡¡local

times£»¡¡determine¡¡the¡¡difference¡¡of¡¡local¡¡times£»¡¡or£»¡¡what¡¡is¡¡the

same¡¡thing£»¡¡the¡¡difference¡¡of¡¡longitude¡¡between¡¡the¡¡two¡¡places¡£¡¡

It¡¡was¡¡necessary¡¡therefore¡¡for¡¡the¡¡navigator¡¡to¡¡be¡¡in¡¡possession

of¡¡a¡¡first¡­rate¡¡watch¡¡or¡¡chronometer£»¡¡to¡¡enable¡¡him¡¡to¡¡determine

accurately¡¡the¡¡position¡¡of¡¡his¡¡ship¡¡at¡¡sea£»¡¡as¡¡respected¡¡the

longitude¡£



Before¡¡the¡¡middle¡¡of¡¡the¡¡eighteenth¡¡century¡¡good¡¡watches¡¡were

comparatively¡¡unknown¡£¡¡¡¡The¡¡navigator¡¡mainly¡¡relied£»¡¡for¡¡his

approximate¡¡longitude£»¡¡upon¡¡his¡¡Dead¡¡Reckoning£»¡¡without¡¡any

observation¡¡of¡¡the¡¡heavenly¡¡bodies¡£¡¡¡¡He¡¡depended¡¡upon¡¡the

accuracy¡¡of¡¡the¡¡course¡¡which¡¡he¡¡had¡¡steered¡¡by¡¡the¡¡compass£»¡¡and

the¡¡mensuration¡¡of¡¡the¡¡ship's¡¡velocity¡¡by¡¡an¡¡instrument¡¡called

the¡¡Log£»¡¡as¡¡well¡¡as¡¡by¡¡combining¡¡and¡¡rectifying¡¡all¡¡the

allowances¡¡for¡¡drift£»¡¡lee¡­way£»¡¡and¡¡so¡¡on£»¡¡according¡¡to¡¡the¡¡trim

of¡¡the¡¡ship£»¡¡but¡¡all¡¡of¡¡these¡¡were¡¡liable¡¡to¡¡much¡¡uncertainty£»

especially¡¡when¡¡the¡¡sea¡¡was¡¡in¡¡a¡¡boisterous¡¡condition¡£¡¡¡¡There¡¡was

another¡¡and¡¡independent¡¡course¡¡which¡¡might¡¡have¡¡been

adoptedthat¡¡is£»¡¡by¡¡observation¡¡of¡¡the¡¡moon£»¡¡which¡¡is¡¡constantly

moving¡¡amongst¡¡the¡¡stars¡¡from¡¡west¡¡to¡¡east¡£¡¡¡¡But¡¡until¡¡the¡¡middle

of¡¡the
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