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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¿£¡

normal¡¡pressure¡£¡¡A¡¡pressure¡¡of¡¡this¡¡kind

against¡¡a¡¡plane¡¡is¡¡where¡¡the¡¡wind¡¡strikes¡¡it¡¡at

right¡¡angles¡£¡¡This¡¡is¡¡illustrated¡¡in¡¡Fig¡£¡¡4£»¡¡in

which¡¡the¡¡plane¡¡is¡¡shown¡¡with¡¡the¡¡wind¡¡striking

it¡¡squarely¡£



It¡¡is¡¡obvious¡¡that¡¡the¡¡wind¡¡will¡¡exert¡¡a¡¡greater

force¡¡against¡¡a¡¡plane¡¡when¡¡at¡¡its¡¡normal¡£¡¡On¡¡the

other¡¡hand£»¡¡the¡¡least¡¡pressure¡¡against¡¡a¡¡plane¡¡is

when¡¡it¡¡is¡¡in¡¡a¡¡horizontal¡¡position£»¡¡because¡¡then

the¡¡wind¡¡has¡¡no¡¡force¡¡against¡¡the¡¡surfaces£»¡¡and

the¡¡only¡¡effect¡¡on¡¡the¡¡drift¡¡is¡¡that¡¡which¡¡takes

place¡¡when¡¡the¡¡wind¡¡strikes¡¡its¡¡forward¡¡edge¡£



_Fig¡£¡¡4¡£¡¡Normal¡¡Air¡¡Pressure_



_Fig¡£¡¡5¡£¡¡Edge¡¡Resistance_





HEAD¡¡RESISTANCE¡£Fig¡£¡¡5¡¡shows¡¡such¡¡a¡¡plane£»

the¡¡only¡¡resistance¡¡being¡¡the¡¡thickness¡¡of¡¡the

plane¡¡as¡¡at¡¡A¡£¡¡This¡¡is¡¡called¡¡head¡¡resistance£»

and¡¡on¡¡this¡¡subject¡¡there¡¡has¡¡been¡¡much¡¡controversy£»

and¡¡many¡¡theories£»¡¡which¡¡will¡¡be¡¡considered

under¡¡the¡¡proper¡¡headings¡£



If¡¡a¡¡plane¡¡is¡¡placed¡¡at¡¡an¡¡angle¡¡of¡¡45¡¡degrees

the¡¡lift¡¡and¡¡the¡¡drift¡¡are¡¡the¡¡same£»¡¡assumedly£»¡¡because£»

if¡¡we¡¡were¡¡to¡¡measure¡¡the¡¡power¡¡required

to¡¡drive¡¡it¡¡forwardly£»¡¡it¡¡would¡¡be¡¡found¡¡to¡¡equal

the¡¡weight¡¡necessary¡¡to¡¡lift¡¡it¡£¡¡That¡¡is£»¡¡suppose

we¡¡should¡¡hold¡¡a¡¡plane¡¡at¡¡that¡¡angle¡¡with¡¡a¡¡heavy

wind¡¡blowing¡¡against¡¡it£»¡¡and¡¡attach¡¡two¡¡pairs¡¡of

scales¡¡to¡¡the¡¡plane£»¡¡both¡¡would¡¡show¡¡the¡¡same

pull¡£



_Fig¡£¡¡6¡£¡¡Measuring¡¡Lift¡¡and¡¡Drift_



MEASURING¡¡LIFT¡¡AND¡¡DRIFT¡£In¡¡Fig¡£¡¡6£»¡¡A¡¡is¡¡the

plane£»¡¡B¡¡the¡¡horizontal¡¡line¡¡which¡¡attaches¡¡the

plane¡¡to¡¡a¡¡scale¡¡C£»¡¡and¡¡D¡¡the¡¡line¡¡attaching¡¡it¡¡to

the¡¡scale¡¡E¡£¡¡When¡¡the¡¡wind¡¡is¡¡of¡¡sufficient¡¡force

to¡¡hold¡¡up¡¡the¡¡plane£»¡¡the¡¡scales¡¡will¡¡show¡¡the¡¡same

pull£»¡¡neglecting£»¡¡of¡¡course£»¡¡the¡¡weight¡¡of¡¡the

plane¡¡itself¡£



PRESSURE¡¡AT¡¡DIFFERENT¡¡ANGLES¡£What¡¡every

one¡¡wants¡¡to¡¡know£»¡¡and¡¡a¡¡subject¡¡on¡¡which¡¡a

great¡¡deal¡¡of¡¡experiment¡¡and¡¡time¡¡have¡¡been¡¡expended£»

is¡¡to¡¡determine¡¡what¡¡the¡¡pressures¡¡are¡¡at

the¡¡different¡¡angles¡¡between¡¡the¡¡horizontal£»¡¡and

laws¡¡have¡¡been¡¡formulated¡¡which¡¡enable¡¡the¡¡pressures

to¡¡be¡¡calculated¡£



DIFFERENCE¡¡BETWEEN¡¡LIFT¡¡AND¡¡DRIFT¡¡IN¡¡MOTION¡£The

first¡¡observation¡¡is¡¡directed¡¡to¡¡the¡¡differences

that¡¡exist¡¡between¡¡the¡¡lift¡¡and¡¡drift£»

when¡¡the¡¡plane¡¡is¡¡placed¡¡at¡¡an¡¡angle¡¡of¡¡less¡¡than

45¡¡degrees¡£¡¡A¡¡machine¡¡weighing¡¡1000¡¡pounds

has¡¡always¡¡the¡¡same¡¡lift¡£¡¡Its¡¡mass¡¡does¡¡not

change¡£¡¡Remember£»¡¡now£»¡¡we¡¡allude¡¡to¡¡its¡¡mass£»

or¡¡density¡£



We¡¡are¡¡not¡¡now¡¡referring¡¡to¡¡weight£»¡¡because

that¡¡must¡¡be¡¡taken¡¡into¡¡consideration£»¡¡in¡¡the

problem¡£¡¡As¡¡heretofore¡¡stated£»¡¡when¡¡an¡¡object

moves¡¡horizontally£»¡¡it¡¡has¡¡less¡¡weight¡¡than¡¡when

at¡¡rest¡£¡¡If¡¡it¡¡had¡¡the¡¡same¡¡weight¡¡it¡¡would¡¡not

move¡¡forwardly£»¡¡but¡¡come¡¡to¡¡rest¡£



When¡¡in¡¡motion£»¡¡therefore£»¡¡while¡¡the¡¡lift£»¡¡so

far¡¡as¡¡its¡¡mass¡¡is¡¡concerned£»¡¡does¡¡not¡¡change£»¡¡the

drift¡¡does¡¡decrease£»¡¡or¡¡the¡¡forward¡¡pull¡¡is¡¡less

than¡¡when¡¡at¡¡45¡¡degrees£»¡¡and¡¡the¡¡decrease¡¡is¡¡less

and¡¡less¡¡until¡¡the¡¡plane¡¡assumes¡¡a¡¡horizontal¡¡position£»

where¡¡it¡¡is¡¡absolutely¡¡nil£»¡¡if¡¡we¡¡do¡¡not¡¡consider

head¡¡resistance¡£



TABLES¡¡OF¡¡LIFT¡¡AND¡¡DRIFT¡£All¡¡tables¡¡of¡¡Lift

and¡¡Drift¡¡consider¡¡only¡¡the¡¡air¡¡pressures¡£¡¡They

do¡¡not¡¡take¡¡into¡¡account¡¡the¡¡fact¡¡that¡¡momentum

takes¡¡an¡¡important¡¡part¡¡in¡¡the¡¡translation¡¡of¡¡an

object£»¡¡like¡¡a¡¡flying¡¡machine¡£



A¡¡mass¡¡of¡¡material£»¡¡weighing¡¡1000¡¡pounds¡¡while

at¡¡rest£»¡¡sets¡¡up¡¡an¡¡enormous¡¡energy¡¡when¡¡moving

through¡¡the¡¡air¡¡at¡¡fifty£»¡¡seventy¡­five£»¡¡or¡¡one¡¡hundred

miles¡¡an¡¡hour¡£¡¡At¡¡the¡¡latter¡¡speed¡¡the¡¡movement

is¡¡about¡¡160¡¡feet¡¡per¡¡second£»¡¡a¡¡motion¡¡which

is¡¡nearly¡¡sufficient¡¡to¡¡maintain¡¡it¡¡in¡¡horizontal

flight£»¡¡independently¡¡of¡¡any¡¡plane¡¡surface¡£



Such¡¡being¡¡the¡¡case£»¡¡why¡¡take¡¡into¡¡account¡¡only

the¡¡angle¡¡of¡¡the¡¡plane£¿¡¡It¡¡is¡¡no¡¡wonder¡¡that

aviators¡¡have¡¡not¡¡been¡¡able¡¡to¡¡make¡¡the¡¡theoretical

considerations¡¡and¡¡the¡¡practical¡¡demonstrations

agree¡£



WHY¡¡TABLES¡¡OF¡¡LIFT¡¡AND¡¡DRIFT¡¡ARE¡¡WRONG¡£

A¡¡little¡¡reflection¡¡will¡¡show¡¡why¡¡such¡¡tables¡¡are

wrong¡£¡¡They¡¡were¡¡prepared¡¡by¡¡using¡¡a¡¡plane

surface¡¡at¡¡rest£»¡¡and¡¡forcing¡¡a¡¡blast¡¡of¡¡air¡¡against

the¡¡plane¡¡placed¡¡at¡¡different¡¡angles£»¡¡and¡¡for¡¡determining

air¡¡pressures£»¡¡this¡¡is£»¡¡no¡¡doubt£»¡¡correct¡£

But¡¡it¡¡does¡¡not¡¡represent¡¡actual¡¡flying¡¡conditions¡£

It¡¡does¡¡not¡¡show¡¡the¡¡conditions¡¡existing

in¡¡an¡¡aeroplane¡¡while¡¡in¡¡flight¡£



To¡¡determine¡¡this£»¡¡short¡¡of¡¡actual¡¡experiments

with¡¡a¡¡machine¡¡in¡¡horizontal¡¡translation£»¡¡is¡¡impossible£»

unless¡¡it¡¡is¡¡done¡¡by¡¡taking¡¡into¡¡account

the¡¡factor¡¡due¡¡to¡¡momentum¡¡and¡¡the¡¡element

attributable¡¡to¡¡the¡¡lift¡¡of¡¡the¡¡plane¡¡itself¡¡due¡¡to¡¡its

impact¡¡against¡¡the¡¡atmosphere¡£



LANGLEY'S¡¡LAW¡£The¡¡law¡¡enunciated¡¡by

Langley¡¡is£»¡¡that¡¡the¡¡greater¡¡the¡¡speed¡¡the¡¡less¡¡the

power¡¡required¡¡to¡¡propel¡¡it¡£¡¡Water¡¡as¡¡a¡¡propelling

medium¡¡has¡¡over¡¡seven¡¡hundred¡¡times

more¡¡force¡¡than¡¡air¡£¡¡A¡¡vessel¡¡having£»¡¡for¡¡instance£»

twenty¡¡horse¡¡power£»¡¡and¡¡a¡¡speed¡¡of¡¡ten

miles¡¡per¡¡hour£»¡¡would¡¡require¡¡four¡¡times¡¡that

power¡¡to¡¡drive¡¡it¡¡through¡¡the¡¡water¡¡at¡¡double¡¡the

speed¡£¡¡The¡¡power¡¡is¡¡as¡¡the¡¡square¡¡of¡¡the¡¡speed¡£



With¡¡air¡¡the¡¡conditions¡¡are¡¡entirely¡¡different¡£

The¡¡boat¡¡submergence¡¡in¡¡the¡¡water¡¡is¡¡practically

the¡¡same£»¡¡whether¡¡going¡¡ten¡¡or¡¡twenty¡¡miles¡¡an

hour¡£¡¡The¡¡head¡¡resistance¡¡is¡¡the¡¡same£»¡¡substantially£»

at¡¡all¡¡times¡¡in¡¡the¡¡case¡¡of¡¡the¡¡boat£»¡¡with¡¡the

flying¡¡machine¡¡the¡¡resistance¡¡of¡¡its¡¡sustaining

surfaces¡¡decreases¡£



Without¡¡going¡¡into¡¡a¡¡too¡¡technical¡¡description

of¡¡the¡¡reasoning¡¡which¡¡led¡¡to¡¡the¡¡discovery¡¡of¡¡the

law¡¡of¡¡air¡¡pressures£»¡¡let¡¡us¡¡try¡¡and¡¡understand

it¡¡by¡¡examining¡¡the¡¡diagram£»¡¡Fig¡£¡¡7¡£



A¡¡represents¡¡a¡¡plane¡¡at¡¡an¡¡angle¡¡of¡¡45¡¡degrees£»

moving¡¡forwardly¡¡into¡¡the¡¡atmosphere¡¡in¡¡the

direction¡¡of¡¡the¡¡arrows¡¡B¡£¡¡The¡¡measurement

across¡¡the¡¡plane¡¡vertically£»¡¡along¡¡the¡¡line¡¡B£»

which¡¡is¡¡called¡¡the¡¡sine¡¡of¡¡the¡¡angle£»¡¡represents

the¡¡surface¡¡impact¡¡of¡¡air¡¡against¡¡the¡¡plane¡£



In¡¡Fig¡£¡¡8¡¡the¡¡plane¡¡is¡¡at¡¡an¡¡angle¡¡of¡¡27¡¡degrees£»

which¡¡makes¡¡the¡¡distance¡¡in¡¡height¡¡across¡¡the¡¡line

C¡¡just¡¡one¡­half¡¡the¡¡length¡¡of¡¡the¡¡line¡¡B¡¡of¡¡Fig¡£¡¡7£»

hence¡¡the¡¡surface¡¡impact¡¡of¡¡the¡¡air¡¡is¡¡one¡­half¡¡that

of¡¡Fig¡£¡¡7£»¡¡and¡¡the¡¡drift¡¡is¡¡correspondingly¡¡decreased¡£



_Fig¡£¡¡7¡£¡¡Equal¡¡Lift¡¡and¡¡Drift¡¡in¡¡Flight¡£_



_Fig¡£¡¡8¡£¡¡Unequal¡¡Lift¡¡and¡¡Drift¡£_





MOVING¡¡PLANES¡¡VS¡£¡¡WINDS¡£In¡¡this¡¡way¡¡Boisset£»

Duchemin£»¡¡Langley£»¡¡and¡¡others£»¡¡determined

the¡¡comparative¡¡drift£»¡¡and¡¡those¡¡results¡¡have¡¡been

largely¡¡relied¡¡upon¡¡by¡¡aviators£»¡¡and¡¡assumed¡¡to

be¡¡correct¡¡when¡¡applied¡¡to¡¡flying¡¡machines¡£



That¡¡they¡¡are¡¡not¡¡correct¡¡has¡¡been¡¡proven¡¡by

the¡¡Wrights¡¡and¡¡others£»¡¡the¡¡only¡¡explanation¡¡being

that¡¡some¡¡errors¡¡had¡¡been¡¡made¡¡in¡¡the¡¡calculations£»

or¡¡that¡¡aviators¡¡were¡¡liable¡¡to¡¡commit¡¡errors

in¡¡observing¡¡the¡¡true¡¡angle¡¡of¡¡the¡¡planes

while¡¡in¡¡flight¡£



MOMENTUM¡¡NOT¡¡CONSIDERED¡£The¡¡great¡¡factor

of¡¡momentum¡¡has¡¡been¡¡entirely¡¡ignored£»¡¡and¡¡it¡¡is

our¡¡desire¡¡to¡¡press¡¡the¡¡important¡¡point¡¡on¡¡those

who¡¡begin¡¡to¡¡study¡¡the¡¡question¡¡of¡¡flying¡¡machines¡£



THE¡¡FLIGHT¡¡OF¡¡BIRDS¡£Volumes¡¡have¡¡been

written¡¡concerning¡¡observations¡¡on¡¡the¡¡flight¡¡of

birds¡£¡¡The¡¡marvel¡¡has¡¡been¡¡why¡¡do¡¡soaring¡¡birds

maintain¡¡themselves¡¡in¡¡space¡¡without¡¡flapping

their¡¡wings¡£¡¡In¡¡fact£»¡¡it¡¡is¡¡a¡¡much¡¡more¡¡remarkable

thing¡¡to¡¡contemplate¡¡why¡¡birds¡¡which¡¡depend

on¡¡flapping¡¡wings¡¡can¡¡fly¡£



THE¡¡DOWNWARD¡¡BEAT¡£It¡¡is¡¡argued¡¡that¡¡the

downward¡¡beat¡¡of¡¡the¡¡wings¡¡is¡¡so¡¡much¡¡more

rapid¡¡than¡¡the¡¡upward¡¡motion£»¡¡that¡¡it¡¡gets¡¡an¡¡action

on¡¡the¡¡air¡¡so¡¡as¡¡to¡¡force¡¡the¡¡body¡¡upwardly¡£

This¡¡is¡¡disposed¡¡of¡¡by¡¡the¡¡wing¡¡motion¡¡of¡¡many

birds£»¡¡notoriously¡¡the¡¡crow£»¡¡whose¡¡lazily¡­flapping

wings¡¡can¡¡be¡¡readily¡¡followed¡¡by¡¡the¡¡eye£»¡¡and¡¡the

difference¡¡in¡¡movement£»¡¡if¡¡any£»¡¡is¡¡not¡¡perceptible¡£



THE¡¡CONCAVED¡¡WING¡£It¡¡is¡¡also¡¡urged¡¡that¡¡the

concave¡¡on¡¡the¡¡under¡¡side¡¡of¡¡the¡¡wing¡¡gives¡¡the

quality¡¡of¡¡lift¡£¡¡Certain¡¡kinds¡¡of¡¡beetles£»¡¡and¡¡particularly

the¡¡common¡¡house¡¡fly£»¡¡disprove¡¡that¡¡theory£»

as¡¡their¡¡wings¡¡are¡¡perfectly¡¡flat¡£



FEATHER¡¡STRUCTURE¡¡CONSIDERED¡£Then¡¡the

feather¡¡argument¡¡is¡¡advanced£»¡¡which¡¡seeks¡¡to

show¡¡that¡¡as¡¡each¡¡wing¡¡is¡¡made¡¡up¡¡of¡¡a¡¡plurality

of¡¡feathers£»¡¡overlapping¡¡each¡¡other£»¡¡they¡¡form¡¡a

sort¡¡of¡¡a¡¡valved¡¡surface£»¡¡opening¡¡so¡¡as¡¡to¡¡permit

air¡¡to¡¡pass¡¡through¡¡them¡¡during¡¡the¡¡period¡¡of

their¡¡upward¡¡movement£»¡¡and¡¡closing¡¡up¡¡as¡¡the

wing¡¡descends¡£



It¡¡is¡¡difficult¡¡to¡¡perform¡¡this¡¡experiment¡¡with

wings£»¡¡so¡¡as¡¡to¡¡show¡¡such¡¡an¡¡individual¡¡feather

movement¡£¡¡It¡¡is¡¡certain¡¡that¡¡there¡¡is¡¡nothing¡¡in

the¡¡structure¡¡of¡¡the¡¡wing¡¡bone¡¡and¡¡the¡¡feather

connection¡¡which¡¡points¡¡to¡¡any¡¡individual¡¡feather

movement£»¡¡and¡¡our¡¡observation¡¡is£»¡¡that¡¡each

feather¡¡is¡¡entirely¡¡too¡¡rigid¡¡to¡¡permit¡¡of¡¡such¡¡an

opening¡¡up¡¡between¡¡them¡£



It¡¡is¡¡obvious¡¡that¡¡the¡¡wing¡¡is¡¡built¡¡up¡¡in¡¡that

way¡¡for¡¡an¡¡entirely¡¡different¡¡reason¡£¡¡Soaring

birds£»¡¡which¡¡do¡¡not¡¡depend¡¡on¡¡the¡¡flapping¡¡motion£»

have¡¡the¡¡same¡¡overlapping¡¡feather¡¡formation¡£



WEBBED¡¡WINGS¡£Furthermore£»¡¡there¡¡are¡¡numerous

flying¡¡creatures¡¡which¡¡do¡¡not¡¡have

feathered¡¡wings£»¡¡but¡¡web¡­like¡¡structures£»¡¡or¡¡like¡¡the

house¡¡fly£»¡¡in¡¡one¡¡continuous¡¡and¡¡unbroken

plane¡£



That¡¡birds¡¡which¡¡fly¡¡with¡¡flapping¡¡wings¡¡derive

their¡¡support¡¡from¡¡the¡¡air£»¡¡is¡¡undoubtedly¡¡true£»

and¡¡that¡¡the¡¡lift¡¡produced¡¡is¡¡due£»¡¡not¡¡to¡¡the¡¡form£»

or¡¡shape£»¡¡or¡¡area¡¡of¡¡the¡¡wing£»¡¡is¡¡also¡¡beyond¡¡question¡£

The¡¡records¡¡show¡¡that¡¡every¡¡conceivable

type¡¡of¡¡outlined¡¡structure¡¡is¡¡used¡¡by¡¡nature£»¡¡the

material¡¡and¡¡texture¡¡of¡¡the¡¡wings¡¡themselves¡¡differ

to¡¡such¡¡a¡¡degree¡¡that¡¡there¡¡is¡¡absolutely¡¡no

similarity£»¡¡some¡¡have¡¡concaved¡¡under¡¡surfaces£»

and¡¡others¡¡have¡¡not£»¡¡some¡¡fly¡¡with¡¡rapidly¡¡beating

wings£»¡¡and¡¡others¡¡with¡¡slow¡¡and¡¡measured

movements£»¡¡many¡¡of¡¡them¡¡fly¡¡with¡¡equal¡¡facility

without¡¡flapping¡¡movements£»¡¡and¡¡the¡¡proportions

of¡¡weight¡¡to¡¡wing¡¡surface¡¡vary¡¡to¡¡such¡¡an¡¡extent

that¡¡it¡¡is¡¡utterly¡¡impossible¡¡to¡¡use¡¡such¡¡data¡¡as¡¡a

guide¡¡in¡¡calculating¡¡what¡¡the¡¡proper¡¡surface

should¡¡be¡¡for¡¡a¡¡correct¡¡flying¡¡machine¡£



THE¡¡ANGLE¡¡OF¡¡MOVEMENT¡£How£»¡¡then£»¡¡it¡¡may

be¡¡asked£»¡¡do¡¡they¡¡get¡¡their¡¡support£¿¡¡There¡¡must

be¡¡something£»¡¡in¡¡all¡¡this¡¡variety¡¡and¡¡diversity¡¡of

form£»¡¡of¡¡motion£»¡¡and¡¡of¡¡characteristics£»¡¡which

supplies¡¡the¡¡true¡¡answer¡£¡¡The¡¡answer¡¡lies¡¡in¡¡the

angle¡¡of¡¡movement¡¡of¡¡every¡¡wing¡¡motion£»¡¡which

is¡¡at¡¡the¡¡control¡¡of¡¡
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