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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¿£¡

size¡¡of¡¡the¡¡skipper£»¡¡relative¡¡to¡¡its¡¡weight£»¡¡and¡¡the

other¡¡is¡¡its¡¡speed¡£¡¡If¡¡the¡¡speed¡¡is¡¡slow¡¡it¡¡will

quickly¡¡wend¡¡its¡¡way¡¡to¡¡the¡¡earth¡¡in¡¡a¡¡gradual

curve¡£¡¡This¡¡curved¡¡line¡¡is¡¡called¡¡its¡¡trajectory¡£

If¡¡it¡¡is¡¡not¡¡very¡¡large¡¡diametrically£»¡¡in¡¡proportion

to¡¡its¡¡weight£»¡¡it¡¡will¡¡also¡¡make¡¡a¡¡gradual¡¡curve¡¡in

descending£»¡¡without¡¡¡¨skimming¡¨¡¡up¡¡and¡¡down

in¡¡its¡¡flight¡£



SHAPE¡¡AND¡¡SPEED¡£It¡¡has¡¡been¡¡observed£»¡¡also£»

that¡¡a¡¡round¡¡ball£»¡¡or¡¡an¡¡object¡¡not¡¡flattened¡¡out£»

will¡¡make¡¡a¡¡regular¡¡curved¡¡path£»¡¡whatever¡¡the

speed¡¡may¡¡be¡£



It¡¡may¡¡be¡¡assumed£»¡¡therefore£»¡¡that¡¡the¡¡shape

alone¡¡does¡¡not¡¡account¡¡for¡¡this¡¡sinuous¡¡motion£»

but¡¡that¡¡speed¡¡is¡¡the¡¡element¡¡which¡¡accounts¡¡for

it¡£¡¡Such¡¡being¡¡the¡¡case¡¡it¡¡may¡¡be¡¡well¡¡to¡¡inquire

into¡¡the¡¡peculiar¡¡action¡¡which¡¡causes¡¡a¡¡skipper

to¡¡dart¡¡up¡¡and¡¡down£»¡¡and¡¡why¡¡the¡¡path¡¡thus

formed¡¡grows¡¡more¡¡and¡¡more¡¡accentuated¡¡as¡¡the

speed¡¡increases¡£



As¡¡will¡¡be¡¡more¡¡fully¡¡described¡¡in¡¡a¡¡later¡¡chapter£»

the¡¡impact¡¡of¡¡air¡¡against¡¡a¡¡moving¡¡body¡¡does

not¡¡increase¡¡in¡¡proportion¡¡to¡¡its¡¡speed£»¡¡but¡¡in¡¡the

ratio¡¡of¡¡the¡¡square¡¡of¡¡the¡¡speed¡£



WHAT¡¡SQUARE¡¡OF¡¡THE¡¡SPEED¡¡MEANS¡£In¡¡mathematics

a¡¡figure¡¡is¡¡squared¡¡when¡¡it¡¡is¡¡multiplied

by¡¡itself¡£¡¡Thus£»¡¡4¡¡X¡¡4=¡¡16£»¡¡5¡¡X¡¡5¡¡=¡¡25£»¡¡and¡¡so

on£»¡¡so¡¡that¡¡16¡¡is¡¡the¡¡square¡¡of¡¡4£»¡¡and¡¡25¡¡the¡¡square

of¡¡5¡£¡¡It¡¡has¡¡been¡¡found¡¡that¡¡a¡¡wind¡¡moving¡¡at¡¡the

speed¡¡of¡¡20¡¡miles¡¡an¡¡hour¡¡has¡¡a¡¡striking¡¡or¡¡pushing

force¡¡of¡¡2¡¡pounds¡¡on¡¡every¡¡square¡¡foot¡¡of¡¡surface¡£



If¡¡the¡¡wind¡¡travels¡¡twice¡¡as¡¡fast£»¡¡or¡¡40¡¡miles

an¡¡hour£»¡¡the¡¡pushing¡¡force¡¡is¡¡not¡¡4¡¡pounds£»¡¡but

8¡¡pounds¡£¡¡If¡¡the¡¡speed¡¡is¡¡60¡¡miles¡¡an¡¡hour¡¡the

pushing¡¡force¡¡increases¡¡to¡¡18¡¡pounds¡£



ACTION¡¡OF¡¡A¡¡SKIPPER¡£When¡¡the¡¡skipper¡¡leaves

the¡¡hands¡¡of¡¡the¡¡thrower¡¡it¡¡goes¡¡through¡¡the¡¡air

in¡¡such¡¡a¡¡way¡¡that¡¡its¡¡fiat¡¡surface¡¡is¡¡absolutely

on¡¡a¡¡line¡¡with¡¡the¡¡direction¡¡in¡¡which¡¡it¡¡is¡¡projected¡£



At¡¡first¡¡it¡¡moves¡¡through¡¡the¡¡air¡¡solely¡¡by¡¡force

of¡¡the¡¡power¡¡which¡¡impels¡¡it£»¡¡and¡¡does¡¡not¡¡in¡¡any

way¡¡depend¡¡on¡¡the¡¡air¡¡to¡¡hold¡¡it¡¡up¡£¡¡See¡¡Fig¡£

1£»¡¡in¡¡which¡¡A¡¡represents¡¡the¡¡line¡¡of¡¡projection£»

and¡¡B¡¡the¡¡disk¡¡in¡¡its¡¡flight¡£



_Fig¡£¡¡11¡£¡¡A¡¡Skipper¡¡in¡¡Flight¡£_



After¡¡it¡¡has¡¡traveled¡¡a¡¡certain¡¡distance£»¡¡and

the¡¡force¡¡decreases£»¡¡it¡¡begins¡¡to¡¡descend£»¡¡thus¡¡describing

the¡¡line¡¡C£»¡¡Fig¡£¡¡1£»¡¡the¡¡disk¡¡B£»¡¡in¡¡this¡¡case

descending£»¡¡without¡¡changing¡¡its¡¡position£»¡¡which

might¡¡be¡¡described¡¡by¡¡saying¡¡that¡¡it¡¡merely¡¡settles

down¡¡to¡¡the¡¡earth¡¡without¡¡changing¡¡its¡¡plane¡£



The¡¡skipper¡¡still¡¡remains¡¡horizontal£»¡¡so¡¡that¡¡as

it¡¡moves¡¡toward¡¡the¡¡earth¡¡its¡¡flat¡¡surface£»¡¡which

is¡¡now¡¡exposed¡¡to¡¡the¡¡action¡¡of¡¡the¡¡air£»¡¡meets

with¡¡a¡¡resistance£»¡¡and¡¡this¡¡changes¡¡the¡¡angle¡¡of

the¡¡disk£»¡¡so¡¡that¡¡it¡¡will¡¡not¡¡be¡¡horizontal¡£¡¡Instead

it¡¡assumes¡¡the¡¡position¡¡as¡¡indicated¡¡at¡¡D£»

and¡¡this¡¡impinging¡¡effect¡¡against¡¡the¡¡air¡¡causes

the¡¡skipper¡¡to¡¡move¡¡upwardly¡¡along¡¡the¡¡line¡¡E£»

and¡¡having¡¡reached¡¡a¡¡certain¡¡limit£»¡¡as¡¡at£»¡¡say¡¡E£»

it¡¡automatically¡¡again¡¡changes¡¡its¡¡angle¡¡and¡¡moves

downwardly¡¡along¡¡the¡¡path¡¡F£»¡¡and¡¡thus¡¡continues

to¡¡undulate£»¡¡more¡¡or¡¡less£»¡¡dependent¡¡on¡¡the¡¡combined

action¡¡of¡¡the¡¡power¡¡and¡¡weight£»¡¡or¡¡momentum£»

until¡¡it¡¡reaches¡¡the¡¡earth¡£



It¡¡is£»¡¡therefore£»¡¡clear¡¡that¡¡the¡¡atmosphere¡¡has

an¡¡action¡¡on¡¡a¡¡plane¡¡surface£»¡¡and¡¡that¡¡the¡¡extent

of¡¡the¡¡action£»¡¡to¡¡sustain¡¡it¡¡in¡¡flight£»¡¡depends¡¡on¡¡two

things£»¡¡surface¡¡and¡¡speed¡£



Furthermore£»¡¡the¡¡greater¡¡the¡¡speed¡¡the¡¡less¡¡the

necessity¡¡for¡¡surface£»¡¡and¡¡that¡¡for¡¡gliding¡¡purposes

speed¡¡may¡¡be¡¡sacrificed£»¡¡in¡¡a¡¡large¡¡measure£»

where¡¡there¡¡is¡¡a¡¡large¡¡surface¡£



This¡¡very¡¡action¡¡of¡¡the¡¡skipper¡¡is¡¡utilized¡¡by

the¡¡aviator¡¡in¡¡volplaning£»that¡¡is£»¡¡where¡¡the

power¡¡of¡¡the¡¡engine¡¡is¡¡cut¡¡off£»¡¡either¡¡by¡¡accident£»

or¡¡designedly£»¡¡and¡¡the¡¡machine¡¡descends¡¡to¡¡the

earth£»¡¡whether¡¡in¡¡a¡¡long¡¡straight¡¡glide£»¡¡or¡¡in¡¡a

great¡¡circle¡£



As¡¡the¡¡machine¡¡nears¡¡the¡¡earth¡¡it¡¡is¡¡caused¡¡to

change¡¡the¡¡angle¡¡of¡¡flight¡¡by¡¡the¡¡control¡¡mechanism

so¡¡that¡¡it¡¡will¡¡dart¡¡upwardly¡¡at¡¡an¡¡angle£»¡¡or¡¡downwardly£»

and¡¡thus¡¡enable¡¡the¡¡pilot¡¡to¡¡sail¡¡to¡¡another

point¡¡beyond¡¡where¡¡he¡¡may¡¡safely¡¡land¡£

This¡¡changing¡¡the¡¡course¡¡of¡¡the¡¡machine¡¡so¡¡that

it¡¡will¡¡glide¡¡upwardly£»¡¡means¡¡that¡¡the¡¡incidence

of¡¡the¡¡planes¡¡has¡¡been¡¡changed¡¡to¡¡a¡¡positive

angle¡£



ANGLE¡¡OF¡¡INCIDENCE¡£In¡¡aviation¡¡this¡¡is¡¡a¡¡term

given¡¡to¡¡the¡¡position¡¡of¡¡a¡¡plane£»¡¡relative¡¡to¡¡the

air¡¡against¡¡which¡¡it¡¡impinges¡£¡¡If£»¡¡for¡¡instance£»

an¡¡aeroplane¡¡is¡¡moving¡¡through¡¡the¡¡air¡¡with¡¡the

front¡¡margin¡¡of¡¡the¡¡planes¡¡higher¡¡than¡¡their¡¡rear

margins£»¡¡it¡¡is¡¡said¡¡to¡¡have¡¡the¡¡planes¡¡at¡¡a¡¡positive

angle¡¡of¡¡incidence¡£¡¡If¡¡the¡¡rear¡¡margins¡¡are

higher¡¡than¡¡the¡¡front£»¡¡then¡¡the¡¡planes¡¡have¡¡a¡¡negative

angle¡¡of¡¡incidence¡£



The¡¡word¡¡incidence¡¡really¡¡means£»¡¡a¡¡falling

upon£»¡¡or¡¡against£»¡¡and¡¡it¡¡will¡¡be¡¡seen£»¡¡therefore£»

that¡¡the¡¡angle¡¡of¡¡incidence¡¡means¡¡the¡¡tilt¡¡of¡¡the

planes¡¡in¡¡relation¡¡to¡¡the¡¡air¡¡which¡¡strikes¡¡it¡£



Having¡¡in¡¡view£»¡¡therefore£»¡¡that¡¡the¡¡two¡¡qualities£»

namely£»¡¡speed¡¡and¡¡surface£»¡¡bear¡¡an¡¡intimate

relation¡¡with¡¡each¡¡other£»¡¡it¡¡may¡¡be¡¡understood

wherein¡¡mechanical¡¡flight¡¡is¡¡supposed¡¡to¡¡be¡¡analogous

to¡¡bird¡¡flight¡£



SPEED¡¡AND¡¡SURFACE¡£Birds¡¡which¡¡poise¡¡in¡¡the

air£»¡¡like¡¡the¡¡humming¡¡bird£»¡¡do¡¡so¡¡because¡¡they

beat¡¡their¡¡wings¡¡with¡¡great¡¡rapidity¡£¡¡Those

which¡¡soar£»¡¡as¡¡stated£»¡¡can¡¡do¡¡so¡¡only¡¡by¡¡moving

through¡¡the¡¡atmosphere¡¡rapidly£»¡¡or¡¡by¡¡having¡¡a

large¡¡wing¡¡spread¡¡relative¡¡to¡¡the¡¡weight¡£¡¡It¡¡will

thus¡¡be¡¡seen¡¡that¡¡speed¡¡and¡¡surface¡¡become¡¡the

controlling¡¡factors¡¡in¡¡flight£»¡¡and¡¡that¡¡while¡¡the

latter¡¡may¡¡be¡¡entirely¡¡eliminated¡¡from¡¡the¡¡problem£»

speed¡¡is¡¡absolutely¡¡necessary¡¡under¡¡any¡¡and

all¡¡conditions¡£



By¡¡speed¡¡in¡¡this¡¡connection¡¡is¡¡not¡¡meant¡¡high

velocity£»¡¡but¡¡that¡¡a¡¡movement£»¡¡produced¡¡by¡¡power

expressed¡¡in¡¡some¡¡form£»¡¡is¡¡the¡¡sole¡¡and¡¡most¡¡necessary

requisite¡¡to¡¡movement¡¡through¡¡the¡¡air¡¡with

all¡¡heavier¡­than¡­air¡¡machines¡£



If¡¡sufficient¡¡power¡¡can¡¡be¡¡applied¡¡to¡¡an¡¡aeroplane£»

surface¡¡is¡¡of¡¡no¡¡consequence£»¡¡shape¡¡need

not¡¡be¡¡considered£»¡¡and¡¡any¡¡sort¡¡of¡¡contrivance

will¡¡move¡¡through¡¡the¡¡air¡¡horizontally¡£



CONTROL¡¡OF¡¡THE¡¡DIRECTION¡¡OF¡¡FLIGHT¡£But¡¡the

control¡¡of¡¡such¡¡a¡¡body£»¡¡when¡¡propelled¡¡through

space¡¡by¡¡force¡¡alone£»¡¡is¡¡a¡¡different¡¡matter¡£¡¡To

change¡¡the¡¡machine¡¡from¡¡a¡¡straight¡¡path¡¡to¡¡a

curved¡¡one£»¡¡means¡¡that¡¡it¡¡must¡¡be¡¡acted¡¡upon¡¡by

some¡¡external¡¡force¡£



We¡¡have¡¡explained¡¡that¡¡power¡¡is¡¡something

which¡¡is¡¡inherent¡¡in¡¡the¡¡thing¡¡itself¡£¡¡Now£»¡¡in¡¡order

that¡¡there¡¡may¡¡be¡¡a¡¡change¡¡imparted¡¡to¡¡a

moving¡¡mass£»¡¡advantage¡¡must¡¡be¡¡taken¡¡of¡¡the¡¡medium

through¡¡which¡¡it¡¡moves£»the¡¡atmosphere¡£



VERTICAL¡¡CONTROL¡¡PLANES¡£If¡¡vertically¡­arranged

planes¡¡are¡¡provided£»¡¡either¡¡fore¡¡or¡¡aft¡¡of

the¡¡machine£»¡¡or¡¡at¡¡both¡¡ends£»¡¡the¡¡angles¡¡of¡¡incidence

may¡¡be¡¡such¡¡as¡¡to¡¡cause¡¡the¡¡machine¡¡to

turn¡¡from¡¡its¡¡straight¡¡course¡£



In¡¡practice£»¡¡therefore£»¡¡since¡¡it¡¡is¡¡difficult¡¡to¡¡supply

sufficient¡¡power¡¡to¡¡a¡¡machine¡¡to¡¡keep¡¡it¡¡in¡¡motion

horizontally£»¡¡at¡¡all¡¡times£»¡¡aeroplanes¡¡are¡¡provided

with¡¡supporting¡¡surfaces£»¡¡and¡¡this¡¡aid¡¡in

holding¡¡it¡¡up¡¡grows¡¡less¡¡and¡¡less¡¡as¡¡its¡¡speed¡¡increases¡£



But£»¡¡however¡¡strong¡¡the¡¡power£»¡¡or¡¡great¡¡the

speed£»¡¡its¡¡control¡¡from¡¡side¡¡to¡¡side¡¡is¡¡not¡¡dependent

on¡¡the¡¡power¡¡of¡¡the¡¡engine£»¡¡or¡¡the¡¡speed

at¡¡which¡¡it¡¡travels¡¡through¡¡the¡¡air¡£



Here¡¡the¡¡size¡¡of¡¡the¡¡vertical¡¡planes£»¡¡and¡¡their

angles£»¡¡are¡¡the¡¡only¡¡factors¡¡to¡¡be¡¡considered£»¡¡and

these¡¡questions¡¡will¡¡be¡¡considered¡¡in¡¡their¡¡proper

places¡£









CHAPTER¡¡III



THE¡¡FORM¡¡OR¡¡SHAPE¡¡OF¡¡FLYING¡¡MACHINES





EVERY¡¡investigator£»¡¡experimenter£»¡¡and¡¡scientist£»

who¡¡has¡¡given¡¡the¡¡subject¡¡of¡¡flight¡¡study£»¡¡proceeds

on¡¡the¡¡theory¡¡that¡¡in¡¡order¡¡to¡¡fly¡¡man¡¡must

copy¡¡nature£»¡¡and¡¡make¡¡the¡¡machine¡¡similar¡¡to¡¡the

type¡¡so¡¡provided¡£



THE¡¡THEORY¡¡OF¡¡COPYING¡¡NATURE¡£If¡¡such¡¡is¡¡the

case¡¡then¡¡it¡¡is¡¡pertinent¡¡to¡¡inquire¡¡which¡¡bird¡¡is

the¡¡proper¡¡example¡¡to¡¡use¡¡for¡¡mechanical¡¡flight¡£

We¡¡have¡¡shown¡¡that¡¡they¡¡differ¡¡so¡¡radically¡¡in

every¡¡essential£»¡¡that¡¡what¡¡would¡¡be¡¡correct¡¡in¡¡one

thing¡¡would¡¡be¡¡entirely¡¡wrong¡¡in¡¡another¡£



The¡¡bi¡­plane¡¡is¡¡certainly¡¡not¡¡a¡¡true¡¡copy¡£¡¡The

only¡¡thing¡¡in¡¡the¡¡Wright¡¡machine¡¡which¡¡in¡¡any

way¡¡resembles¡¡the¡¡bird's¡¡wing£»¡¡is¡¡the¡¡rounded¡¡end

of¡¡the¡¡planes£»¡¡and¡¡judging¡¡from¡¡other¡¡machines£»

which¡¡have¡¡square¡¡ends£»¡¡this¡¡slight¡¡similarity¡¡does

not¡¡contribute¡¡to¡¡its¡¡stability¡¡or¡¡otherwise¡¡help

the¡¡structure¡£



The¡¡monoplane£»¡¡which¡¡is¡¡much¡¡nearer¡¡the¡¡bird

type£»¡¡has¡¡also¡¡sounded¡¡wing¡¡ends£»¡¡made¡¡not¡¡so

much¡¡for¡¡the¡¡purpose¡¡of¡¡imitating¡¡the¡¡wing¡¡of¡¡the

bird£»¡¡as¡¡for¡¡structural¡¡reasons¡£



HULLS¡¡OF¡¡VESSELS¡£If¡¡some¡¡marine¡¡architect

should¡¡come¡¡forward¡¡and¡¡assert¡¡that¡¡he¡¡intended

to¡¡follow¡¡nature¡¡by¡¡making¡¡a¡¡boat¡¡with¡¡a¡¡hull¡¡of

the¡¡shape¡¡or¡¡outline¡¡of¡¡a¡¡duck£»¡¡or¡¡other¡¡swimming

fowl£»¡¡he¡¡would¡¡be¡¡laughed¡¡at£»¡¡and¡¡justly¡¡so£»¡¡because

the¡¡lines¡¡of¡¡vessels¡¡which¡¡are¡¡most¡¡efficient

are¡¡not¡¡made¡¡like¡¡those¡¡of¡¡a¡¡duck¡¡or¡¡other¡¡swimming

creatures¡£



MAN¡¡DOES¡¡NOT¡¡COPY¡¡NATURE¡£Look¡¡about¡¡you£»

and¡¡see¡¡how¡¡many¡¡mechanical¡¡devices¡¡follow¡¡the

forms¡¡laid¡¡down¡¡by¡¡nature£»¡¡or¡¡in¡¡what¡¡respect

man¡¡uses¡¡the¡¡types¡¡which¡¡nature¡¡provides¡¡in¡¡devising

the¡¡many¡¡inventions¡¡which¡¡ingenuity¡¡has

bro
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