ratio 音標拼音: [r'eʃi

, o]

n . 比率,比例,系數

比率,比例,系數

ratio 比,比率

R ratio 比 比率

ratio n 1 :

the relative magnitudes of two quantities (

usually expressed as a quotient )

2 :

the relation between things (

or parts of things )

with respect to their comparative quantity ,

magnitude ,

or degree ; "

an inordinate proportion of the book is given over to quotations "; "

a dry martini has a large proportion of gin "

[

synonym : {

proportion }, {

ratio }]

Geometric \

Ge `

o *

met "

ric \,

Geometrical \

Ge `

o *

met "

ric *

al \,

a . [

L .

geometricus ;

Gr . ?:

cf .

F .

g ['

e ]

om ['

e ]

trique .]

1 .

Pertaining to ,

or according to the rules or principles of ,

geometry ;

determined by geometry ;

as ,

a geometrical solution of a problem .

[

1913 Webster ]

2 . (

Art )

characterized by simple geometric forms in design and decoration ;

as ,

a buffalo hide painted with red and black geometrical designs .

Syn :

geometric .

[

WordNet 1 .

5 ]

Note :

Geometric is often used ,

as opposed to algebraic ,

to include processes or solutions in which the propositions or principles of geometry are made use of rather than those of algebra .

[

1913 Webster ]

Note :

Geometrical is often used in a limited or strictly technical sense ,

as opposed to mechanical ;

thus ,

a construction or solution is geometrical which can be made by ruler and compasses ,

i .

e .,

by means of right lines and circles .

Every construction or solution which requires any other curve ,

or such motion of a line or circle as would generate any other curve ,

is not geometrical ,

but mechanical .

By another distinction ,

a geometrical solution is one obtained by the rules of geometry ,

or processes of analysis ,

and hence is exact ;

while a mechanical solution is one obtained by trial ,

by actual measurements ,

with instruments ,

etc .,

and is only approximate and empirical .

[

1913 Webster ]

{

Geometrical curve }.

Same as {

Algebraic curve }; --

so called because their different points may be constructed by the operations of elementary geometry .

{

Geometric lathe },

an instrument for engraving bank notes ,

etc .,

with complicated patterns of interlacing lines ; --

called also {

cycloidal engine }.

{

Geometrical pace },

a measure of five feet .

{

Geometric pen },

an instrument for drawing geometric curves ,

in which the movements of a pen or pencil attached to a revolving arm of adjustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm .

{

Geometrical plane } (

Persp .),

the same as {

Ground plane } .

{

Geometrical progression }, {

proportion }, {

ratio }.

See under {

Progression }, {

Proportion }

and {

Ratio }.

{

Geometrical radius },

in gearing ,

the radius of the pitch circle of a cogwheel . --

Knight .

{

Geometric spider } (

Zool .),

one of many species of spiders ,

which spin a geometrical web .

They mostly belong to {

Epeira }

and allied genera ,

as the garden spider .

See {

Garden spider }.

{

Geometric square },

a portable instrument in the form of a square frame for ascertaining distances and heights by measuring angles .

{

Geometrical staircase },

one in which the stairs are supported by the wall at one end only .

{

Geometrical tracery },

in architecture and decoration ,

tracery arranged in geometrical figures .

[

1913 Webster ]

Ratio \

Ra "

ti *

o \ (

r [=

a ]"

sh [

i ^]*[-

o ]

or r [=

a ]"

sh [-

o ]),

n . [

L .,

fr .

reri ,

ratus ,

to reckon ,

believe ,

think ,

judge .

See {

Reason }.]

1 . (

Math .)

The relation which one quantity or magnitude has to another of the same kind .

It is expressed by the quotient of the division of the first by the second ;

thus ,

the ratio of 3 to 6 is expressed by 3 /

6 or 1 /

2 ;

of a to b by a /

b ;

or (

less commonly )

the second term is made the dividend ;

as ,

a :

b =

b /

a .

[

1913 Webster ]

Note :

Some writers consider ratio as the quotient itself ,

making ratio equivalent to a number .

[

1913 Webster ]

The term ratio is also sometimes applied to the difference of two quantities as well as to their quotient ,

in which case the former is called arithmetical ratio ,

the latter ,

geometrical ratio .

The name ratio is sometimes given to the rule of three in arithmetic .

See under {

Rule }.

[

1913 Webster ]

2 .

Hence ,

fixed relation of number ,

quantity ,

or degree ;

rate ;

proportion ;

as ,

the ratio of representation in Congress .

[

1913 Webster ]

{

Compound ratio }, {

Duplicate ratio }, {

Inverse ratio },

etc .

See under {

Compound }, {

Duplicate },

etc .

{

Ratio of a geometrical progression },

the constant quantity by which each term is multiplied to produce the succeeding one .

[

1913 Webster ]

89 Moby Thesaurus words for "

ratio ":

Vernunft ,

amount ,

analogousness ,

arithmetical proportion ,

balance ,

brain ,

brains ,

caliber ,

commensurability ,

comparability ,

comparableness ,

comparativeness ,

compass ,

conception ,

continued fraction ,

correlation ,

correspondence ,

cut ,

degree ,

discourse of reason ,

discursive reason ,

equivalence ,

esprit ,

extent ,

fraction ,

geometric ratio ,

grade ,

gray matter ,

harmonic proportion ,

head ,

headpiece ,

height ,

improper fraction ,

intellect ,

intellection ,

intellectual faculty ,

intelligence ,

interval ,

leap ,

level ,

mark ,

measure ,

mens ,

mental capacity ,

mentality ,

mind ,

notch ,

nous ,

nuance ,

pas ,

peg ,

percent ,

percentage ,

period ,

pitch ,

plane ,

plateau ,

point ,

power of reason ,

proportion ,

proportionability ,

psyche ,

quota ,

quotum ,

range ,

rate ,

rationality ,

reach ,

reason ,

reasoning ,

reasoning faculty ,

relationship ,

remove ,

round ,

rule of three ,

rung ,

scale ,

scope ,

shade ,

shadow ,

similarity ,

smarts ,

space ,

stair ,

standard ,

step ,

stint ,

tread ,

understanding
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