proportion : [prəp'ɔrʃən]

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 ]

Proportion \

Pro *

por "

tion \,

v .

t . [

imp . &

p .

p . {

Proportioned };

p .

pr . &

vb .

n . {

Proportioning }.] [

Cf .

F .

proportionner .

Cf .

{

Proportionate },

v .]

1 .

To adjust in a suitable proportion ,

as one thing or one part to another ;

as ,

to proportion the size of a building to its height ;

to proportion our expenditures to our income .

[

1913 Webster ]

In the loss of an object we do not proportion our grief to the real value . . .

but to the value our fancies set upon it . --

Addison .

[

1913 Webster ]

2 .

To form with symmetry or suitableness ,

as the parts of the body .

[

1913 Webster ]

Nature had proportioned her without any fault . --

Sir P .

Sidney .

[

1913 Webster ]

3 .

To divide into equal or just shares ;

to apportion .

[

1913 Webster ]

Proportion \

Pro *

por "

tion \,

n . [

F .,

fr .

L .

proportio ;

pro before portio part or share .

See {

Portion }.]

[

1913 Webster ]

1 .

The relation or adaptation of one portion to another ,

or to the whole ,

as respect magnitude ,

quantity ,

or degree ;

comparative relation ;

ratio ;

as ,

the proportion of the parts of a building ,

or of the body .

[

1913 Webster ]

The image of Christ ,

made after his own proportion .

--

Ridley .

[

1913 Webster ]

Formed in the best proportions of her sex . --

Sir W .

Scott .

[

1913 Webster ]

Documents are authentic and facts are true precisely in proportion to the support which they afford to his theory . --

Macaulay .

[

1913 Webster ]

2 .

Harmonic relation between parts ,

or between different things of the same kind ;

symmetrical arrangement or adjustment ;

symmetry ;

as ,

to be out of proportion . "

Let us prophesy according to the proportion of faith ." --

Rom .

xii .

6 .

[

1913 Webster ]

3 .

The portion one receives when a whole is distributed by a rule or principle ;

equal or proper share ;

lot .

[

1913 Webster ]

Let the women . . .

do the same things in their proportions and capacities . --

Jer .

Taylor .

[

1913 Webster ]

4 .

A part considered comparatively ;

a share .

[

1913 Webster ]

5 . (

Math .)

(

a )

The equality or similarity of ratios ,

especially of geometrical ratios ;

or a relation among quantities such that the quotient of the first divided by the second is equal to that of the third divided by the fourth ; --

called also {

geometrical proportion },

in distinction from arithmetical proportion ,

or that in which the difference of the first and second is equal to the difference of the third and fourth .

[

1913 Webster ]

Note :

Proportion in the mathematical sense differs from ratio .

Ratio is the relation of two quantities of the same kind ,

as the ratio of 5 to 10 ,

or the ratio of 8 to 16 .

Proportion is the sameness or likeness of two such relations .

Thus ,

5 to 10 as 8 to 16 ;

that is ,

5 bears the same relation to 10 as 8 does to 16 .

Hence ,

such numbers are said to be in proportion .

Proportion is expressed by symbols thus :

[

1913 Webster ]

a :

b ::

c :

d ,

or a :

b =

c :

d ,

or a /

b =

c /

d .

[

1913 Webster ]

(

b )

The rule of three ,

in arithmetic ,

in which the three given terms ,

together with the one sought ,

are proportional .

[

1913 Webster ]

{

Continued proportion }, {

Inverse proportion },

etc .

See under {

Continued }, {

Inverse },

etc .

{

Harmonical proportion }

or {

Musical proportion },

a relation of three or four quantities ,

such that the first is to the last as the difference between the first two is to the difference between the last two ;

thus ,

2 ,

3 ,

6 ,

are in harmonical proportion ;

for 2 is to 6 as 1 to 3 .

Thus ,

24 ,

16 ,

12 ,

9 ,

are harmonical ,

for 24 :

9 ::

8 :

3 .

{

In proportion },

according as ;

to the degree that . "

In proportion as they are metaphysically true ,

they are morally and politically false ." --

Burke .

[

1913 Webster ]

proportion n 1 :

the quotient obtained when the magnitude of a part is divided by the magnitude of the whole 2 :

magnitude or extent ; "

a building of vast proportions " [

synonym :

{

proportion }, {

dimension }]

3 :

balance among the parts of something [

synonym : {

symmetry },

{

proportion }] [

ant : {

disproportion }]

4 :

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 }]

5 :

harmonious arrangement or relation of parts or elements within a whole (

as in a design ); "

in all perfectly beautiful objects there is found the opposition of one part to another and a reciprocal balance "-

John Ruskin [

synonym : {

proportion },

{

proportionality }, {

balance }]

v 1 :

give pleasant proportions to ; "

harmonize a building with those surrounding it "

2 :

adjust in size relative to other things 319 Moby Thesaurus words for "

proportion ":

accommodate ,

accord ,

acreage ,

adapt ,

addition ,

adjust ,

adjust to ,

agreement ,

allegory ,

allotment ,

allowance ,

amount ,

amplitude ,

analogousness ,

analogy ,

approximation ,

area ,

arithmetical proportion ,

arrangement ,

array ,

assimilate ,

attune ,

balance ,

balancing ,

beauty ,

big end ,

bigger half ,

bigness ,

bilateral symmetry ,

bit ,

bite ,

body ,

breadth ,

budget ,

bulk ,

caliber ,

cancel ,

capacity ,

change ,

chunk ,

coequality ,

coextension ,

commensurability ,

commission ,

comparability ,

comparableness ,

comparative anatomy ,

comparative degree ,

comparative grammar ,

comparative judgment ,

comparative linguistics ,

comparative literature ,

comparative method ,

comparativeness ,

compare ,

comparing ,

comparison ,

compass ,

compensate ,

concinnity ,

concord ,

conform ,

conformity ,

confrontation ,

confrontment ,

congruity ,

consistency ,

contingent ,

continued fraction ,

continuum ,

contrast ,

contrastiveness ,

coordinate ,

correlation ,

correspondence ,

counterbalance ,

counterpoise ,

countervail ,

coverage ,

cut ,

cut to ,

deal ,

degree ,

deployment ,

depth ,

destiny ,

diameter ,

differentiation ,

dimension ,

dimensions ,

disposal ,

disposition ,

distinction ,

distinctiveness ,

distribution ,

divide ,

dividend ,

division ,

dole ,

dynamic symmetry ,

emptiness ,

empty space ,

end ,

enlarge ,

equal share ,

equality ,

equalize ,

equate ,

equation ,

equilibrium ,

equipoise ,

equipollence ,

equiponderance ,

equity ,

equivalence ,

equivalency ,

euphony ,

eurythmics ,

eurythmy ,

even ,

even up ,

evenness ,

evolution ,

expanse ,

expansion ,

extension ,

extent ,

extrapolation ,

fate ,

field ,

finish ,

fit ,

fix ,

formation ,

fraction ,

galactic space ,

gauge ,

gear to ,

geometric ratio ,

girth ,

grade ,

graduate ,

greatness ,

group ,

half ,

halver ,

harmonic proportion ,

harmonize ,

harmony ,

height ,

helping ,

homologate ,

homologize ,

identity ,

improper fraction ,

infinite space ,

integrate ,

integration ,

interest ,

interpolation ,

interstellar space ,

interval ,

inversion ,

involution ,

justice ,

keeping ,

key to ,

largeness ,

layout ,

leap ,

length ,

level ,

levelness ,

likeness ,

likening ,

lineup ,

lot ,

magnitude ,

make plumb ,

make uniform ,

mark ,

marshaling ,

mass ,

match ,

matching ,

measure ,

measuredness ,

measurement ,

meed ,

mess ,

metaphor ,

modicum ,

modify ,

modulate ,

moiety ,

multilateral symmetry ,

multiplication ,

notation ,

notch ,

nothingness ,

nuance ,

opposing ,

opposition ,

order ,

orderedness ,

organization ,

outer space ,

par ,

parallelism ,

parity ,

part ,

pas ,

peace ,

peg ,

percent ,

percentage ,

period ,

piece ,

pitch ,

plane ,

plateau ,

point ,

poise ,

polarity ,

portion ,

practice ,

pro rata ,

proportionability ,

proportionality ,

proportionate ,

proportions ,

prorate ,

put in tune ,

quantum ,

quiet ,

quietude ,

quota ,

quotum ,

radius ,

rake -

off ,

range ,

rank ,

rate ,

ratio ,

ration ,

reach ,

reconcile ,

rectify ,

reduction ,

regularity ,

regularize ,

regulate ,

relation ,

relationship ,

remove ,

rhythm ,

right ,

round ,

routine ,

rule of three ,

rung ,

scale ,

scope ,

segment ,

set ,

set right ,

setup ,

shade ,

shadow ,

shape ,

shapeliness ,

share ,

similarity ,

similarize ,

simile ,

similitude ,

size ,

slice ,

small share ,

sort ,

space ,

spatial extension ,

sphere ,

spread ,

square ,

stair ,

stake ,

standard ,

step ,

stint ,

stock ,

strike a balance ,

structure ,

subtraction ,

suitableness ,

superficial extension ,

surface ,

sweetness ,

symmetricalness ,

symmetry ,

sync ,

synchronize ,

system ,

tailor ,

tract ,

tranquillity ,

transformation ,

tread ,

trilateral symmetry ,

trim to ,

trope of comparison ,

true ,

true up ,

tune ,

uniformity ,

void ,

volume ,

weighing ,

width
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