# Proportion

## References

### 2019

• (Wikipedia, 2019) ⇒ https://en.wikipedia.org/wiki/Proportionality Retrieved:2019-6-29.
• Proportionality may refer to:
• Proportionality (mathematics), the property of two variables being in a multiplicative relation to a constant
• Proportionality (law), a legal principle under municipal law in which the punishment of a certain crime should be in proportion to the severity of the crime itself, and under international law an important consideration when assessing the military necessity of an attack on a military objective
• Proportion redirects here. The proportion may refer to:
• The ratio of one quantity to another, especially of a part compared to a whole (see also fraction). In another mathematical context, a proportion is the statement of equality between two ratios.
• Proportion (architecture) describes the relationships between elements of a design
• Body proportions, in art, are the study of relation of human body parts to each other and the whole
• Proportions, or geometric aspect ratio.
• Proportional redirects here. Proportional may refer to:

### 2009

• (WordNet, 2009) ⇒ http://wordnetweb.princeton.edu/perl/webwn?s=proportion
• S: (n) proportion (the quotient obtained when the magnitude of a part is divided by the magnitude of the whole)
• S: (n) proportion, dimension (magnitude or extent) "a building of vast proportions"
• S: (n) symmetry, proportion (balance among the parts of something)
• S: (n) proportion, ratio (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"
• S: (n) proportion, proportionality, balance (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
• S: (v) proportion (give pleasant proportions to) "harmonize a building with those surrounding it"
• S: (v) proportion (adjust in size relative to other things)

### 2007

• http://www.isi.edu/~hobbs/bgt-arithmetic.text
• 3. Measures and Proportions. Sets of rational numbers, and hence sets of nonnegative integers, are very important examples of scales. We will focus on sets in which 0 is the smallest element. If e is the "lt" relation between x and y and s1 is a set of numbers containing 0 but no smaller number, then there is a nonnegative numeric scale s with s1 as its set and e as its partial ordering. … Suppose we have two points x and y on a scale s1 which has a measure. Then the proportion of x to y is the fraction whose numerator and denominator are the numbers the measure maps x and y into, respectively. … In more conventional notation, if m is a measure function mapping s1 into a nonnegative numeric scale, then the proportion f of x to y is given by "f = m(x)/m(y)". … Thus, we can talk about the proportion of one point on a numeric scale to another, via the identity measure.

### 2003

• http://mathforum.org/library/drmath/view/63884.html
• Definition of Ratio
• This is as much an English language question as a math question, and that makes it very confusing. Words like this are not used as consistently as you might expect, even among math teachers or mathematicians.
• Merriam-Webster (m-w.com) says
• ratio 1
• a : the indicated quotient of two mathematical expressions
• b : the relationship in quantity, amount, or size between two or more things : PROPORTION
• proportion
• 3 : the relation of one part to another or to the whole with respect to magnitude, quantity, or degree : RATIO
• 4 : SIZE, DIMENSION
• 5 : a statement of equality between two ratios in which the first of the four terms divided by the second equals the third divided by the fourth (as in 4/2=10/5)