Category:Ratios
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This category contains results about Ratios.
Definitions specific to this category can be found in Definitions/Ratios.
Let $x$ and $y$ be quantities which have the same dimensions.
Let $\dfrac x y = \dfrac a b$ for two numbers $a$ and $b$.
Then the ratio of $x$ to $y$ is defined as:
- $x : y = a : b$
It explicitly specifies how many times the first number contains the second.
Subcategories
This category has the following 5 subcategories, out of 5 total.
Pages in category "Ratios"
The following 37 pages are in this category, out of 37 total.
E
I
M
- Magnitudes Proportional Compounded are Proportional Separated
- Magnitudes Proportional Separated are Proportional Compounded
- Magnitudes with Same Ratios are Equal
- Multiples of Alternate Ratios of Equal Fractions
- Multiples of Ratios of Numbers
- Multiples of Terms in Equal Ratios
- Multiples of Terms in Equal Ratios/Euclid's Proof
P
- Proportion of Numbers is Transitive
- Proportional Magnitudes are Proportional Alternately
- Proportional Magnitudes have Proportional Remainders
- Proportional Magnitudes have Proportional Remainders/Porism
- Proportional Numbers are Proportional Alternately
- Proportional Numbers have Proportional Differences
R
- Ratio Equals its Multiples
- Ratios of Equal Magnitudes
- Ratios of Equal Magnitudes/Porism
- Ratios of Fractions in Lowest Terms
- Ratios of Multiples of Numbers
- Ratios of Numbers is Distributive over Addition
- Relation of Ratios to Products
- Relative Sizes of Components of Ratios
- Relative Sizes of Elements in Perturbed Proportion
- Relative Sizes of Magnitudes on Unequal Ratios
- Relative Sizes of Proportional Magnitudes
- Relative Sizes of Ratios on Unequal Magnitudes
- Relative Sizes of Successive Ratios