# Properties of Ratio

- Author:
- Yoganand Manohar Samant

## Observe and Explore

## Define and Prove

Consider equivalent ratios
then
The Property is known as and
then
The Property is known as

**Now take ratios of first terms of both ratios to the second terms.***INVERTENDO.**ALTERNENDO*Now take the ratios of addition both the terms of one ratio to the second term.
and
then
The property is known as
then
The property is known as and
then
The property is known as

*Now take the ratios of subtraction of both the terms of one ratio to the second term.***COMPONENDO.****and****Now take the ratios of addition of both the terms of one ratio to the subtraction of both term.***DIVIDENDO.***COMPONENDO-DIVIDENDO.**