# Corollaries 1-2

by Isaac Newton

##### 2 minutes • 217 words

## Table of contents

## Corollary 1

A body that is moved by two perpendicular forces will move in a diagonal

- A force
`M`

impressed on a body at A will be uniformly carried from`A`

to`B`

. - A force
`N`

impressed at`A`

will be carried from`A`

to`C`

. - If
`N`

and`M`

act together, their forces will an the same time be carried in the diagonal from`A`

to`D`

.- Law 2 means that
`N`

will not at all change the velocity generated by`M`

- The body therefore will arrive at the line BD in the same time, whether the force
`N`

be impressed or not. Therefore at the end of that time, it will be found somewhere in the line BD.

- Law 2 means that
- Likewise, it will be found somewhere in the line CD at the end of the same time, if N were impressed. Therefore, it will be in the point D where both lines meet.
- But Law 1 means that it will move from A to D.

## Corollary 2

Thus, a single force AD is made up of two forces AC and CD just as those two forces can arise from AD.

Center O has 2 unequal radii OM and ON. M sustains a weight A through a cord MA. N sustains a weight P by the cord NP…