The original Latin version of Newton's three laws of motion is attached. The English translation can be found at page 83 in this link, https://archive.org/details/newtonspmathema00newtrich/page/n87/mode/2up

The three laws are listed in Book 1 of the Principia, in the scholium section following the definitions.

It should be noted that the Latin word 'motum' is translated as 'motion'.

If we treat the term 'motion' as meaning 'momentum', then this ties in perfectly with the modern representations in the textbooks. We are then entitled to add the bit about the acceleration being inversely proportional to the mass.

Is this what Newton intended?

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