^^Definitiones. Philosophiae naturalis principia mathematica.

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I Quantitas materiae est mensura ejusdem,
orta ex illius densitate et magnitudine conjunctim.
La quantita' di materia e' misura di essa,
sorta dalla di lei densita' e magnitudine congiuntamente.
  The quantity of matter is the measure of the same, arising from its density and magnitude [volume] conjunctly.
 
II Quantitas motus est mensura ejusdem,
orta ex velocitate et quantitate
materiae conjunctim.
La quantita' di moto e' misura di esso,
sorta da velocita' e quantita' di materia congiuntamente.
  The quantity of motion is the measure of the same, arising from the velocity and quantity of matter conjunctly.  

 

1. Thus air of a double density, in a double space, is quadruple in quantity; in a triple space, sextuple in quantity. The same thing is to be understood of snow, and fine dust or powders, that are condensed by compression or liquefaction; and of all bodies that are by any causes whatever differently condensed. I have no regard in this place to a medium, if any such there is, that freely pervades the interstices between the parts of bodies. It is this quantity that I mean hereafter everywhere under the name of body or mass. And the same is known by the weight of each body; for it is proportional to the weight, as I have found by experiments on pendulums, very accurately made, which shall be shewn hereafter.

 

2. The motion of the whole is the sum of the motions of all the parts; and therefore in a body double in quantity, with equal velocity, the motion is double; with twice the velocity, it is quadruple.

 

Definitio I

Ejusdem rob: ejus-dem esso-di, di esso. eiu stesso

ejus = eius = egli = ess-o/a = lui; 

dem = di; ejus-dem = esso(di).

Of the same, Ibidem, del-la medesim-o/a, istesso, 

orta  
   

La quantita' di X e' la misura di X

Quantitas materiae est mensura ejusdem.

Quantitas motus est mensura ejusdem.

La quantita' di materia e' la misura della materia.

La quantita' di moto e' la misura del moto.

 

Rob: bisogna sapere se e':

 

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