Submitted to 

 the reader. 



J'J'g REMARKS ON BARROW'S EUCf.IB» 



must confess, that, to me, they appeared to hate soma 

 weight ; I resolved therefore to send them to you, accom- 

 panied with such remarks (for I dare not aspire to call 

 them notes critical and geometrical) as appeared most ap- 

 plicable. 



These objections and remarks, Sir, are submitted to yon, 

 and (should you deem them worthy of insertion in your 

 widely circulated Journal) to your geometrical readers, with 

 the greatest humility. 



I am, Sir, 



Your obliged and constant reader, 



W. SAINT, 



Of the Royal Military Academy, WoofakA* 



Definition 6\ 

 Definition 6. u An even number is that which may be divided into two* 

 equal parts." 



Definition 7. 



Definition?. c< But an odd number is that which cannot be divided 

 into two equal parts; or that which diffcreth from an even 

 number by unity." 



Remarks. Against these definitions it has been objected, that they 



are deficient in the word integral ; which, it has been thought 

 by some, should have been inserted between the words 

 H equal parts" in each definition: for, it has been urged, 

 any odd number is divisible into two equal parts ; as 5, for 

 instance may be divided into two equal parts 2| and °L\. 

 To this objection however these definitions are not liable, 

 for number is defined to be " a multitude composed of 

 units," and part to be " a number of a number:" there- 

 fore a part also must be u composed of units," and hence 

 the objection is obviated. 



Definition 8. 

 Definition 8. Ci A number evenly even is that which an even number 

 measureth by an even number." 



Definition 



