INTRODUCTION, 



THE object of this Analytical View is two-fold; 

 first, to assist those who are desirous of under 

 standing the truths unfolded in the Prindpia^ and 

 of knowing upon what foundation rests the claim 

 of that work to be regarded as the greatest monu 

 ment of human genius secondly, to explain the 

 connexion of its various parts with each other, and 

 with the preceding and the subsequent progress 

 of the science. 



I. It cannot be denied that fully to comprehend 

 the propositions, to follow the demonstrations 

 throughout, requires the reader to be well ac 

 quainted with the Mathematics; and even one so 

 prepared, will find the task far from easy in conse 

 quence of the synthetical method almost every 

 where adopted, the geometrical form of the inves 

 tigation in many cases where the algebraical would 

 be more convenient, and the extreme conciseness 

 very generally studied, often to the omission of 



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