In Order To Improve The Mind, We

For I Found Myself Embarrassed With So Many Doubts And Errors That It Seemed To Me That The Effort To Instruct Myself Had No Effect Other Than Th Eincreasing Discovery Of My Own Ignorance

Divide Each Difficulty Into As Many Parts As Is Feasible And Necessary To Resolve It.

For To Be Possessed Of A Vigorous Mind Is Not Enough; The Prime Requisite Is Rightly To Apply It.

Even Those Who Have The Weakest Souls Could Acquire Absolute Mastery Over All Their Passions If We Employed Sufficient Ingenuity In Training And Guiding Them.

Neither The True Nor The False Roots Are Always Real; Sometimes They Are Imaginary; That Is, While We Can Always Imagine As Many Roots For Each Equation As I Have Assigned, Yet There Is Not Always A Definite Quantity Corresponding To Each Root We Have Imagined.