Now I Will Have Less Distraction.

If A Nonnegative Quantity Was So Small That It Is Smaller Than Any Given One, Then It Certainly Could Not Be Anything But Zero. To Those Who Ask What The Infinitely Small Quantity In Mathematics Is, We Answer That It Is Actually Zero. Hence There Are Not So Many Mysteries Hidden In This Concept As They Are Usually Believed To Be. These Supposed Mysteries Have Rendered The Calculus Of The Infinitely Small Quite Suspect To Many People. Those Doubts That Remain We Shall Thoroughly Remove In The Following Pages, Where We Shall Explain This Calculus.

Transcendental [numbers], They Transcend The Power Of Algebraic Methods.

Although To Penetrate Into The Intimate Mysteries Of Nature And Thence To Learn The True Causes Of Phenomena Is Not Allowed To Us, Nevertheless It Can Happen That A Certain Fictive Hypothesis May Suffice For Explaining Many Phenomena.

Since The Fabric Of The Universe Is Most Perfect And The Work Of A Most Wise Creator, Nothing At All Takes Place In The Universe In Which Some Rule Of Maximum Or Minimum Does Not Appear ... There Is Absolutely No Doubt That Every Affect In The Universe Can Be Explained Satisfactorily From Final Causes, By The Aid Of The Method Of Maxima And Minima, As It Can Be From The Effective Causes Themselves ... Of Course, When The Effective Causes Are Too Obscure, But The Final Causes Are Readily Ascertained, The Problem Is Commonly Solved By The Indirect Method.

A Function Of A Variable Quantity Is An Analytic Expression Composed In Any Way Whatsoever Of The Variable Quantity And Numbers Or Constant Quantities.