It Is Always Noteworthy That All Those

Mathematics Is The Queen Of Sciences And Number Theory Is The Queen Of Mathematics. She Often Condescends To Render Service To Astronomy And Other Natural Sciences, But In All Relations She Is Entitled To The First Rank.

My Young Friend, I Wish That Science Would Intoxicate You As Much As Our Good Göttingen Beer! Upon Seeing A Student Staggering Down A Street.

As Is Well Known The Principle Of Virtual Velocities Transforms All Statics Into A Mathematical Assignment, And By D'alembert's Principle For Dynamics, The Latter Is Again Reduced To Statics. Although It Is Is Very Much In Order That In Gradual Training Of Science And In The Instruction Of The Individual The Easier Precedes The More Difficult, The Simple Precedes The More Complicated, The Special Precedes The General, Yet The Min, Once It Has Arrived At The Higher Standpoint, Demands The Reverse Process Whereby All Statics Appears Only As A Very Special Case Of Mechanics.

Sin2 φ Is Odious To Me, Even Though Laplace Made Use Of It; Should It Be Feared That Sin2 φ Might Become Ambiguous, Which Would Perhaps Never Occur, Or At Most Very Rarely When Speaking Of Sin(φ2), Well Then, Let Us Write (sin φ)2, But Not Sin2 φ, Which By Analogy Should Signify Sin (sin φ)

In The Last Two Months I Have Been Very Busy With My Own Mathematical Speculations, Which Have Cost Me Much Time, Without My Having Reached My Original Goal. Again And Again I Was Enticed By The Frequently Interesting Prospects From One Direction To The Other, Sometimes Even By Will-o'-the-wisps, As Is Not Rare In Mathematic Speculations.