Geometry Is The Archetype Of The Beauty

I Myself, A Professional Mathematician, On Re-reading My Own Work Find It Strains My Mental Powers To Recall To Mind From The Figures The Meanings Of The Demonstrations, Meanings Which I Myself Originally Put Into The Figures And The Text From My Mind. But When I Attempt To Remedy The Obscurity Of The Material By Putting In Extra Words, I See Myself Falling Into The Opposite Fault Of Becoming Chatty In Something Mathematical.

If The Moon And Earth Were Not Retained In Their Orbits By Their Animal Force Or Some Other Equivalent, The Earth Would Mount To The Moon By A Fifty-fourth Part Of Their Distance, And The Moon Fall Towards The Earth Through The Other Fifty-three Parts, And They Would There Meet, Assuming, However, That The Substance Of Both Is Of The Same Density.

It Is A Right, Yes A Duty, To Search In Cautious Manner For The Numbers, Sizes, And Weights, The Norms For Everything [god] Has Created. For He Himself Has Let Man Take Part In The Knowledge Of These Things ... For These Secrets Are Not Of The Kind Whose Research Should Be Forbidden; Rather They Are Set Before Our Eyes Like A Mirror So That By Examining Them We Observe To Some Extent The Goodness And Wisdom Of The Creator.

Truth Is The Daughter Of Time, And I Feel No Shame In Being Her Midwife.

Just As The Eye Was Made To See Colours, And The Ear To Hear Sounds, So The Human Mind Was Made To Understand, Not Whatever You Please, But Quantity.