Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.
The shortest distance between two points is a straight line.
Mathematics is the language in which God has written the universe.
Mathematics is written for mathematicians.
Where there is matter, there is geometry.
There is geometry in the humming of the strings, there is music in the spacing of the spheres.
Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.
It is unworthy of excellent men to lose hours like slaves in the labor of calculation which could be relegated to anyone else if machines were used.
There is no royal road to geometry.
A point is that which has no part.
The whole is greater than the part.
Things which are equal to the same thing are also equal to one another.
A line is breadthless length.
Things which coincide with one another are equal to one another.
Which was to be proved.
