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Euclid Quotes

Things which are equal to the same thing are also equal to one another.

Euclid (1956). “The Thirteen Books of Euclid's Elements”, p.222, Courier Corporation

And the whole is greater than the part.

"Euclid's Elements, Book I, Common Notion 8". Book by Euclid,

Sire, there is no royal road to geometry.

Quoted in Proclus, Commentary on the First Book of Euclid's Elementa

A line is length without breadth.

'Elementa' bk. 1, definition 2

Give him threepence, since he must make a gain out of what he learns.

Euclid (1956). “The Thirteen Books of Euclid's Elements”, p.3, Courier Corporation

In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.

Euclid, Phillips (1826). “Elements of Geometry, Containing the First Six Books of Euclid”, p.41

A prime number is one (which is) measured by a unit alone.

"Euclid's Elements, Book 7, Definition 11". Book by Euclid,