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Q.E.D. [Quod erat demonstrandum: Which was to be proved.]
Things which are equal to the same thing are also equal to one another.
That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
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.
There is no royal road to geometry.
To Ptolemy I, when asked if there was a shorter road to learning geometry than through Euclid's Elements
A prime number is one which is measured by a unit alone.
The laws of nature are but the mathematical thoughts of God.
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A gentleman has his eyes on all those present; he is tender toward the bashful, gentle toward the distant, and merciful toward the absent.
Euclid, sometimes called Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "father of geometry". He was active in Alexandria during the reign of Ptolemy I.
A history of Greek mathematics
Mathematics in Aristotle
Diophantos Of Alexandria
Aristarchus of Samos, the Ancient Copernicus
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