Things which are equal to the same thing are also equal to one another.
EUCLIDThings which are equal to the same thing are also equal to one another.
EUCLIDSire, there is no royal road to geometry.
EUCLIDIf produced indefinitely, meet on that side on which the angles are less than two right angles.
EUCLIDThat, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines.
EUCLIDThe laws of nature are but the mathematical thoughts of God.
EUCLIDGive him threepence, since he must make a gain out of what he learns.
EUCLIDA line is length without breadth.
EUCLIDIn right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.
EUCLIDAnd the whole is greater than the part.
EUCLIDA prime number is one (which is) measured by a unit alone.
EUCLIDBetter balance, less pain and less restless leg syndrome.
EUCLID