“A perfect number is that which is equal to the sum of its own parts.” (Euclid, “Elements”, cca. 300 BC)
"A prime number is one" (which is) measured by a unit alone." (Euclid, "Elements" Book VII, cca. 300 BC)
"A finite straight line can be extended indefinitely to make an infinitely long straight line." (Euclid’s postulate)
"Circles are to one another as the squares on their diameters." (Euclid, "Elemets", cca. 300 BC)
"Given a straight line and any point off to the side of it, there is, through that point, one and only one line that is parallel to the given line." (Euclid’s postulate)
"If as many numbers as we please beginning from a unit be set out continuously in double proportion, until the sum of all becomes a prime, and if the sum multiplied into the last make some number, the product will be perfect." (Euclid, "Elements", cca 300 BC)
"Magnitudes are said to be in the same ratio, the first to the second and the third to the fourth, when, if any equimultiples whatever be taken of the first and third, and any equimultiples whatever of the second and fourth, the former equimultiples alike exceed, are alike equal to, or alike fall short of the latter equimultiples respectively taken in corresponding order." (Euclid of Alexandria)
"Numbers prime to one another are those which are measured by a unit alone as a common measure." (Euclid, "Elements" Book VII, cca 300 BC)
"The laws of nature are but the mathematical thoughts of God." (Euclid)
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