Euclid — "If a straight line be cut in extreme and mean ratio, the greater segment is also…"
If a straight line be cut in extreme and mean ratio, the greater segment is also cut in extreme and mean ratio by the lesser segment.
If a straight line be cut in extreme and mean ratio, the greater segment is also cut in extreme and mean ratio by the lesser segment.
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"To inscribe a regular hexagon in a given circle."
"When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular …"
"A straight line is that which lies evenly between its extreme points."
"Let it be granted that a circle may be described with any center and any radius."
"The only purpose of the 'Elements' is to demonstrate mathematically certain fundamental propositions."
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