A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so — Euclid, Euclid's Elements
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A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser.

— Euclid, Euclid's Elements
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euclid euclidean geometry geometry golden ratio history of mathematics mathematics science

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