309155
[Commentary:
This page contains symbolic versions of Euclid's .
If a straight line is cut into equal and unequal segments, then the sum of the squares on the unequal segments of the whole is double the sum of the square on the half and the square on the straight line between the points of section.
If a straight line is bisected, and a straight line is added to it in a straight line, then the square on the hole with the added straight line and the square on the added straight line both together are double the sum of the square on the half and the square described on the straight line made up of the half and the added straight line as on one straight line. ]
If a straight line is cut into equal and unequal segments, then the sum of the squares on the unequal segments of the whole is double the sum of the square on the half and the square on the straight line between the points of section.
If a straight line is bisected, and a straight line is added to it in a straight line, then the square on the hole with the added straight line and the square on the added straight line both together are double the sum of the square on the half and the square described on the straight line made up of the half and the added straight line as on one straight line. ]
b) propositiones 2i
[Translation: Propositions from the second book of ]
[Translation: Propositions from the second book of ]