Proposition Replicated
Proposition II.1
If there be two straight lines, and one of them be cut into any number of segments whatever, the rectangle contained by the two straight lines is equal to the rectangles contained by the uncut straight line and each of the segments.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:II.1
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (3)
- I.11Proposition I.11To draw a straight line at right angles to a given straight line from a given point on it.
- I.31Proposition I.31Through a given point to draw a straight line parallel to a given straight line.
- I.34Proposition I.34In parallelogrammic areas the opposite sides and angles are equal to one another, and the diameter bisects the areas.
Required by (dependents) (3)
- II.3Proposition II.3If a straight line be cut at random, the rectangle contained by the whole and one of the segments is equal to the…
- II.7Proposition II.7If a straight line be cut at random, the square on the whole and that on one of the segments both together are equal to…
- II.8Proposition II.8If a straight line be cut at random, four times the rectangle contained by the whole and one of the segments together…
Discussion
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