Ortsbogen theorem

In geometry, for any line segment AB and angle θ < π, the locus of points C on one side of line AB such that angle ACB equals θ is an arc of a circle. Points outside this arc form sharper angles than θ, while points within this arc form wider angles.^[1]

In the Swiss school curriculum this arc is known as an "Ortsbogen" and the theorem that the locus has this shape is known as the Ortsbogen theorem.^{[citation needed]}

References

1. ^ Euclid's Elements, book III, theorem 21.

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