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The remarkable synergy and complementarity between the circular ${\rm e^+e^-}$ and pp colliders has been extensively discussed. In this short document,we investigate the complementarity between the proposed circular and linear${\rm e^+ e^-}$ colliders at the electroweak and TeV scale. Thiscomplementarity could be exploited on a world-wide scale, if both a largecircular and a linear infrastructures were available. A possible implementationof such a complementary program is shown.

Circular and Linear ${\rm e^+ e^-}$ Colliders: Another Story of Complementarity