We introduce a unified framework for developing matching constraints of multiple affine views and rederive 2-view (affine epipolar geometry) and 3-view (affine image transfer) constraints within this framwork. With the insight into the particular structure of these multiple-view constraints, we first describe a new linear method for Euclidean motion and structure from 3 calibrated affine images. Compared with the existing linear method of Huang and Lee [6], the new method uses different and more appropriate constraints. It has no failure mode of the Euclidean factorisation method of Tomasi and Kanade [20]. We then describe how to integrate points and lines and establish some minimal point/line configurations for structure recovery. The method is demonstrated on real image sequences.