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secondarily applied to the relations of external objects in regard to one another. Thus, we come to assign to two points which lie at different distances along the line of orientation a direction and distance in relation to each other. All such ideas of spacial distance referring to various positions along the line of orientation, when taken together, are called ideas of depth, or when they are also ideas of particular single objects ideas of three dimensions. 29. An idea of depth arising in the way described varies according to objective and subjective conditions. The determination of the absolute distance of an isolated point in the field of vision, is always very uncertain. Even, the determination of the relative distance between two points a and b lying at different depths is generally certain only under the condition assumed above, that they are connected by a line along which the points of fixation for the two eyes can move in changing the convergence from a to b. We may call such lines which connect different points in space with one another lines of fixation. The principle may then be formulated: points in space are apprehended in their true relations only when they are connected by lines of fixation, along which the point of fixation may move. This principle is explicable on the ground that the condition of a regularly connected change in the local signs of the retina and in the accompanying sensations of convergence, that is, the condition for the rise of ideas of depth as we found before (p. 133), is obviously fulfilled only when impressions are presented which can arouse the appropriate local signs. 30. When the condition mentioned is not fulfilled, there arises either an imperfect and indefinite idea of the different relative distances of the two points from the subject, or else [p. 136] the two points seem to the equally distant -- a phenomenon which can appear only when one of the points is rigidly fixated. Under the latter condition still another charge, always arises in the idea; only the fixated point is seen as single, the other as double. The same thing happens while looking at objects when they are not connected with the binocular fixation-point by means of lines of fixation. Double images that arise in this way are uncrossed -- i.e., the right belongs to the right eye, the left to the left eye -- when the crossed fixated point is nearer than the observed object and crossed when the point is beyond the object. Binocular localization in depth and binocular double images are, accordingly, phenomena directly interrelated; where the former is indefinite and imperfect, we have double images, and where, on the other hand, the latter are absent, the, localization in depth is definite and exact. The two phenomena stand in such a relation to the line of fixation that, when it is present, localization is aided and double images removed. Still, this rule is not Get any book for free on: www.Abika.com OUTLINES OF PSYCHOLOGY 81 without exception, for when a point is ridgidly fixated with both eyes, double images arise easily in spite of any lines of fixation that may be present. This is explained by the necessary conditions, for both of depth as mentioned above (p. 133). Just as the absence of lines of fixation results in the lack of the required succession of the local signs, so in a sigular manner the sensations of conference connected with movement, are absent in rigid fixation. c. Relations between the Location of the Elements in regard to one another and the Location in Regard to the Subject. 31. When the field of vision is thought of as merely a location of impressions in relation to one another, we represent it to ourselves is a surface, and call the single ob- [p. 137] jects lying in this surface ideas of two dimensions, in contrast to the ideas of depth. But even an idea of two dimensions must always be related to the seeing subject in two ways. First, every point in the field of vision is seen ill a particular direction on the subjective line of orientation mentioned above (p. 131). Secondly, the whole field of vision is localized at some distance or other from the subject, though this distance may be very indefinite. The location in a particular direction results in an erect ideational object corresponding to an inverted retinal image. This relation between the objective localization in direction and the retinal image is as necessary a result of ocular movements as the inversion of the image itself is a result of the optical properties of the eye. Our line of orientation in space is the external line of regard or, for binocular vision, the middle line resulting from the combined effects of movements of fixation. A direction upward on this line of orientation in external space corresponds to a direction downward in the space where the retinal image lies, behind the centre of ocular rotation, and vice versa. It follows that the retinal image must be inverted if we are to see the object erect. 32. The location at some distance or other, which is also never absent, brings about the
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