The confusion arising over judgements of the sizes of angular forms is described. Three experiments are reported. In the first, the apparent-sizes of acute and obtuse angles are estimated. In the second, judgements of the sizes assumed by upward- and downward- and left- and right-facing angles are compared. The third experiment is concerned with tactile reproduction of angles of specified sizes. In discussion an attempt is made to clarify the logical and empirical problems involved.
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References
1.
FickA. (1851). De errore quodam optico asymmetria bulbi effectoMarburg: J. A. Koch.
2.
FisherG. H. (1966). A tactile Poggendorff illusion. Nature, Lond.212, 105–6.
3.
GuilfordJ. P.DallenbachK. M. (1928). A study of the autokinetic sensation. Am. J. Psychol.40, 83–91.
4.
von HelmholtzH. (1962). Handbuch der physiologischen Optik, III. Helmholtz's Treatise on Physiological OpticsSouthallJ. P. C.New York: Dover Publications.
5.
HeringE. (1861). Beiträge zur Physiologie, ILeipzig: W. Engelmann.
6.
JastrowJ. (1892). On the judgement of angles and positions of lines. Am. J. Psychol.5, 214–48.
7.
JuddC. H. (1889). A study of geometrical illusions. Psychol. Rev.6, 241–61.
8.
LaddG. T.WoodworthR. S. (1911). Elements of Physiological PsychologyNew York: Scribner's.
9.
LuckieshM. (1922). Visual Illusions: Their Causes, Characteristics and ApplicationsNew York: Van Nostrand.
10.
OverR. (1966). A comparison of haptic and visual judgements of some illusions. Am. J. Psychol.79, 590–5.
11.
PonzoM. (1912). Rapports de contraste angulaire et l'appréciation de grandeur des astres à l'horizon. Arch. Ital. d. Biol.58, 327–9.
12.
PrattM. B. (1926). The visual estimation of angles. J. exp. Psychol.9, 132–40.
13.
PritchardR. M. (1958). Visual illusions viewed as stabilized retinal images. Q. J. exp. Psychol.10, 77–81.
14.
RévészG. (1934). System der optischen und haptischen Raumtäuschungen. Z. Psychol.13, 296–375.
15.
RobertsonA. (1902). Studies from the psychological laboratory of the University of California: VI ‘Geometrico-optical’ illusions in touch. Psychol. Rev.9, 549–69.
16.
SamantaM. N. (1928). Visual estimation of angles. Indian J. Psychol.3, 185–8.
17.
ScheplerH. (1968). The “eyes” have it. Spie Glass (Society for Photo-optical Instrumentation Engineers)4, 8.
18.
SchumannF. (1900). Beiträge zur Analyse der Gesichtswahrnehmungen. Z. Psychol.23, 1–32.
19.
WundtW. (1902). Beiträge zur Theorie der Sinneswahrnehmung. Outlines of PsychologyJuddC. H.Leipzig: W. Engelmann.
20.
ZöllnerF. (1860). über eine neue Art von Pseudoskopie und ihre Beziehungen zu den von Plateau und Oppel beschriebenen Bewegungsphänomenen. Ann. Phys. Chem.186, 500–20.
