The Hockney-Falco theory claims that early Renaissance painters used concave mir

Question

The Hockney-Falco theory claims that early Renaissance painters used concave mirrors to aid their depth perception (e.g., Jan van Eyck's Portrait of Giovanni Arnolfini and His Wife; see figure A below). Reportedly, van Eyck traced the reflected image from his subjects according to the schematic shown in figure B.

The Hockney-Falco theory claims that early Renaissance painters used concave mirrors to aid their depth perception (e.g., Jan van Eyck's Portrait of Giovanni Arnolfini and His Wife; see figure A below). Reportedly, van Eyck traced the reflected image from his subjects according to the schematic shown in figure B. Calculate the diameter of the blown-glass sphere from which the reflective mirror was cut. (Assume a = 1.7 m and b = 0.71 m.) m Comment on the likelihood of such a theory. It is very likely that the capability existed to make a mirror with this large a diameter in van Eyck's day.It is not very likely that the capability existed to make a mirror with this large a diameter in van Eyck's day.

Explanation / Answer

1/a + 1/b = 2/R

R = 1 m

2) It is very likely that the capability existed to make a mirror with this large a diameter in van Eyck's day

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