I don't know anything about the Weltwinkel, but the 183 f/18 Protar V has a circle of illumination of about 460mm. To use that all of that coverage you will have to stop way down, to f/45 or f/64.
Wide Angle Aristostigmat
This trade name was used for many years and probably represents a series of related designs, all of them
Gauss 4-glass and all wide angles but varying in aperture and angle covered as the years went by.
Wide Angle Aristostigmat f6.0 In 1909, this was a Gauss design. It was also made as an f6.3. It was rated
for 105° with stops to f36. It is a slight puzzle why it seems to have been replaced first by an f9 version, and
much later by an f6,3- possibly the f9 gave better correction initially and then new glass and design allowed a
return to near the original aperture.
Wide Angle Aristostigmat f9.0 3.125-10.75in A Gauss design, Mey018. It covers 100°; and it is suggested
to use 7.0in for 10x8in. This was quite an old design being 'new' in B.J.A. 1926, p315 in 3.125-10.75in , where
4.75in was used for 7x5in and 5.25in for 8.5x6.5in, and gave really wide coverage, possibly wider than the
f6.3. It was seen at Nos 209,58x, 226,66x, 484,17x, 484,17x, 484,73x, so it was made over a long period
from perhaps 1925 to 1950 (below). (in line with this, it was not noted in a 1914 BJA advert.) It must have
been used on many cameras, but one example noted at auction was a f9/80mm lens on a 1/4plate
Sanderson. These coverages are from B.J.A. 1935, p576 (and longest ones 1928, p667) and it must have
been being phased out in favour of the f6.3 version about 1935. Applications were:
3.5in 4.75x3.5in at full aperture.
4in 6x4in
4.75in 7x5in
5.25in 8.5x6.5in
6.25in 9x7in