Most of the classic mathematical instruments familiar in brass, ivory, and other solid materials – such as astrolabes, sundials, quadrants, nocturnals – as well as a variety of scales, volvelles, and the like, can also be found made of paper. There is nothing modern about the cut-out or make-it-yourself instrument – three or four hundred years ago paper instruments were more common than the impression given by our museum displays and catalogues. Their lower survival rate is only part of the reason. It is also because, where they do survive, it is often in books, among manuscripts, or within collections of prints. The Museum thus has far more paper instruments than at first appears from its database of objects.
Sometimes they may be hard to distinguish from mere illustrations, and indeed serve both functions. Apian’s Instrumentbuch (1533) illustrates the various dials and quadrants he describes, but customers could also buy from him the same woodcuts printed on separate sheets, to cut out, mount on wood perhaps, and use as real instruments. Some instruments found in books are meant to be used in situ, such as the volvelles and other illustrations with moving parts that were a popular feature of astronomical books and manuscripts. Apian’s Astronomicum Caesareum is the most spectacular example.
It was not uncommon for a book about, for instance, the astrolabe, to contain a large plate that is not an illustration but the instrument itself. A good example in the Museum’s collection is the astrolabe by Krabbe (1583), because it exists in both forms. In addition to the example that has been cut out and mounted on wood and survives as an independent instrument in the collection (44745 ), there is another in its original form, a folded paper print bound in Krabbe’s book. The best of the paper astrolabes is that accompanying the 1535 edition of Stoeffler’s famous astrolabe manual, three sheets providing the front, back, and rete, all beautifully hand-coloured, which survive intact in the Museum’s copy of the book.
The tradition dates from early times in manuscript (using paper, parchment or vellum). The Museum has for instance a paper and parchment hand-drawn astrolabe dated 1492 (91897 ). Printing did not eclipse the tradition, nor the educational value, of designing or making one’s own instrument on paper; and students and enthusiasts for geometrical studies were still making their own in the 18th century. The Lewis Evans collection of ‘dialling’ manuscripts of the 16th to 18th centuries not only shows the continuing importance to geometry studies of learning how to design and make sundials and similar instruments, but preserves many examples of actual instruments achieved in ink and paper.
Printing however gave the most significant impetus to instruments made of paper. By allowing multiple copies to be made from one original copper printing plate or woodblock, it not only increased the dissemination of instruments, it greatly widened the market by reducing the price. Students who could never have afforded (or whose rich parents would not have trusted them with) an expensive brass instrument instead purchased paper instruments from Georg Hartmann in 16th-century Nuremberg (49296 ), or from John Prujean in 17th-century Oxford (48821  and 52008 ).
The earliest printed paper instruments are those designed by Regiomontanus, who set up a joint instrument workshop and printing press in Nuremberg in the 1470s, soon after the invention of printing. Four instruments occur in his astronomical calendars (the Museum has editions of 1476 and 1482, plus a greatly enlarged version issued by Stoeffler in 1518) which are both integral parts of the book and functioning instruments in their own right. Regiomontanus’s example was crucial, and his admirers in the next generation, like Stoeffler, Schoener, Hartmann, and Apian, took up the project in earnest. From the early 16th into the 19th centuries printed paper instruments of many different kinds participated in the dissemination of scientific education and ability that characterised the ‘scientific revolution’ and ‘enlightenment’.
Some instruments, such as quadrants and cylinder sundials, were routinely made of printed paper, as of course were compass cards. Henry Sutton was one of the highly skilled 17th-century instrument makers whose trade included accurately engraved paper instruments (25257  and 60120 ). The tradition was continued in the following centuries by scientific teachers and popularisers such as James Ferguson (14117 , 14163 , and 33394 ) and Revd Lewis Evans.