The micrometer was important not only for the measurement of specimens: whilst there is a way to find the magnification power of lenses by measuring their dimensions, this was not practical for most natural philosophers in the 18th century,. The lenses themselves were not made to a high, and regular, enough standard to allow any generalisations to be made. Indeed, Martin lists the primary use of the micrometer as being:
"to determine the Magnifying Power of single and compound Microscopes." (2)
Martin stressed that merely observing Nature's minute curiosities did not pay due respect to their Creator; one had to attain "a knowledge of the amazing Gradations of diminishing Magnitude."(3) Following this, he gives a critique of earlier attempts at micrometry, which amounts to a brief history of the subject:
"it was long after the Invention of the Microscope, before a Word was Mentioned of a Micrometer; Power, Leeuwenhoek, Hooke, Swammerdam, Hugenius, Baker, and many others who have wrote largely on this Subject, are either wholly silent about it, or mention only Grains of Sands, Shreds of fine Wire, Lattices in Brass, &c." (4)
The "grains of sand" were Dutch microscopist Antoni van Leeuwenhoek's point of reference under the microscope. "Shreds of fine wire" was an ingenious method proposed by James Jurin in 1718 that involved winding silver wire around a pin until an inch had been covered, counting the number of coils and thus working out the wire's diameter; small sections would then be cut and scattered about the microscope stage for comparison with the specimen. The "lattice in brass" was developed by John Cuff to accompany his new design of microscope.
The competitive market
In criticising Cuff's approach, as well as his patron Henry Baker, Martin was responding both to competition in business and to the lack of recognition he had received in Baker's extremely popular book, The Microscope Made Easy (1742). The book describes one of Martin's methods - engraving divisions on a glass plate in the lens system - but Baker ignores the more successful screw system proposed in 1732, saying merely:
"There are some other Sorts of Micrometers, or Inventions for measuring the small Objects seen in Microscopes; but as they are more complex and difficult, I shall not swell this volume with them."(5)