Tactometria. Seu, Tetagmenometria. Or, The geometry of regulars practically proposed after a new, most artificial, exact and expeditious manner (together with the natural or vulgar, by way of mensurall comparison) and in the solids, not only in respect of magnitude or dimension, but also of gravity of ponderosity, according to any metal assigned. ... And withall, the like artificial practical geometry of regular-like solids (as I term them) in both the foresaid respects: and moreover, of a cylindricall body, for liquid or vessell-measure (commonly called by the name of gauging) as is for solid measure; ... And lastly, an A-tactometrie, or an appendix, for the most ready and exact discovering of the dimensionall quantity of any irregular kind of body, ... A work very usefull and delightfull for all such as are either ingenuously studious of, or necessarily exercised and employed in the practice of the art metricall. By J.W.

SECT. I. Concerning the measuring or gauging of Vessells, in generall.

ANd vvhat hath be•••• here done for the solid Dimension of a Cylinder (or the dimension of a solid Cylin∣der) by artificiall Lines found out for the same, according to any Measure appointed: the like may be done for the liquid dimension of a concave Cylinder (or Cylindricall Vessell) for the more speedy finding out of the liquid Con∣tent, according to any Liquour and Measure given. As our Vessells for Wine and Ale, or Beer (which two, most

commonly come to be measured) and other liquid things, which though they be not absolute Cylinders in them∣selves, yet may be (and commonly are) conceived or sup∣posed as Cylinders, (being reduceable by Art thereunto) for the better measuring of the same, by finding out and taking the Meane between the Diameter at the Head, and the Bung of the Vessell (or otherwise the Meane between those two Circles) and so obtaining the liquid Content thereof; which is commonly called Gauging of Vessells; the Mea∣sure by which these Vessells are thus valued or estimated, being usually a Gallon, and which is the greatest of our li∣quid Measures, and but the beginning, as it were, of Ves∣sell-Measure; but in Wine, and Ale or Beere, holdeth not one and the same; but differeth very sensibly, as is common∣ly known: And therefore we will next briefly shew the measuring or gauging of these Cylindricall Vessells (or Spheroidall, as some will have it, this kind of Vessel being more commonly taken for a Sphaeroides, having the two ends equally cut off; though for mine own part, I con∣ceive this kind of Vessel may more properly be termed a Cylindroides, by the same reason that a Sphaeroides and Co∣noides are so called; this having the same similitude or re∣semblance to an exact Cylinder, that those have to an exact Spheare and Cone) by Lines of measure peculiarly appro∣priated and applied to them (as we did before in the Cy∣linder in general for solid measure) according to the dif∣ferent kind and quality of the Liquour, and so the different quantity or magnitude of the liquid Measure given, in re∣lation to solid Measure in inches.