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.

Title

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.

Author

Wybard, John.

Publication

London :: printed by Robert Leybourn, for Nathaniel Brooks, at the Angel in Cornhill,

M DC L. [1650]

Rights/Permissions

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Subject terms

Geometry -- Early works to 1800.

Link to this Item

https://name.umdl.umich.edu/A67191.0001.001 content_copy

Cite this Item

"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." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A67191.0001.001. University of Michigan Library Digital Collections. Accessed May 5, 2024. content_copy

Contents

• title page
• epigraph
• TO All that are wel-willers to the Ma∣thematiques, in generall: But more especially to the candid, impartiall, intelligent, and practicall Reader.
• THE Generall Contents of this Work, consisting (almost all) in measure alone.
• notice
• errata
  • ERRATA.
• Tactometria, Or the most Exquisite practicall Dimension of all Regular, and Regular-like Figures in generall.
  • And first, of the Circle, Spheare, Cylinder, and Cone, in speciall. PART. I.
    • SECT. I. Of the nature and division of the Lines of Measure in generall, for the performing of all the aforesaid Dimensions.
    • SECT. II.
      • PROP. 1.
      • PROP. 2. Of the solid dimension of a Spheare.
      • PROP. 3. Of the solid dimension of a Cylinder and Cone.
    • SECT. III. Of the Superficiall Dimension of a Cylinder and Cone.
    • SECT. IV. Shewing briefly, the theoricall reason of the differen∣ces happening between the naturall and artificiall Measure, in the superficiall and solid contents of Figures. And moreover, some obser∣vations concerning the grounds and reasons of the Artifi∣ciall Mensuration in generall.
  • printer's device
  • PART II. Containing the most artificial and expeditious practicall Dimension, of all right-lined ordinate or regular, and regular-like Figures in generall.
    • SECT. I. Proposing the foresaid Dimension in all right-lined regular Planes or Superficies in generall: And demonstrating the same particu∣larly in two of the first of them.
      • THEOREME I. Exhibiting particularly, the fore mentioned Lines, for the Quadrature of a Circle; from our particular or speci∣all grouna and reason before declared. And consequently, the Lines for the like dimension of all rectiine or angular ordinate Planes in generall.
        • The artificiall Dimension of Triangles in generall.
    • SECT. II. Setting forth the Dimension, both solid and super∣ficiall, of regular-based Pyramids in gene∣rall, and their Compounds: And de∣monstrating the same particularly in the three first kinds of them.
    • SECT. III. Exhibiting a more speciall and peculiar arti∣ficiall way of measuring both solidly and superficially, the four plain ordinate Bo∣dies, or rectiline regular Solids be∣fore handled, then was before; & this, after the most exquisite manner that may be. Toge∣ther with the like arti∣ficiall dimension of the other like regular Body, severall waies.
    • SECT. IV. Expressing the manifold Dimensions in the five plain ordinate, or regular Bodies, Arithmeti∣cally, by way of Proportion, in the most ex∣quisite manner that may be.
      • THEOR. II. Explicating particularly the foregoing artificiall Lines for the cubick dimension, (or Cubing) of a Sphear; from our particular or speciall Reason of Dimension: And con∣sequently, the Lines for the like dimension of all the other regular Solids.
    • SECT. V. Shewing the Dimension of all exactly ordinate, or regular solid Bodies, artificially, for Gravity or Weight, as is for solid Measure: And de∣monstrating the same particularly, in the first ordinate Solid here handled, namely a Sphear.
      • THEOR. III. Expressing particularly, the artificiall Lines for the solid dimension of a Cylinder, from our particular or special ground and reason formerly declared: And consequent∣ly, the Lines for the like dimension of a Cone, and all other regular-like Solids in generall.
  • PART III. Containing that kind of Dimensi∣on, or metricall practice, which is commonly called, the Gauging of Vessells; after a most artificiall, exact, and expeditionall manner.
    • SECT. I. Concerning the measuring or gauging of Vessells, in generall.
    • SECT. II. Setting forth the Quantities of the Wine and Ale-gallons, in reference to the gauging of Vessels.
    • SECT. III. Containing the practice of Gauging, according to our artificiall way of measuring: together with the naturall Dimension (by way of comparison) for a confirma∣tion of the same.
      • RULE I. How to find the meane or equated Diameter of any Vessell.
      • RULE II. How to find the Content of any Vessel in Gallons.
• A-TACTOMETRIA. OR An Appendix, for the dimension, (or the discovering of the solid quantity or capacity,) of any irregular kind of Body whatsoever; after the most ex∣quisite manner that may be.
  • THE CONCLUSION. For the more spèedy absolving or expediting of all the foregoing Dimensions in generall.