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The art of dialling
performed geometrically, by scale and compasses: arithmetically, by the canons of sines and tangents: instrumentally, by a trigonal instrument, accommodated with lines for that purpose; the geometrical part whereof is performed by projecting of the sphere in plano, upon the plain it self, whereby not only the making, but the reason also of dials is discovered. The second edition diligently corrected and enlarged, with a second way of geometrical dialling, very easie, plain, and universal. By William Leybourn, philomath -
Decimal arithmetick
wherein the whole art is made easy to any indifferent capacity. By notation, addition, substraction, multiplication, and division. With several variations. Also, reduction, with the golden rule, or rule of three, shewing several wayes of measuring circles, globes, balls or cylinders, &c. and to find the solid content of any butt, pipe or cask cones and their frustums, with several waies of measuring taper timber. To which is added the description of a very easy instrument for the taking of any heights or distances without geometry or trigonometry, scale compasses or line of cords, only counting the divisions of the instrument, with the explanation of the multiplication of decimal or vulgar fractions, the rules of practise in decimals and so plain a way of extracting the square root almost as easy division. Also an essay to gunnery, shewing several waies of finding any inaccessible distance of altitude, within common sight, with very many things never before made publick, of which you m -
An appendix to my essay to gunnery
Or, distances and heights may be found accessable or inaccessable one mile two or three without the help of geometrical protraction. Arithmetical or trghonometrical calculation. By a small instrument in the form of a two foot joynt rule, with a slider and sights, fitted to any mean capacity, that knoweth little of either writing or reading. And for those that are more learned, there is a secter line of cords to 180 degrees, by which all angles may be taken, either for distances of surveying, and a tangent line for altitudes, shewing more at large the multiplying of fractions and the rules of practise in decimals, with the way of extracting the square root. Invented, published, and the use thereof taught by William Walgrave dwelling at the two White Posts in Newton street near little Queen street in St. Giles's in the Fields. The instrument is made and sold, and the book shewing the use thereof, by Mr. Walter Hayes near the Popes Head Tavern in Morefields, London