Logarithmologia or the whole doctrine of logarithms, common and logistical, in theory and practice. In three parts. Part I. The theory of logarithms; Shewing their Nature, Origin, Construction, and Properties, demonstrated in various Methods, viz. 1. By Plain Arithmetic. 2. By the Logarithmic Curve. 3. By Dr. Halley's Infinite Series. 4. By Fluxions. 5. By the Properties of the Hyperbola. 6. By the Equiangular Spiral. 7. By a Logarithmic inspectional Scale of twenty-two Inches length. With the Construction of the artificial Lines of Numbers, Sines, and Tangents. Also the Nature and Construction of Logistical Logarithms. The whole illustrated and made easy by many and suitable Examples. Part II. The praxis of logarithms; Wherein all the Rules and Operations of Logarithmical Arithmetic, both Common and Logistical, by Numbers and Instruments, are copiously exemplified. Together with the Application thereof to the several Branches of Mathematical Learning. Part III. A three-fold canon of logarithms; In a new and more compendious Method than any extant; Viz. 1. A Canon of Logarithms of Natural Numbers. 2. A Canon of Logarithms of Sines and Tangents. 3. A Table of Logistical Logarithms. The whole being a Compleat System of this most useful Art; and enrich'd with all the Improvements therein from its Original to the Present Time. By Benjamin Martin, Author of the Philological Library of Literary Arts and Sciences, &c