Logarithms

Inverse of the exponential function, which maps products to sums

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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.
Martin, Benjamin, 1705-1782.Date: MDCC.XXXX. [1740]
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Nvova prattica astrologica di fare le direttioni secondo la via rationale, e conforme ancora al fondamento del Kepplero per via di logaritmi. Con vna centuria di varii problemi, e con il compendio delle regole de triangoli / Di F. Bonaventvra Cavalieri.
Bonaventura CavalieriDate: 1639
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The surveyor's guide or, a new introduction to the whole art of surveying land, both by the chain and all instruments now in use. Now first Publish'd from an Original M. S. To which is Added, All the useful Geometrical Definitions, Axioms, Problems and Theorems, which relate to this Art. As also the Method of Casting up the Dimensions of Artificers Work. Very useful for all Gentlemen and Others. There is also added, by way of Appendix, a new Way of Surveying large Tracts of Land, according to the Learned Mr. Whiston's and Mr. Ditton's New Method of Surveying England by Explosions. The manner of making up and preparing Transparent Colours for Beautifying Maps, Charts, Pictures, &c. The Tables of Artificial Numbers, Sines and Tangents, to every Degree and Minute of the Quadrant. All which is very much Improved and Corrected. By Edward Laurence, Surveyor.
Laurence, Edward, d. 1740?.Date: 1736
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Practical navigation, or, An introduction to the whole art : containing the doctrine of plain and spherical triangles : plain, mercator, great-circle sailing, and astronomical problems : the use of divers instruments ... : sundry useful tables in navigation, and a table of 10,000 logarithms, and of the logarithm-sines, tangents, and secants / by John Seller.
John SellerDate: 1694
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A table of logarithms. For numbers increasing in their natural order, from an unit to 10000 with a table of artificial sines, tangents and secants, the radius 10,000000 / carefully corrected by Sam. Heynes.
Heynes, Sam. (Samuel)Date: 1701