John Napier

“ The Tables of Kepler and Napier are differently arranged, and the numbers for which the logarithms are given are also different. In Napier’s Canon the numbers in column “Sinus” are the values of sines of equidifferent arcs, while in this table the numbers or sines are equidifferent. ”

“ I. p. 1. At the beginning of the same volume is reprinted the Introduction to Hutton’s Mathematical Tables, on p. liii of which will be found a “brief translation of both parts, omitting only the demonstrations of the propositions, and some rather long illustrations of them.” The logarithms in the Table are of the same kind as Napier’s, but they are not affected by the mistake in the computation of the Canon of 1614. ”

“ The second and third books of the Trigonometria deal with the subjects treated of in Napier’s Descriptio and Constructio, these works being largely made use of by Ursinus, who speaks of Napier as a Mathematician without equal (see p. 131, l. 5) . ”

“ The first part of the work contains Kepler’s demonstration of the structure of logarithms, which is in form geometrical, some of the
German mathematicians, as he mentions in his Preface, not being satisfied with Napier’s demonstration based on Arithmetical and Geometrical motion. The two parts together with the Table are reprinted in ‘Scriptores Logarithmici,’ vol. ”

“ This tract is written in the form of a dialogue, wherein Rollock is made the scholar and Napier the master: see Memoirs, p. 175.
Libraries. Brit. Mus. Lon.; Bodl. Oxf.;
The bloody Almanack :|To which England is directed, to foreknow what shall|come to passe, by that famous Astrologer, M. John Booker.|Being a perfect Abstract of the Prophecies proved out of Scripture,|By the noble Napier, Lord of Marchistoun in Scotland.|
London| Printed for Anthony Vincent, and are to be sold in the Old-Baily. ”

“ Taking as an example the first entry in the specimen page, the number in column 2 which is 4,850,000 represents the ratio 4,850,000 to 10,000,000 or a 4840000/10000000th = a 485/1000th part of radius. ”

“ Similarly column 1 gives the arc, in degrees, minutes, and seconds, corresponding to a sine equal to the 485/1000th part of the radius, with interscript differences;
Column 3 gives in hours, minutes, and seconds the 485/1000th part of a day of 24 hours; and finally
Column 5 gives in minutes and seconds the 485/1000th part of a degree of 60 minutes.
Libraries. Sig. Ed.; Un. Gl.; Hunt. Mus. GI.; Bodl. Oxf.; Trin. Col. Dub.;
Tabvle Rudolphine. ... Ioannes Keplerus. ...
Ulmæ. Jonæ Saurii, Anno M.DC.XXVII.
Folio. Size 13 3/4 × 9 inches.
The logarithms used in this work are those of Napier. ”

“ V. “Wie man mit hülffe des Blätichen Pro Cubica, vnd der Stäbichen einer jedern Zahl radicem cubicam erfinden solle.”C42, “Der Leser wisse, wo er der mühe die Stäbichen auffzutragen, wil vberhaben sein: das solche zierlich in einem subtilen Kästichen, aller notturff nach zugerichtet zubekommen sein. ”

“ Cas. Ferdinandi II. | Mathematici | Chilias | Logarithmorum | Ad Totidem Numeros | Rotundos, | Przmissâ | Demonstratione Legitima | Ortus Logarithmorum eorumq. usus | Quibus | Nova Traditur Arithmetica, Seu | Compendium, quo post numerorum notitiam|nullum nec admirabilius, nec utilius solvendi pleraq. Problemata|Calculatoria, præsertim in Doctrina Triangulorum, citra| Multiplicationis, Divisionis Radicumq’. ”

“ B32, 11 pages, Dedication to Kurfürst Georg Wilhelm Markgraf von Brandenburg, signed “Datum Liechtenhagen den 15 Octobris des 1621. Jahres......E. Churf. Durchl. Gehorsamer Vnterthan Johannes Woltherus Pfarrherr daselbst.”On B32 is the title of the German translation of ‘A plaine discovery,’ printed at Frankfurt in 1615.B41–Nn32, pp. 1–272, The work itself [see note] .On Nn41 is printed “Gedruckt vu Rostock|durch Moritz Sachsen,|Im Jahr Christi|1623.|” Nn42, blank. ”

“ London;|Printed for G. Sawbridge, and are to be sold|at his House on Clerkenwell-Green, 1667.|
12°, Size 42 × 23 inches.A1, blank?A21, Title-page.A62, blank. A31–A61, 7 pages, “The Argument To The Reader.”A62, blank. After A62 on a folding sheet is a diagram of the rods. B12–E72, pp. 1–86, The Work. E81, “Errata.” E82–E92, 3 pages, Advertisements.E101–E122, 6 pages, blank? ”

“ Size 8 x 64 inches. A11, Title.A12, blank.Folding sheet with “***Ad Postul 2. Exemplum Sectionis⃜,”,A21, p. 3, Dedication by Kepler to Philip Landgrave of Hesse.A22–F31, pp. 4–45, “Demonstratio Struvctvræ Logarithmorvm.” in 30 propositions. ”