Page:The Construction of the Wonderful Canon of Logarithms.djvu/182

From Wikisource
Jump to navigation Jump to search
This page has been proofread, but needs to be validated.

158 APPENDIX.

Coloniæ|Sumptib. M. Guttij, tipys|G. Rungij descripta.|CIƆ IƆC XXV.|

[The above is engraved on a half-open door, forming the centre of a title-page elaborately engraved by Petrus Rollos.]

4°. Size 7 5/8 x 5 3/4 inches.):( 11, Title.):( 12, blank.):( 21– ):( 42, 6 pages, Dedication to Dn. Georgio Wilhelmo Marchioni Brandenburgico, dated 1624. A11–Ll42, pp. 1–272. Trigonometria, in three books. Liber I., “De Triangulis, eorumg. affectionibus.” ; Sectio Prior, “De Triangulis Planis.”; Sectio Posterior, “De Triangulis Spharicis.” . Liber II., “De Constructione Canonis Triangulorum; ejusg. usu in genere.”; Sectio I., “De Constructione Canonis Sinuum.”; Sectio II., “De Constructione Tabule Logarithmorum.” ; Sectio III., “De usu Canonis Logarithmorum in genere.” . Liber III., “De Usu Canonis Logarithmorum in utrag. Trigonometriâ.”; Sectio I., “De Mensuratione Triangulorum Planorum sive Rectilineorum.” ; Sectio II., “De Trigonometria Sphericorum.”

Signatures. ):( and A to Z and Aa to Ll in fours = 140 leaves.

Paging. 8 + 272 numbered = 280 pages.

Benjaminis Ursini|Sprottavi Silesi| Mathematici Electoralis Brandenburgici|Magnvs Canon|Triangulorum|Logarithmicvs;|Ex Voto & Consilio|Illustr. Neperi, p. m.|novissimo,|Et Sinu toto 100000000. ad scrupulor,|secundor. decadas|usq’.|Vigili studio & pertinaci industriâ|diductus.|

Keppler. Harmonic. Lib. iv. cap, vii. p. 168.—[followed by extract of 8 lines.]

Coloniæ,|Typis Georgij Rungij, impensis & sumtibus Martini Guttij|Bibliopolæ, Anno M. DC. XXIV.|

A11, Title.A12, blank.A21–Lll2, The Table occupying 450 pages. Lll31, “Emendanda in Canone,” 35 lines.On Lll32 is printed “Berolini,|Excudebat Georgius Rungius Typographus,|impensis & sumtibus Martini Guttij|Bibliopolæ Coloniensis.| Anno clɔ Icɔ xxiv.|”.Lll4, blank.

Signatures. A to Z and Aa to Zz and Aaa to Lll in fours = 228 leaves.

Paging. 2 + 450 + 4 = 456 pages not numbered.

Colonia, the place of publication, is Köln a. d. Spree or Berlin.

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 references in the text are to the Lyons edition of 1620 (see p. 178).

The Magnus Canon contains the logarithms of sines for every 10″ in the quadrant. They are arranged in a similar way, and are of the same kind as those in Napier’s Canon of 1614; but are carried one place

further,