may be solved by (almost) any of those Canons or Tables ; was the occasion of the omiflion of such Tables here at present. But chiefly, because there is intended (in some short time) to be Printed,) A CANON of Artificial Sines and TANGENTS, both Seragenary and Centecimal; differing from any yet Extant; it supplying both ways of Numeration at one view, and yet in the same Room: And to this CANON shall be Added Ten CHILIA DS of LOGARITHMS commodiously Contracted ; and the Use thereof in Logarithmical Arithmetick. Thus having given the Reader à General Account in this Preface, I refer him to a more Particular in the following Contents, and fo leave him to the Practice of them : In which I wish him good suceess; and till he hears farther from me, bid him Farewell. а 9 II 13 20 28 21 For T2, 52 19 5 14 16 17 30 I 17. 29 37 15 16 23 29 ib. 21 14. I ult 23 22 2 16 and 'T, Read 308 327 21 8 37 ult 32 2 8 328 5.50 de.. 330 BFE. Figures in the Margins Omitted, or Misplaced. Page 7.Against Probl.I. put Fig.VIII. and against Prob. II. put Fig.IX. in the Margir.. One Right Angle, and Two Achte. CON Part I. The K EY, And therein of D Efinitions. Practical Problems Theorems From Page i to Page 7 7 to 17 18 to 27 "DE FINITIONS 38.to 43 Part II. The GATE, Of TRIGONOMETRI. And therein of From Page 29 to Page 32 Sines, 2. Right-Lines applied Tangents, to a Circle, Secants, 32 to 38 (Their Construction 3. The Affections of Right-lined, or Plain Triangles 4. The Mensuration (or Solution) of Plain Triangles 43 to 50 5. SPHERICAL TRIÁNGLES, Definitions, Theorems, } soto 56 Aflections of Great Circles of the Sphere, in order to} 56 to 60 of 6. The Solution of Right-Angled Spherical Triangles bo to 68 7. Oblique-Angled Spherical Triangles, and Prenotions con cerning them 8. The Solution of them 9. Oblique Angled Spherical Triangles, Resolved without regard had to a Perpendicular 84 to 96 10. Tri. 68 to 70 70 to 83 1 10. Trigonometical Problems Extraordinary 96 to 105 1. Spherical Triangles Geometrically performed, ly Projecting 12. Spherical Trigonoinetry, Instrumentally Performed several T’uys : As, by the Part III. ANCILLA: Vel, Trigo- In Seven SECTIONS. · LTİMETRIA; Or the Taking of Heights, (as of 2. LONG IMETRIA; Or the Measuring of Distances: 4s of & ther Accessible, or Inaccesible 3. PL ANOMETRIA; Or the Measuring of Plains : As of Board, Glass, Pavements, Hangings, Wainscot, &c. 4. Geodæcia ; Or Measuring of Land- 5. STERÍOMETRIA; Or the Monjuration of Solids : As Timber, Stone, &c. And of Regulars : As Cubes, Globes, 03 And therein of fuch Circlis, Lincs and Points, as are defcribed thereol, or 161 to 167 2. COS. The Use of the Terrestrial Globe, and thereupon to find the Sitharti- 011 of Places both in Longitude and Latitude: And to find their SECT. IV. Of A STRONO Mr. And therein of 2. Astronomical Problems, relating to the Sun and Fixed Stars : To Work them upon the Globes ; Aoid by Trigonometrical Calcu- SECT. V. Of SCIOGGRAPHIA, or DIALLING. And therein of 1. DIALLING in General; with the Situation of all Plains on which Dials may be made : And to find out any such Situation. 2. The Making of all sorts of Dials, by finding out the places of Sub- stile, Stile and Hour-Distances, by the Globe: And also, to find the same Requisites, and Hour-Distances, by Trigonometrical Calculation, after a new Method 3. The Infcription of the Greater and Lesser Circles of the Sphere Parallels of Suns Course throughout the Zodiack, 296 to 303 SECT.. |