Volume 1

Astronomy, in five books / by Roger Long.

  • Roger Long
Date:
1742-1764 [i.e. 1784]
Catalogue details

Licence: Public Domain Mark

Credit: Astronomy, in five books / by Roger Long. Source: Wellcome Collection.

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    THE C O N T INTRODUCTION, Definition of aftronomy, pag. i. of quantity, 2. magnitude, ib. A line, —ftrait, curve, infinite, 2. A point, 2. a line how defcribed, 3. A furface, — plane, curve, convex, concave, 3: how defcribed, ib. A figure, 3. the area of a figure, ib. An angle, —rectilinear, curvilinear, mixt 4: legs of an angle, vertex, angular point, ib. quantity of an angle, ib. right angle: perpen¬ dicular lines, ib. oblique angles, acute, ob- tufe, ib. A circle, 4; circumference, center, diameter, radius, ib. area, 5 ; arc, chord, tangent, ib. divifion into degrees, minutes, feconds &c, ib„ To meafure an angle, 5. how an arc in the hea¬ ven is meafured, 6. axioms, ib. confequent angles, 7. a circle meafures 4 right angles: a quadrant or quarter of a circle, ib. vertical angles equal, 8. parallel lines, ib. alternate angles equal, ib. The converfe of a propofition what, 8. A plane triangle, — right-angled, obtufe-angled, acute-angled, 9. the three angles of a triangle equal to two right angles, ib. Quadrilateral figures; trapezium, parallelogram, fquare, reCfangle, &c. 10. generation of a parallelogram, ib. menfuration of all kinds of plane figures, 11. a diagonal, 12. To find the area of a triangle, 12. A polygon, 12 : area of a polygon, ib. — of any irregular plane figure, ib. Of fquaring the circle, 12. A plane number, 14. a fquare number, fquare root, ib. Aliquot part, aliquant part, 15. Quantities commenfurable or rational, 15 ; in- co/nmenfurable, irrational or furd, ib. E N T S. Ratio, —of equality, of inequality, duple, tri¬ ple, &c 15. fubduple, lubtriple, &c 16. Proportion, — direCt, reciprocal, 16 : a mean proportional, ib. A power, fquare, cube, &c. 17. firft power or root, ib. duplicate ratio, triplicate, fefqui- plicate, ib. examples of proportion, ib. f Propofitions ufeful in making tables of lines, 20. Complement of an arc, 21. fupplement of an arc, ib. chord of an arc, ib. right fine, whole fine, verfed fine, fine of the complement, 22. tangent of an arc, ib. fecant of an arc, 23. .cofine, cotangent, cofecant, ib. A fpecimen of the table of fines, 24, 25: direc¬ tions for ufing it, 26. ■f Method of making a table of fines, &c, 27. An ufeful propofition in trigonometry, 30: ex¬ amples of its ufe, 31. | Logarithms, 34. A line perpendicular to a plane, 34. -r-inclined to a plane, 35. — parallel to a plane, ib. A point in a plane produced, 35.—elevated above a plane, ib. Planes parallel, perpendicular, inclined, 35. common fedtion of two planes, ib. Circles parallel, inclined, perpendicular, 36,. A folid or folid figure, 36. A fphere or globe, 37. fphere of the heaven, circles of the fphere, ib. formation of a fpheie, ib. diameter, radius, great circle, leis cir¬ cle, ib. a tangent to a fphere, ib. perpendi¬ cular to a fphere, 38. a fpherical triangle, ib. Terreftrial globe, 38. celeffial globe, ib. artifi¬ cial fphere, ib. Rotation of a fphere: axis, poles, 38. ftetion of a fphere, ib. hennfphere, 39. fegment of a fphere, ib. A pyramid, 39. its vertex, bafe, ib. A cone, 39. its vertex, bafe, axis, fides, ib. j-iffht cone, oblique cone, ib. innilar cones,40. * a
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