Spherical Trigonometry, for the Use of Colleges and Schools

Chapters

1. Great and Small Circles 5 excerpts, 5 equations, 0 problems
2. Spherical Triangles 6 excerpts, 3 equations, 0 problems
3. Spherical Geometry 6 excerpts, 11 equations, 0 problems
4. Relations between the Trigonometrical Functions of the Sides and the Angles of a Spherical Triangle 5 excerpts, 26 equations, 18 problems
5. Solution of Right-angled Triangles 8 excerpts, 25 equations, 19 problems
6. Solution of Oblique-Angled Triangles 6 excerpts, 42 equations, 12 problems
7. Circumscribed and Inscribed Circles 6 excerpts, 28 equations, 10 problems
8. Area of a Spherical Triangle. Spherical Excess 6 excerpts, 13 equations, 16 problems
9. On certain approximate Formul\ae 7 excerpts, 24 equations, 12 problems
10. Geodetical Operations 11 excerpts, 15 equations, 0 problems
11. On small variations in the parts of a Spherical Triangle 5 excerpts, 26 equations, 6 problems
12. On the connexion of Formul\ae\ in Plane and Spherical Trigonometry 15 excerpts, 31 equations, 12 problems
13. Polyhedrons 8 excerpts, 29 equations, 16 problems
14. Arcs drawn to fixed points on the Surface of a Sphere 4 excerpts, 16 equations, 0 problems
15. Miscellaneous Propositions 10 excerpts, 51 equations, 20 problems
16. Numerical Solution of Spherical Triangles 8 excerpts, 19 equations, 8 problems

Index of terms 171 terms, by chapter

Related books

The books the concept graph relates to this one, most shared terms first.

• Solid Geometry with Problems and Applications 1919
  52 shared terms

  axis of a circle on a sphere, circle, cosine, diameter, dodecahedron, edge, face, great circle, hexahedron, icosahedron, isosceles spherical triangle, locus, lune, octahedron, parallelepiped, perpendicular, plane angle, polar triangle, pole of a circle, polyhedral angle, polyhedron, polyhedron inscribed in a sphere, quadrant, regular polyhedron, right spherical triangle, sine, small circle, sphere, sphere inscribed in a polyhedron, spherical angle, spherical distance, spherical polygon, spherical triangle, surface of a polyhedron, tangent function, tetrahedron, vertex, Adrien Marie Legendre, radius, spherical excess, volume, angles opposite equal sides of a spherical triangle are equal, area of a sphere, area of a spherical polygon, area of a spherical triangle, plane section of a sphere is a circle, points of a circle on a sphere are equidistant from its pole, polar triangle relation is symmetric, spherical angle measured by arc of great circle, sum of angles of a spherical triangle lies between two and six right angles, sum of two sides of a spherical triangle exceeds the third, volume of a parallelepiped

• Elements of Plane Trigonometry 1863
  27 shared terms

  ambiguous case, base line, circular measure, cosine, cotangent, excircle, geodesy, horizontal angle, inclination of two lines, inscribed circle, logarithm, sine, station, supplementary angles, tangent function, triangle, solving a right-angled triangle, solving a triangle, solving a triangle from its three sides, solving a triangle from two sides and the included angle, Euclid, John Napier, radius, semi-perimeter, law of sines, degree of angle, radian

• Plane Geometry 1899
  24 shared terms

  ambiguous case, approximation, area, chord, circle, circumscribed circle, diagonal, diameter, equilateral triangle, escribed circle, hypotenuse, inscribed circle, locus, perpendicular, plane angle, polygon, quadrant, re-entrant angle, side, symmetry, triangle, radius, sum of the angles of a triangle, degree of angle

• A Course of Pure Mathematics 1921
  20 shared terms

  approximation, area, chord, circle, circular measure, circumscribed circle, cosine, cotangent, equilateral triangle, hypotenuse, locus, logarithm, rotation, sine, sphere, tangent function, triangle, Augustin-Louis Cauchy, Euclid, John Napier

• Mathematical Recreations and Essays 1905
  19 shared terms

  approximation, area, circle, diagonal, edge, face, great circle, logarithm, sine, sphere, spherical trigonometry, tangent function, temperature, Adrien Marie Legendre, Augustin-Louis Cauchy, Euclid, Leonhard Euler, force, volume

• Elementary Illustrations of the Differential and Integral Calculus 1899
  18 shared terms

  approximation, area, chord, circle, cosine, diagonal, hypotenuse, logarithm, perpendicular, polygon, sine, tangent function, neglecting higher-order small quantities, verification, Leonhard Euler, force, radius, degree of angle

• Vector Analysis and Quaternions 1906
  14 shared terms

  area, cosine, parallelepiped, polygon, quadrant, rotation, sine, spherical triangle, spherical trigonometry, tetrahedron, force, volume, volume of a parallelepiped, radian

• An Introduction to Mathematics 1911
  13 shared terms

  approximation, circle, cosine, locus, plane trigonometry, quadrant, sine, triangle, triangulation, force, radius, volume, sum of the angles of a triangle

• Calculus Made Easy 1914
  12 shared terms

  approximation, area, cosine, cotangent, logarithm, sine, tangent function, neglecting higher-order small quantities, John Napier, force, degree of angle, radian

• Treatise on Thermodynamics 1903
  5 shared terms

  mechanical equilibrium, plane triangle, temperature, Leonhard Euler, volume

• First Course in the Theory of Equations 1922
  4 shared terms

  circle, Augustin-Louis Cauchy, Leonhard Euler, radian

• An Elementary Treatise on Electricity 1888
  3 shared terms

  sphere, temperature, force

• The First Steps in Algebra 1894
  1 shared term

  verification

Errata (0)

None recorded yet.