Index of Trigonometry files

The main Trigonometry page.  This is the Plane & Spherical Trigonometry and Synthetic Elementary Geometry textbook.

• Addendum in which we provide the formulae and derivations for spherical in-radius and circum-radius as well a the two versions of l'Huilier's formula.
• Astrolabe use and construction
• Basket winding of a coil of wire, thread, rope, etc.
• Binomial the Binomial theorem and Mathematical induction
• Circles Circum & in circles of a triangle.  Finding their centers and radii by means of synthetic vector analysis
• Circular Circular trigonometric functions
• Complex Complex square-root
• Ellipse picture a Picture of an ellipse
• Elliptical coordinates and the three other related coordinates.  The Jacobians for these and the spherical and cylindrical and related coordinates are computed, as well.
• Evaluation Evaluation of a power series
• Exponent the Exponential function
• Galois Fields 
• Gamma the Gamma function
• Hyperbola Hyperbolic trigonometric function
• Hyperbola construction -- a homework problem
• Hyperbola picture a Picture of a hyperbola
• Hyper spheres circumscribed and inscribed
• Interpolation Interpolation
• Julian Calendar
• Linear Algebra -- discussion   formal presentation
• Linear regression the one-dimensional special case
• Logarithms the Logarithmic function
• LRC a linear second-order ordinary differential-equation, with constant coefficients
• Natural to complex numbers  Algebra, including groups, rings, fields, vectors, and Galois fields GF(p^m)
• Navigation Navigation
• Newton Newton's method
• Perspective, stereoscopy, photogrammetry, and the stereographic projection (eye-point at the south-pole)
• Polynomial Polynomials (known as "theory of equations" in college algebra).
  • DesCarte's rule of signs
  • gauge transformation
  • synthetic division
  • translation
  • standard polynomial equation
  • Horner's method
• Problems
  • conical pendulum launcher, including a generalized range-equation
  • Newtonian collision of point-masses
• Progressions Progressions
  • arithmetic progression
  • geometric progression
  • interest
    • simple interest
    • compound interest
    • annuity
      • discounting
      • capitalization
      • loan
  • powers progressions
• Quartic algorithm presents the solution of a linear, quadratic, cubic, and quartic polynomial-equation
• Raphson the Raphson method
• Rational Algebraic Expression and its expansion into partial fractions
• RC a linear first-order ordinary differential-equation
• Spherical Cap, cone, and pyramid
  • Volume of Spherical Cone
• Square Square roots -- how to find them
  1. binary search
  2. binomial theorem
  3. Horner's method
  4. Raphson method
  5. Newton's method
  6. Taylor's series
  7. logarithm and exponential
• Squaring Algorithm for the roots of a monic polynomial, each of whose roots is known to be real.
• sum of m to the p, from 1 to n
• Synthetic Vector Analysis
• Taylor Taylor's series
• the 1 = ma + nb theorem -- the extended Euclid algorithm in an Euclidean domain
• Thesis
  • Astrolabium
• Trig02 Elementary-geometry trigonometry  this is the highest-level page
• Triple Cross-Product and distributive law of multiplication over addition of vector products
• Values Values of trigonometric functions for multiples of pi / 24

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Copyright (c) 1999, 2000-5, 9 by R. I. 'Scibor-Marchocki. last modified on Sunday 07-th June 2009.  Webmaster@rism.com