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  1. Under Mnemonics). The reciprocals of these functions are named the cosecant (, csc , or COSEC),secant (sec),and cotangent (cot),respectively. The inverse
  2. C/3): CSC (C/3 + 2A/3): C-vertex = CSC (A/3 + 2B/3): CSC (B/3 + 2A/3):, csc , ( B/3 − A/3) A fifth equilateral triangle, also nomothetic to others, is
  3. 0: * C = 0: 0: 1: * in center = 1: 1: 1: * centroid bc: ca: ab 1/a: 1/b: 1/c =, csc , A: CSC B: CSC C.: * circumvented = cos A: cos B: cos C.: * orthocenter = sec A:
  4. Is the 1st isogenic center. Its bilinear coordinates are: CSC (A + π/3):, csc , ( B + π/3): CSC (C + π/3). Expressing these coordinates in terms of a, b and
  5. Csc (A/3 + 2C/3): CSC (A/3 − C/3): CSC (C/3 + 2A/3): C-vertex =, csc , ( A/3 + 2B/3): CSC (B/3 + 2A/3): CSC (B/3 − A/3) A fifth equilateral
  6. Center. Its bilinear coordinates are: CSC (A + π/3): CSC (B + π/3):, csc , ( C + π/3). Expressing these coordinates in terms of a, b and c, one can
  7. Coordinates for the second isogenic center, X (14):: CSC (A − π/3):, csc , ( B − π/3): CSC (C − π/3),or, equivalently,: sec (A + π/6): sec (B + π/6
  8. Point of concurrence is the 1st isogenic center. Its bilinear coordinates are:, csc , ( A + π/3): CSC (B + π/3): CSC (C + π/3). Expressing these coordinates in
  9. Steiner's point * Focus of the Keeper parabola = CSC (B − C): CSC (C − A):, csc , ( A − B). Other properties of the circumcise of a triangle The circumcise
  10. Inverse to the sine, and is called the cosecant. It is usually denoted, csc , x:: \CSC x (\sin x)^ \franc. \, \! Hyperbolic functions behave similarly, using
  11. As CSC. ) * COSEC – hyperbolic cosecant function. (Also written as CSC. ) *, csc , – cosecant function. (Also written as COSEC. ) * CSC – hyperbolic cosecant
  12. Antipode of the Steiner point * Focus of the Keeper parabola = CSC (B − C):, csc , ( C − A): CSC (A − B). Other properties of the circumcise of a triangle
  13. In bilinear coordinates as a−3: b−3: c−3,or, equivalently,by: CSC (A − ω):, csc , ( B − ω): CSC (C − ω),is the Bro card midpoint of the anticomplementary
  14. Three functions are best defined using the above three functions. The cosecant, csc , ( A),or COSEC (A),is the reciprocal of sin (A),i.e. the ratio of the
  15. Process. GIF|Graphing process of y = tan (x) using a unit circle. Image:, csc , drawing process. GIF|Graphing process of y = CSC (x) using a unit circle.
  16. Also written #X, ♯X or | X |. ) * COSEC – cosecant function. (Also written as, csc , ) * COSEC – hyperbolic cosecant function. (Also written as CSC. ) * CSC –
  17. 0: 1: * in center = 1: 1: 1: * centroid bc: ca: ab 1/a: 1/b: 1/c = CSC A: CSC B:, csc , C.: * circumvented = cos A: cos B: cos C.: * orthocenter = sec A: sec B: sec C.
  18. Is not the case in C#. The creation can be activated by compiler switches, like,CSC, /add module: Y. net module A. cs that yields a new A. exe with Y added to this
  19. Praise and Patrick Storm * http://www.uni-koblenz.de/~lb/lb_research/research., csc , HTML Color Image Segmentation * http://wbip.uni-koblenz.de Web based Image
  20. At X (13). * Bilinear coordinates for the first isogenic center, X (13)::, csc , ( A + π/3): CSC (B + π/3): CSC (C + π/3),or, equivalently,: sec (A − π/6
  21. Coordinates for the first isogenic center, X (13):: CSC (A + π/3):, csc , ( B + π/3): CSC (C + π/3),or, equivalently,: sec (A − π/6): sec (B − π/6
  22. As a−3: b−3: c−3,or, equivalently,by: CSC (A − ω): CSC (B − ω):, csc , ( C − ω),is the Bro card midpoint of the anticomplementary triangle and is
  23. Sin (a),cos (a) and tan (a),and their multiplicative inverses, csc , ( a),sec (a) and cot (a),for any nonzero algebraic number a (by the
  24. 2C/3): CSC (C/3 + 2B/3): B-vertex = CSC (A/3 + 2C/3): CSC (A/3 − C/3):, csc , ( C/3 + 2A/3): C-vertex = CSC (A/3 + 2B/3): CSC (B/3 + 2A/3): CSC (B/3 −
  25. The reciprocal of sine is cosecant. i.e. the reciprocal of sin (A) is, csc , ( A),or COSEC (A). Cosecant gives the ratio of the length of the hypotenuse
  26. Sec (C + ω) antipodes of the Steiner point * Focus of the Keeper parabola =, csc , ( B − C): CSC (C − A): CSC (A − B). Other properties of the circumcise
  27. Iraqi dictator Saddam Hussein in December 2003 *Bishop Daniel Robert Jenny, csc , is the Bishop of the Roman Catholic Diocese of Peoria; former rector of the
  28. For the second isogenic center, X (14):: CSC (A − π/3): CSC (B − π/3):, csc , ( C − π/3),or, equivalently,: sec (A + π/6): sec (B + π/6): sec (C + π/6
  29. Point, given in bilinear coordinates as a−3: b−3: c−3,or, equivalently,by:, csc , ( A − ω): CSC (B − ω): CSC (C − ω),is the Bro card midpoint of the
  30. C − π/6). * Bilinear coordinates for the second isogenic center, X (14)::, csc , ( A − π/3): CSC (B − π/3): CSC (C − π/3),or, equivalently,: sec (A + π/6
  31. Triangle, called the circumtangential triangle, has these vertices:: A-vertex =, csc , ( C/3 − B/3): CSC (B/3 + 2C/3): CSC (C/3 + 2B/3): B-vertex = CSC (A/3 +
  32. B/3): CSC (B/3 + 2C/3): CSC (C/3 + 2B/3): B-vertex = CSC (A/3 + 2C/3):, csc , ( A/3 − C/3): CSC (C/3 + 2A/3): C-vertex = CSC (A/3 + 2B/3): CSC (B/3 +
  33. Using a unit circle. Image: CSC drawing process. GIF|Graphing process of y =, csc , ( x) using a unit circle. Mnemonics A common use of mnemonics is to remember
  34. For the first isogenic center, X (13):: CSC (A + π/3): CSC (B + π/3):, csc , ( C + π/3),or, equivalently,: sec (A − π/6): sec (B − π/6): sec (C − π/6
  35. Frac. Finally, the reciprocal functions' secant (sec),cosecant (, csc , ),and cotangent (cot) are the reciprocals of the cosine, sine,and tangent::
  36. Circumtangential triangle, has these vertices:: A-vertex = CSC (C/3 − B/3):, csc , ( B/3 + 2C/3): CSC (C/3 + 2B/3): B-vertex = CSC (A/3 + 2C/3): CSC (A/3
  37. Has its own name and abbreviation; for example,1/ (sin x) = (sin x)−1 is, csc , x. A similar convention applies to logarithms, where logo usually means (log
  38. C = 0: 0: 1: * in center = 1: 1: 1: * centroid bc: ca: ab 1/a: 1/b: 1/c = CSC A:, csc , B: CSC C.: * circumvented = cos A: cos B: cos C.: * orthocenter = sec A: sec B:

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