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قراءة كتاب An Elementary Course in Synthetic Projective Geometry

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‏اللغة: English
An Elementary Course in Synthetic Projective Geometry

An Elementary Course in Synthetic Projective Geometry

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دار النشر: Project Gutenberg
الصفحة رقم: 3

style="margin-left: 2em">28. Restatement of the theorem

  • 29. Four harmonic points
  • 30. Harmonic conjugates
  • 31. Importance of the notion of four harmonic points
  • 32. Projective invariance of four harmonic points
  • 33. Four harmonic lines
  • 34. Four harmonic planes
  • 35. Summary of results
  • 36. Definition of projectivity
  • 37. Correspondence between harmonic conjugates
  • 38. Separation of harmonic conjugates
  • 39. Harmonic conjugate of the point at infinity
  • 40. Projective theorems and metrical theorems. Linear construction
  • 41. Parallels and mid-points
  • 42. Division of segment into equal parts
  • 43. Numerical relations
  • 44. Algebraic formula connecting four harmonic points
  • 45. Further formulae
  • 46. Anharmonic ratio
  • PROBLEMS
  • CHAPTER III - COMBINATION OF TWO PROJECTIVELY RELATED FUNDAMENTAL FORMS
  • 47. Superposed fundamental forms. Self-corresponding elements
  • 48. Special case
  • 49. Fundamental theorem. Postulate of continuity
  • 50. Extension of theorem to pencils of rays and planes
  • 51. Projective point-rows having a self-corresponding point in common
  • 52. Point-rows in perspective position
  • 53. Pencils in perspective position
  • 54. Axial pencils in perspective position
  • 55. Point-row of the second order
  • 56. Degeneration of locus
  • 57. Pencils of rays of the second order
  • 58. Degenerate case
  • 59. Cone of the second order
  • PROBLEMS
  • CHAPTER IV - POINT-ROWS OF THE SECOND ORDER
  • 60. Point-row of the second order defined
  • 61. Tangent line
  • 62. Determination of the locus

    • Pages