Heinrich Dorrie

Indeholder "Preface", "Prefact to the Second Edition", "Arithmetical Problems", " 1. Archimedes' Problema Bovinum", " 2. The Weight Problem of Bachet de Méziriac", " 3. Newton's Problem of the Fields and Cows", " 4. Berwick's Problem of the Seven Sevens", " 5. Kirkman's Schoolgirl Problem", " 6. The Bernoulli-Euler Problem of the Misaddressed Letters", " 7. Euler's Problem of Polygon Division", " 8. Lucas' Problem of the Married Couples", " 9. Omar Khayyam's Binomial Expansion", " 10. Cauchy's Mean Theorem", " 11. Bernoulli's Power Sum Problem", " 12. The Euler Number", " 13. Newton's Exponential Series", " 14. Nicolaus Mercator's Logarithmic Series", " 15. Newton's Sine and Cosine Series", " 16. Andre's Derivation of the Secant and Tangent Series", " 17. Gregory's Arc Tangent Series", " 18. Buffon's Needle Problem", " 19. The Fermat-Euler Prime Number Theorem", " 20. The Fermat Equation", " 21. The Fermat-Gauss Impossibility Theorem", " 22. The Quadratic Reciprocity Law", " 23. Gauss' Fundamental Theorem of Algebra", " 24. Sturm's Problem of the Number of Roots", " 25. Abel's Impossibility Theorem", " 26. The Hermite-Lindemann Transcendence Theorem", "Planimetric problems", " 27. Euler's Straight Line", " 28. The Feuerbach Circle", " 29. Castillon's Problem", " 30. Malfatti's Problem", " 31. Monge's Problem", " 32. The Tangency Problem of Apollonius", " 33. Mascheroni's Compass Problem", " 34. Steiner's Straight-edge Problem", " 35. The Delian Cube-doubling Problem", " 36. Trisection of an Angle", " 37. The Regular Heptadecagon", " 38. Archimedes' Determination of the Number pi", " 39. Fuss' Problem of the Chord-Tangent Quadrilateral", " 40. Annex to a Survey", " 41. Alhazen's Billiard Problem", "Problems concerning conic sections and cycloids", " 42. An Ellipse from Conjugate Radii", " 43. An Ellipse in a Parallelogram", " 44. A Parabola from Four Tangents", " 45. A Parabola from Four Points", " 46. A Hyperbola from Four Points", " 47. Van Schooten's Locus Problem", " 48. Cardan's Spur Wheel Problem", " 49. Newton's Ellipse Problem", " 50. The Poncelet-Brianchon Hyperbola Problem", " 51. A Parabola as Envelope", " 52. The Astroid", " 53. Steiner's Three-pointed Hypocycloid", " 54. The Most Nearly Circular Ellipse Circumscribing a Quadrilateral", " 55. The Curvature of Conic Sections", " 56. Archimedes' Squaring of a Parabola", " 57. Squaring a Hyperbola", " 58. Rectification of a Parabola", " 59. Desargues' Homology Theorem (Theorem of Homologous Triangles)", " 60. Steiner's Double Element Construction", " 61. Pascal's Hexagon Theorem", " 62. Brianchon's Hexagram Theorem", " 63. Desargues' Involution Theorem", " 64. A Conic Section from Five Elements", " 65. A Conic Section and a Straight Line", " 66. A Conic Section and a Point", "Stereometric problems", " 67. Steiner's Division of Space by Planes", " 68. Euler's Tetrahedron Problem", " 69. The Shortest Distance Between Skew Lines", " 70. The Sphere Circumscribing a Tetrahedron", " 71. The Five Regular Solids", " 72. The Square as an Image of a Quadrilateral", " 73. The Pohlke-Schwarl Theorem", " 74. Gauss' Fundamental Theorem of Axonometry", " 75. Hipparchus' Stereographic Projection", " 76. The Mercator Projection", "Nautical and astronomical problems", " 77. The Problem of the Loxodrome", " 78. Determining the Position of a Ship at Sea", " 79. Gauss' Two-Altitude Problem", " 80. Gauss' Three-Altitude Problem", " 81. The Kepler Equation", " 82. Star Setting", " 83. The Problem of the Sundial", " 84. The Shadow Curve", " 85. Solar and Lunar Eclipses", " 86. Sidereal and Synodic Revolution Periods", " 87. Progressive and Retrograde Motion of the Planets", " 88. Lambert's Comet Problem", "Extremes", " 89. Steiner's Problem Concerning the Euler Number", " 90. Fagnano's Altitude Base Point Problem", " 91. Fermat's Problem for Torricelli", " 92. Tacking Under a Headwind", " 93. The Honeybee Cell (Problem by Reaumur)", " 94. Regiomontanus' Maximum Problem", " 95. The Maximum Brightness of Venus", " 96. A Comet Inside the Earth's Orbit", " 97. The Problem of the Shortest Twilight", " 98. Steiner's Ellipse Problem", " 99. Steiner's Circle Problem", " 100. Steiner's Sphere Problem", "Index of Names".

"Preface" handler om ???
"Prefact to the Second Edition" handler om ???
"Arithmetical Problems" er overskriften for kapitel 1 til 26.
" 1. Archimedes' Problema Bovinum" handler om en diofantisk ligning med en absurd løsning fordi det giver et antal køer der ikke er plads til nogen steder.
" 2. The Weight Problem of Bachet de Méziriac" handler om ???
" 3. Newton's Problem of the Fields and Cows" handler om ???
" 4. Berwick's Problem of the Seven Sevens" handler om et divisionsstykke, som kun kræver syv hints om syvtaller for at være entydigt bestemt.
" 5. Kirkman's Schoolgirl Problem" handler om ???
" 6. The Bernoulli-Euler Problem of the Misaddressed Letters" handler om antallet af forkerte permutationer af n elementer.
" 7. Euler's Problem of Polygon Division" handler om ???
" 8. Lucas' Problem of the Married Couples" handler om ???
" 9. Omar Khayyam's Binomial Expansion" handler om ???
" 10. Cauchy's Mean Theorem" handler om ???
" 11. Bernoulli's Power Sum Problem" handler om ???
" 12. The Euler Number" handler om ???
" 13. Newton's Exponential Series" handler om ???
" 14. Nicolaus Mercator's Logarithmic Series" handler om ???
" 15. Newton's Sine and Cosine Series" handler om ???
" 16. Andre's Derivation of the Secant and Tangent Series" handler om ???
" 17. Gregory's Arc Tangent Series" handler om ???
" 18. Buffon's Needle Problem" handler om ???
" 19. The Fermat-Euler Prime Number Theorem" handler om ???
" 20. The Fermat Equation" handler om ???
" 21. The Fermat-Gauss Impossibility Theorem" handler om ???
" 22. The Quadratic Reciprocity Law" handler om ???
" 23. Gauss' Fundamental Theorem of Algebra" handler om ???
" 24. Sturm's Problem of the Number of Roots" handler om ???
" 25. Abel's Impossibility Theorem" handler om ???
" 26. The Hermite-Lindemann Transcendence Theorem" handler om ???
"Planimetric problems" er overskriften for kapitel 27 til 41
" 27. Euler's Straight Line" handler om ???
" 28. The Feuerbach Circle" handler om ???
" 29. Castillon's Problem" handler om ???
" 30. Malfatti's Problem" handler om ???
" 31. Monge's Problem" handler om ???
" 32. The Tangency Problem of Apollonius" handler om ???
" 33. Mascheroni's Compass Problem" handler om ???
" 34. Steiner's Straight-edge Problem" handler om ???
" 35. The Delian Cube-doubling Problem" handler om ???
" 36. Trisection of an Angle" handler om ???
" 37. The Regular Heptadecagon" handler om ???
" 38. Archimedes' Determination of the Number pi" handler om ???
" 39. Fuss' Problem of the Chord-Tangent Quadrilateral" handler om ???
" 40. Annex to a Survey" handler om ???
" 41. Alhazen's Billiard Problem" handler om ???
"Problems concerning conic sections and cycloids" er overskriften for kapitel 42 til 66.
" 42. An Ellipse from Conjugate Radii" handler om ???
" 43. An Ellipse in a Parallelogram" handler om ???
" 44. A Parabola from Four Tangents" handler om ???
" 45. A Parabola from Four Points" handler om ???
" 46. A Hyperbola from Four Points" handler om ???
" 47. Van Schooten's Locus Problem" handler om ???
" 48. Cardan's Spur Wheel Problem" handler om ???
" 49. Newton's Ellipse Problem" handler om ???
" 50. The Poncelet-Brianchon Hyperbola Problem" handler om ???
" 51. A Parabola as Envelope" handler om ???
" 52. The Astroid" handler om ???
" 53. Steiner's Three-pointed Hypocycloid" handler om ???
" 54. The Most Nearly Circular Ellipse Circumscribing a Quadrilateral" handler om ???
" 55. The Curvature of Conic Sections" handler om ???
" 56. Archimedes' Squaring of a Parabola" handler om ???
" 57. Squaring a Hyperbola" handler om ???
" 58. Rectification of a Parabola" handler om ???
" 59. Desargues' Homology Theorem (Theorem of Homologous Triangles)" handler om ???
" 60. Steiner's Double Element Construction" handler om ???
" 61. Pascal's Hexagon Theorem" handler om ???
" 62. Brianchon's Hexagram Theorem" handler om ???
" 63. Desargues' Involution Theorem" handler om ???
" 64. A Conic Section from Five Elements" handler om ???
" 65. A Conic Section and a Straight Line" handler om ???
" 66. A Conic Section and a Point" handler om ???
"Stereometric problems" er overskriften for kapitel 67 til 76.
" 67. Steiner's Division of Space by Planes" handler om ???
" 68. Euler's Tetrahedron Problem" handler om ???
" 69. The Shortest Distance Between Skew Lines" handler om ???
" 70. The Sphere Circumscribing a Tetrahedron" handler om ???
" 71. The Five Regular Solids" handler om ???
" 72. The Square as an Image of a Quadrilateral" handler om ???
" 73. The Pohlke-Schwarl Theorem" handler om ???
" 74. Gauss' Fundamental Theorem of Axonometry" handler om ???
" 75. Hipparchus' Stereographic Projection" handler om ???
" 76. The Mercator Projection" handler om ???
"Nautical and astronomical problems" er overskriften for kapitel 77 til 88.
" 77. The Problem of the Loxodrome" handler om ???
" 78. Determining the Position of a Ship at Sea" handler om ???
" 79. Gauss' Two-Altitude Problem" handler om ???
" 80. Gauss' Three-Altitude Problem" handler om ???
" 81. The Kepler Equation" handler om ???
" 82. Star Setting" handler om ???
" 83. The Problem of the Sundial" handler om ???
" 84. The Shadow Curve" handler om ???
" 85. Solar and Lunar Eclipses" handler om ???
" 86. Sidereal and Synodic Revolution Periods" handler om ???
" 87. Progressive and Retrograde Motion of the Planets" handler om ???
" 88. Lambert's Comet Problem" handler om ???
"Extremes" er overskriften for kapitel 89 til 100.
" 89. Steiner's Problem Concerning the Euler Number" handler om ???
" 90. Fagnano's Altitude Base Point Problem" handler om ???
" 91. Fermat's Problem for Torricelli" handler om ???
" 92. Tacking Under a Headwind" handler om ???
" 93. The Honeybee Cell (Problem by Reaumur)" handler om ???
" 94. Regiomontanus' Maximum Problem" handler om ???
" 95. The Maximum Brightness of Venus" handler om ???
" 96. A Comet Inside the Earth's Orbit" handler om ???
" 97. The Problem of the Shortest Twilight" handler om ???
" 98. Steiner's Ellipse Problem" handler om ???
" 99. Steiner's Circle Problem" handler om ???
" 100. Steiner's Sphere Problem" handler om ???
"Index of Names" er et opslagsregister over navne… (mer)