C O N T E N T S

Mamikon......Geometric NATURE

Book 0. Elementary I N T R O

PREREQUISITES

Standard Way - Original Look
0. Gravity... 1. Space & Symmetries... 2. Reshaping Rectangles... 3. Triangles & ZigZags

00. Polygons

71. Ellipse&Parabola

01. Circle (12 elementary solutions for Area)

72. Cyclogons

02. Ellipse

73. Epi-Cyclogons

03. Parabola

74. Hypo-Cyclogons

04. Archimedian.Spiral

75. Pillows. S.Areas

07. Roses

76. Pillows. Volumes

06. Logarithmic Spiral

77. SineOid-CosineOid

05. Hyperbolic Segment

78. KeplerOids

08. Sine & Cosine ( 4 elementary solutions)

79. CyclogonOid

09. Sine&CosineSquared

70. Poly-TorOid

10. Prizm & Pyramid (3 elementary solutions)

71. Cycloid

Natural Bases, Descriptions

THE NATURE OF MAMIKON'S METHOD

Book 1. B A S I C Areas & Volumes

ConsTang

VaryTang

Cycloidals

Volumes

11. Circular Rings

21. Ikon/Hodograph

31. Cycloid

41. Wedding Rings

12. Polygonal Rings

22. Theorem/Method

32. Cardioid

42. Gastronomy

13. Oval Rings

23. Exponent+Log

33. Astroid

43. Hyperboloid-1

14. Bicyclix

24. Involute Circle

34. Rosettes Fans

44. Hyperboloid-2

15. PyTheor

25. HyperbolaWhole

35. Epi-Cycloids

45. Ellipsoid

16. Open Ring

26. DogFoxer

36. Hypo-Cycloids

46. Sphere

17. Tractrix

27. DogFoxerGeneral

37. Roulettes

47. Paraboloid

18. Helicoid

28. Poders, Cardioid

38. BernoulliLemnisc

48. Perseids

19. HollowBalls

29. Parabola

39. Generalizations

49. PseudoSphere

.....HollOids&BallOids

30. Evolutes&InvolutesGen.

Histories, Mysteries, MyStories, Applications, Generalizations, Naturalizations

Book 2. ADVANCED APPLICATIONS of MM

MORE AREAS

MORE VOLUMES

GRAVITY CENTERS

APPLICATIONS

50. Power Functions

60. Circle&InvlArchmPoder

Triangle

Mam&Cavaliery

51. InversePowerFuncts

61. Exponentoid

M.Theorem

Mam&Holditch's

52. Catenary Properties

62. S.Area & Volume

CatenOid

Mam&Pappus

53. Catenary Area

63. HyperbolOid-3

HyperbolOids

Bike&Curvatures

54. Susp.Bridges

64. CatenOidGen.

PseudoSphere

Bike-Compass-Lengths

55. Expoonent Generalized

65. DogFoxOid

PursuitOid

PolarOids

56. CycloTrix

66. CycloidOid

CycloidOid

Tomography

57. Tangent Squared

67. CatenOid

TangentOid

Suspension Bridges

58. AnyCycloid

68. PursuitOid

Sphere,EllipsOid

Shaputers

59. Roulettes-Poders

69.TangentOid

PillOids

KolbasOid

.....HelicOids&HeliXoid

.....SpiralOids

PappOids

Space Curves

SineOids

Relations, Connections, Philosophy, Pedagogy, Psychology, Terminology, Arguments