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› Mathematical disciplines, reliability and modeling
› Planometry
Planometry
All lectures:
All lectures on the discipline: planometry are collected here. These fascinating lectures provide us with the opportunity to explore the deep principles and phenomena underlying our knowledge and our desire to understand the world.
1. Fundamentals of geometry
2. Perimeter
3. Planimetry
4. Straight and point
5. Section
6. Semi-straight beam.
7. Perpendicular straight lines
8. Parallel straight angles arising at the intersection.
9. A sign of parallel lines
10. Half plane
11. Angle
12. Types of angles
13. Angle bisector
14. Triangle
15. Types of triangles
16. Equality of triangles
17. The height, median and bisector of the triangle
18. The first sign of equality of triangles
19. The second sign of equality of triangles
20. Properties of parallel lines
21. Equilateral triangle
22. Properties of angles of an isosceles triangle
23. Sign of an isosceles triangle
24. Median property of an isosceles triangle
25. The property of the median and height of an isosceles triangle
26. The third sign of equality of triangles
27. The sum of the corners of the triangle
28. The outer corners of the triangle
29. Right triangle
30. The existence and uniqueness of the perpendicular to the line
31. Distance from point to straight
32. Circle
33. Touching Circles
34. Circle properties
35. Circumference described around a triangle
36. Middle perpendicular. Mediaatrix
37. Triangle Circumference
38. Building shapes
39. Construction of a triangle with given sides
40. Construction of an angle equal to this
41. Construction of the bisector of the angle
42. Dividing the segment in half
43. Construction of a perpendicular straight line
44. Construction of the fourth proportional segment
45. Quadrilateral
46. Parallelogram. Signs of parallelogram
47. Parallelogram properties
48. Rectangle. Rectangle Tag
49. Rectangle properties
50. Rhombus. Signs of rhombus.
51. Diamond property
52. Square. Sign of the square
53. Thales theorem
54. Center line of a triangle
55. Trapezium
56. Trapezoid properties
57. Proportional Sequence Theorem
58. Cosine angle
59. Pythagorean theorem
60. Triangle inequality
61. Sine and tangent angle
62. Cartesian coordinates on the plane
63. Distance between points
64. Mid section
65. Equation of circle
66. Equation of a straight line - analytical geometry
67. The coordinates of the point of intersection of straight lines
68. The position of the line relative to the coordinate system
69. The angular coefficient in the equation is straight. The geometric meaning of the coefficient.
70. Shape transformation
71. Motion properties
72. Symmetry about point
73. The symmetry property about a point
74. Symmetry relatively straight
75. Turn
76. Parallel transfer
77. Parallel Carry Property
78. Semi-direct directionality - theory and example
79. Similarity conversion
80. Vector
81. Unit vectors
82. Collinear Vector
83. Collinear vector. Properties
84. Vector coordinates
85. Coordinates of the vector. Properties
86. Equality of vectors
87. Addition of vectors. Parallelogram rule
88. Addition of vectors. Triangle rule
89. Addition of vectors. Difference
90. The property of multiplying a vector by a number
91. Multiply vector by number
92. Homothety
93. Homotetia. Property
94. Similarity of figures
95. Sign of the similarity of triangles at two angles
96. Sign of similarity of triangles on two sides and angles between them
97. Sign of similarity of triangles on three sides
98. Corners inscribed in a circle
99. Angles inscribed in a circle. Property
100. Proportionality of chord segments
101. Cosine theorem
102. Sine Theorem
103. Broken
104. Convex polygons
105. Convex polygons. Property
106. Regular polygons
107. Formula for the radii of inscribed circles of regular polygons
108. The formula for the radii of the circumscribed circles of regular polygons
109. Circumference
110. Radian angle measure
111. Square
112. Rectangle area
113. Parallelogram area
114. Area of a triangle
115. Trapezium area
116. Circle, circular segment, circular sector
117. Area of a circle
118. Area of a circular sector
119. Circular segment area