Cidepe

Function

Intended for experimental study, mathematics laboratory and conducting mathematical experiments on: Mathematics. Metrology. Significant figures and uncertainties. Functions. What are the characteristics of the graph of an affine function? Negative slope and positive slope. What are the characteristics of a quadratic function? The exponential function. What are the characteristics of a quadratic function? With an ultrasonic position sensor. What are the characteristics of a sinusoidal function? With an ultrasonic position sensor. Algebra. The notable products: square of the sum of two terms and of the difference of two terms. First-degree equation with one unknown and the additive and multiplicative principles of equalities. First-degree inequality with one unknown and the additive and multiplicative principles of inequalities. Ratio, how to compare by means of division. Proportion and the directly proportional relationship. The inversely proportional relationship. Trigonometry. The angular properties of triangles. The fundamental trigonometric relations of the right triangle. The Pythagorean theorem, a metric relationship between the sides of a right triangle. The law of sines and cosines in a right triangle. Measuring the height of a distant object, the clinometer. The degree, the radian, the quadrants and their conversions. The sine, cosine and tangent in the trigonometric circle. The fundamental trigonometric relationship in the trigonometric circle. Plane and metric geometry. The value of the constant pi. The relationships between the angles formed by parallel lines intersected by a transversal line. How to obtain the number pi in the circumference? How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters. How to obtain the areas of the polygons rectangle, square, triangle, parallelogram, trapezoid and rhombus? The Pythagorean theorem. Thales' theorem, intersection, ratio and proportion. Thales' theorem and similar triangles. Spatial and metric geometry. Area of a regular hexahedron, the cube. The oblique rectangular prism and the right quadrangular prism, right parallelepiped and its area. Regular right and irregular pyramids, the area of a regular right pentagonal pyramid. The area of a right circular cylinder. The sphere and the area of the sphere inscribed in a cylinder. The external, internal, and wall volumes of a hollow cube. The pyramids, the external, internal, and wall volumes of a hollow regular pentagonal pyramid. The prisms, the external and wall volumes of a hollow right quadrangular prism. The indirect measurement of volume. The solid of revolution obtained by rotating a rectangle, the right cylinder. The solid of revolution obtained by rotating a right triangle, the right cone. The cone of revolution intercepted by a plane, the truncated cone. The conical surface of revolution intercepted by a plane, conic sections, curves. The sphere of revolution obtained by rotating a semicircle and the spherical cap. The conical shell resulting from the revolution of an inclined line. The cylindrical shell resulting from the rotation of a vertical line. The disk resulting from the rotation of a horizontal line. The circular ring, torus, or toroidal surface resulting from the rotation of a circle. The spherical shell resulting from the rotation of a circle around one of its diameters. The paraboloid of revolution or circular paraboloid resulting from the rotation of a parabola. The ellipsoid resulting from the rotation of an ellipse. Analytical geometry. The shortest path is not always the fastest. The brachistochrone characteristic of the inverted cycloid. Time is independent of the sphere's starting point, a tautochrone characteristic of the inverted cycloid. How to obtain a cycloid curve using free software? Probability. What is the probability? AND rule and OR rule, etc.