Piano cartesiano

Concept — Piano cartesiano.

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07 · 19 · 20 · 28 · 36 · 37

Linked atoms

34 linked atoms.

07 Teoria degli insiemi

• What a relation is

19 Luoghi geometrici nel piano cartesiano

• A unifying definition of the conics
• Locus
• Perpendicular bisector of a given segment
• Perpendicular bisector of a segment
• The perpendicular bisector as a locus
• Why the locus is a line

20 Circonferenza nel piano cartesiano

• Centre, radius and position of a point
• Definition of a circle
• From the definition to the equation

28 Circonferenza goniometrica e funzioni sin, cos, tan

• Conversion between polar and Cartesian
• Equations in polar coordinates
• From Cartesian to polar
• From Cartesian to polar for a circle
• From polar to Cartesian
• Plotting the cardioid
• Polar coordinates and complex numbers
• Polar equation of the parabola
• Two languages for the same point
• What polar coordinates are

36 Numeri complessi

• Complex number and Cartesian form
• Division by rationalising
• Operations in Cartesian form
• Product of two complex numbers
• Quadratic equation in C

37 Geometria analitica nello spazio

• Cartesian coordinates in space
• Distance, midpoint and centroid
• Example - distance between two points
• Line-plane and plane-plane distances
• Point-plane distance
• Radius of the section
• Sphere and plane
• Sphere-plane position
• Vector, magnitude and midpoint