GE05 LA CIRCUMFERENCE EUCLIDEAN GEOMETRY
the geometric places Euclidean geometry
the circumference and the circle Euclidean geometry
the theorems on strings Euclidean geometry
circles and straight lines Euclidean geometry
the reciprocal positions between two circles in Euclidean geometry
the angles to the circle Euclidean geometry
GE06 THE INSCRIPTED AND CIRCUMSCRIBED POLYGONS
The inscribed polygons
The circumscribed polygons
Triangles and notable points
The inscribed and circumscribed quadrilaterals
The regular polygons
The inscribed and circumscribed polygons
GE07 THE EQUIVALENT SURFACE AND THE AREA
The equivalence of surfaces
The equivalence of parallelograms
Triangles and equivalence
The equivalence between a circumscribed polygon and a triangle
The equivalence of flat surfaces
The construction of equivalent polygons
The measurement of the areas of polygons
GE08 THE THEOREMS OF EUCLID AND OF PYTHAGORAS
Euclid's first theorem
The Pythagorean theorem
Applications of the Pythagorean theorem
Euclid's second theorem
GE09 PROPORTIONALITY
The geometric quantities
The commensurable and incommensurable quantities
L13 i sistemi lineari
systems of two equations in two unknowns
the replacement method
determined, impossible, indeterminate systems
the comparison method for solving systems
the reduction method for solving systems
matrices and determinants
Cramer's method
methods for solving linear systems
systems of three equations and three unknowns
literal and fractional systems
linear systems and problems
L14 I RADICALS
the real numbers
square roots and cube roots
the nth root
simplification and comparison of radicals
L15 OPERATIONS WITH RADICALS
the multiplication and division of radicals
the transport of a factor outside or inside the root sign
the potency and root of a radical
the addition and subtraction of radicals
radicals and operations
the rationalization of the denominator of a fraction
equations, systems and inequalities with irrational coefficients
powers with rational exponents
L16 THE CARTESIAN PLAN AND THE STRAIGHT
points and segments in analytic geometry
the equation of a straight line passing through the origin
the general equation of the straight line
straight lines and linear systems
parallel lines and perpendicular lines in analytic geometry
bundles of straight lines in analytic geometry
how to determine the equation of a straight line
the distance of a point from a line
the parts of the plane and the straight line in analytic geometry
L17 THE SECOND DEGREE EQUATIONS AND THE PARABOLA
second degree equations
the resolution of a quadratic equation
first and second degree integer numerical equations
the quadratic function and the parabola
the relationship between roots and coefficients
Descartes' rule
the decomposition of a trinomial of the second degree
quadratic equations and problems
L18 THE APPLICATIONS OF SECOND DEGREE EQUATIONS
fractional and literal equations
equations and problems
first degree parametric equations
second order parametric equations
equations of degree higher than the second
L19 THE SECOND GRADE SYSTEMS AND SUPERIOR
second-rate systems
the graphic interpretation of second degree systems
systems higher than the second degree
problems with systems higher than the second degree
L20 the inequalities of the second degree and the higher degree
the linear inequalities
the sign of integer quadratic inequalities
the resolution of integer quadratic inequalities
integer inequalities of degree higher than the second
the fractional inequalities
the systems of inequalities
problems with inequalities
L21 APPLICATIONS OF INEQUATIONS
parametric equations and inequalities
irrational equations
irrational inequalities
equations with absolute values
inequalities with absolute values
graphs of functions with absolute values
L21B INTRODUCTION TO PROBABILITY
the events and the sample space
the classic definition of probability
operations with events
the theorems related to the calculus of probabilities
other definitions of probability