As many other subject, algebra is connected with geometry and most of them can be converted into the other by using coordinates. The fist person to describe coordinates was Fermat, who also discovered the advantages of rephrasing geometrical concepts in algebraic terms.
Oblique: they do not necessarily cross at right angles
Fermat's principle states that any equation in two coordinate variables defines a curve, and his examples tell us what kind of equations correspond to what kind of curve, drawing on the standard curves known to the Greeks.
Our visual system presents the outside world to each eye as 2 dimensional image, as tv screen images. Our sorrounding world is a 3 dimensions, as well as coordinates. The planes are two dimensional. The number of dimensions is given by how many numbers we need to specify a point.
In a three dimensional space, a single equation defines a surface.
A straight line corresponds to a linear equation. A conic section corresponds to a quadratic equation.
Much of the effectiveness of mathematics as a way to understand the universe stems from its ability to adapt ideas, transferring them from one are of science to another. This much likely seems as a description of MPC, where students have the ability to connect different things and form their own understanding of things, and is able to adapt ideas and make them their own.
Oblique: they do not necessarily cross at right angles
Fermat's principle states that any equation in two coordinate variables defines a curve, and his examples tell us what kind of equations correspond to what kind of curve, drawing on the standard curves known to the Greeks.
Our visual system presents the outside world to each eye as 2 dimensional image, as tv screen images. Our sorrounding world is a 3 dimensions, as well as coordinates. The planes are two dimensional. The number of dimensions is given by how many numbers we need to specify a point.
In a three dimensional space, a single equation defines a surface.
A straight line corresponds to a linear equation. A conic section corresponds to a quadratic equation.
Much of the effectiveness of mathematics as a way to understand the universe stems from its ability to adapt ideas, transferring them from one are of science to another. This much likely seems as a description of MPC, where students have the ability to connect different things and form their own understanding of things, and is able to adapt ideas and make them their own.