THE ARK OF MATHEMATICS PART 1: GEOMETRY MADE SIMPLE, FUN, AND EASY by Chad Clawitter

Author:Chad Clawitter [Clawitter, Chad]
Language: eng
Format: azw3, pdf
Published: 2019-03-26T16:00:00+00:00

The big square is made of both the rotated middle square and the four rotated copies of the right triangle. The area of the big square is equal to the area of the middle rotated square plus four times the area of one of the right triangles.

Calculating The Radial Distance

The radial distance, r, is the distance between the origin, (0, 0), and the position of the point (x, y). The radial distance can be calculated from the x coordinate, x, and y coordinate, y, using the Pythagorean Theorem.

Sinusoidal Parameterization

It is from the Pythagorean Theorem that we are able to obtain the equation of a circle. Every point (x, y), that exists on the circle of radius, r, centered on the origin, (0, 0), fits the equation x2+y2=r2. Therefore, we have just derived the equation of the circle, which is x2+y2=r2.

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