By Stan Gibilisco
Attempt offers a good, and absolutely painless solution to examine the basics and basic techniques of geometry. Self-teaching consultant bargains multiple-choice questions on the finish of every bankruptcy, and a 100-question self-test. Softcover.
Read Online or Download Geometry Demystified: A Self-Teaching Guide PDF
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Additional info for Geometry Demystified: A Self-Teaching Guide
Here are some useful facts concerning these four-sided plane ﬁgures. SUM OF MEASURES OF INTERIOR ANGLES No matter what the shape of a quadrilateral, as long as all four sides are straight line segments of positive and ﬁnite length, and as long as all four vertices lie in the same plane, the sum of the measures of the interior angles is 3608 (2 rad). Figure 3-7 shows an example of an irregular quadrilateral. The interior angles are denoted w, x, y, and z. In this example, angle w measures more than 1808 ( rad).
The vertices of a triangle always lie in a single geometric plane, because any three points, no matter which ones you choose, deﬁne a unique geometric plane. But when you have four points, they don’t all necessarily lie in the same plane. ’’ This is why a four-legged stool or table often wobbles, and why it is so diﬃcult to trim the lengths of the legs so the wobbling stops. Once the ends of the legs lie in a single plane, and they deﬁne the vertices of a plane quadrilateral, the stool or table won’t wobble, as long as the ﬂoor is perfectly ﬂat.