Exponential roots in .NET framework

Printer PDF417 in .NET framework Exponential roots

The wonderful world of math is also home to concepts like cube roots, fourth roots, fifth roots, and so on These roots are a factor of a number, which, when cubed (multiplied by itself three times), taken to the fourth power (multiplied by itself four times), and so on, produce the original number A couple of examples seem to be in order: The cube root of 27 is 3 If you cube 3 (also known as raising it to the third power or multiplying 3 3 3), the product is 27 The fourth root of 16 is that number which, when multiplied by itself four times, equals 16 Any guesses Drumroll, please: 2 is the fourth root of 16 because 2 2 2 2 = 16

Geometry is the branch of mathematics that makes grown adults cry end of discussion What You want a more specific explanation of geometry than that Okay, geometry is the branch of mathematics concerned with measuring things and defining the properties of and relationships between and among shapes, lines, points, angles, and other such objects Hey, don t blame us; you asked for it Before you read any further, you should note a few things to remember: Arcs, circles, triangles, and angles are measured in degrees and (not very often) in minutes (which are smaller than degrees) A circle has 360 degrees (360 ) A quadrilateral (shapes with four sides like a square or rectangle) has 360 Any arc or angle that isn t a complete circle or quadrilateral measures less than 360

Angles are formed when two lines intersect at a point Angles are measured in degrees The greater the number of degrees, the wider the angle is: A straight line is 180 A right angle is exactly 90 An acute angle is more than 0 and less than 90 An obtuse angle is more than 90 but less than 180 Complementary angles are two angles that equal 90 when added together Supplementary angles are two angles that equal 180 when added together Take a look at the different types of angles in Figure 8-1

A triangle consists of three straight lines whose three angles always add up to 180 The sides of a triangle are called legs Triangles can be classified according to the relationship between their angles or the relationship between their sides or some combination of these relationships: Isosceles triangle: Has two equal sides, and the angles opposite the equal sides are also equal Equilateral triangle: Has three equal sides, and all the angles measure 60 Right triangle: Has one right angle (90 ); therefore, the remaining two angles are complementary (add up to 90 ) The side opposite the right angle is called the hypotenuse, which is the longest side of a right triangle Check out Figure 8-2 to see what these triangles look like

When working with triangles, there are a few other terms and concepts you need to know: You can find the perimeter the distance around a shape of a triangle by adding together the length of the three sides The area the space within a shape of a triangle is one-half the product of the base (the bottom or the length) and the height (the tallest point of the triangle) or 1/2bh The Pythagorean theorem states that if you know the length of two sides of a right triangle, the length of the third side can be determined, using the formula a2 + b2 = c2, where a and b represent the length of the two known sides

Quadrilaterals shapes with four sides all contain angles totaling 360 Many different types of quadrilaterals exist: Parallelograms have opposite sides that are parallel, and their opposite sides and angles are equal Rectangles have all right angles Rhombuses have four sides of equal length, but the angles don t have to be right angles