Geometry

Geometryis a part of mathematics disturbed with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the important oldest sciences. Initially a body of sensible knowledge concerning lengths, areas, and volumes, in the third century B.C. geometry was put into an axiomatic form by Euclid, whose treatment set a standard for many centuries to follow. Astronomy served as an important source of geometric troubles during the next one and a half millennia.

Introduction of coordinates by Descartes and the concurrent improvement of algebra marked a new stage for geometry, since geometric figures, such as plane curves, could now be represented analytically. This played a key role in the appearance of calculus in the seventeenth century. Furthermore, the theory of outlook showed that there is more to geometry than just the metric properties of figures.

Hyperrectangle

In geometry, an orthotope, (also called a hyperrectangle or a box) is the simplification of a rectangle for higher dimensions, formally defined as the Cartesian product of intervals.

A three-dimensional orthotope is also known as right rectangular prism, or cuboid.

An extraordinary case of an n-orthotope is the n-hypercube.

By analogy, the term "hyperrectangle" or "box" refers to Cartesian products of orthogonal intervals of extra kinds, such as ranges of keys in database theory or ranges of integers, rather than real numbers.

Cuboid

In anatomy, the cuboid bone is a bone in the end.
Cuboid

In geometry, a cuboid is a firm figure bounded by six rectangular faces: a rectangular box. All angles are right angles, and opposite faces of a cuboid are identical. It is also a correct rectangular prism. The term "rectangular or oblong prism" is
indefinite. Also the term rectangular parallelepiped is used.

The square cuboid, square box or right square prism (also ambiguously called square prism) is a particular case of the cuboid in which at least two faces are squares. The cube is a special case of the square prism in which every one faces are squares.

If the proportions of a cuboid are a, b and c, then its volume is abc and its surface area is 2ab + 2bc + 2ac.

It is a rounded polyhedron. It contains faces that enclose a single region of space. It has 6 faces, and 8 vertices, and 12 edges.

Euler's formula (the number of faces (F), vertices (V), and edges (E) of a polyhedron are associated by the formula F + V = E + 2 gives here 6 + 8 = 12 + 2.

Cuboid shapes are a lot used for boxes, cupboards, rooms, buildings, etc. Cuboids are among those solids that can tesselate 3-dimensional space. The shape is reasonably versatile in being able to contain several smaller cuboids, e.g. sugar cubes in a box, small boxes in a large box, a cupboard in a room, and rooms in a building.

Rectangle

In geometry, a rectangle is defined as a four-sided figure where all four of its angles are right angles.

From this definition, it follows that a rectangle has two pairs of parallel sides; that is, a rectangle is a quadrilateral. A square is a exceptional kind of rectangle where all four sides have equal length; that is, a square is both a rectangle and a rhombus. A rectangle that is not a square is colloquially known as an four-sided figure.

Normally, of the two opposite pairs of sides in a rectangle, the duration of the longer side is called the length of the rectangle, and the duration of the shorter side is called the width. (Exception: For rectangular steel sheets, the rolling direction is called length, even if it is the shorter side.)

The area of a rectangle is the multiplication of its length and its width; in symbols, A = lw. For example, the area of a rectangle with a length of 6 and a width of 5 would be 30, because 6*5=30

In a rectangle the diagonals cross each others at their respective midpoints, under the same argument as for parallelograms. And unlike general parallelograms the two diagonals of a rectangle have the same length, the length of the diagonal can be found using the Pythagorean theorem.

In calculus, the Riemann fundamental can be thought of as a limit of sums of the areas of arbitrarily thin rectangles.

Sports

Perfect is a physical phenomenon known to athletes? When a person exercise at a certain level for a certain period over a certain number of weeks, their body will raise its metabolism to a higher level - it will continue at this level as long as a certain amount of exercise is performed each couple of days. This result was discovered by Dr. Kenneth H. Cooper for the United States Air Force in the late 1960s. Dr. Cooper coined the term "Training Effect" for this.

The measured effects were that muscles of respiration were strengthened, the heart was strengthened, blood pressure was infrequently lowered and the total amount of blood and number of red blood cells increased, making the blood a more competent carrier of oxygen. VO2 Max was amplified.

The exercise necessary can be talented by any aerobic exercise in a wide diversity of schedules - Dr. Cooper found it best to award "points" for each amount of exercise and require 30 points a week to preserve the Training Effect.

As it would be foolish for someone unconditioned to challenge 30 points in their first week, Dr. Cooper instead recommends a "12-minute test" followed by adherence to the appropriate starting-up schedule in his book. As always, he recommends that a physical exam should lead any exercise program.