Geometry Camp

In mathematics, the natural numbers are used to count (or enumerate) objects, such as the objects in a collection or set. These have been defined by the Peano axioms. Natural numbers can be used to count objects (e.g. number of students in a class), to measure lengths (e.g. number of meters in a yard), or to measure rates (e.g. number of miles per hour). The first three numbers (1, 2, and 3) are the first three counting numbers.

In mathematics, the natural numbers are used to count (or enumerate) objects, such as the objects in a collection or set. These have been defined by the Peano axioms. Natural numbers can be used to count objects (e.g. number of students in a class), to measure lengths (e.g. number of meters in a yard), or to measure rates (e.g. number of miles per hour). The first three numbers (1, 2, and 3) are the first three counting numbers.

In mathematics, the number 45 (forty-five) is a natural number that follows 44 and precedes 46.

In mathematics, the number 45 (forty-five) is a natural number that follows 44 and precedes 46.

In mathematics, a cofunction is a function that is the inverse of another function. For example, the sine and cosine functions are cofunctions of each other, as are the logarithm and exponential functions.

In mathematics, the mean proportional is a geometric mean, and is the number which is the arithmetic mean of the reciprocals of the members of a set of numbers.

In mathematics, the mean proportional theorems are a pair of theorems that relate the arithmetic and geometric means of two (or more) numbers. They were first discovered by Nicomachus in the 2nd century AD.

In mathematics, a Pythagorean triple consists of three positive integers "a", "b", and "c" such that "a" + "b" = "c" and "a" ? "b" (mod "c"), i.e., "a", "b", and "c" are mutually Pythagorean. The term "Pythagorean triple" is also used to refer to the set of all such triples with a given integer value of "c".

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation": a^2+b^2+c^2. where c represents the length of the hypotenuse and a and b represent the lengths of the triangle's other two sides.

In mathematics, the term congruence refers to the relationship between two objects, or sets of objects, when one of the objects is said to be "similar to" or "congruent to" the other. This relationship is denoted x ~ y, and the notation is read "x is congruent to y".

In geometry, the trigonometric functions are functions of an angle. They relate the angles of a triangle to the lengths of its sides. The three main trigonometric functions are the sine (sin), cosine (cos), and tangent (tan). The ratios of the sides are functions of the angles, and they are known as the sine ratio, cosine ratio, and tangent ratio. The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

In mathematics, trigonometry, also called triangulation, is a branch of mathematics concerning the relationships between the sides and the angles of triangles. Trigonometry is used in the measurement and description of the shapes of objects, such as the positions of stars and the sizes of galaxies, as well as in navigation, engineering, and physics. Trigonometry is also the foundation of surveying. Trigonometry is most simply associated with planar right-angle triangles. The word "trigonometry" comes from the Greek words "trig?non" (????????, "triangle") and "metron" (??????, "measure").

Trigonometry (from Greek trigonon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Trigonometry is also the foundation of surveying.