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Apr 25, 2024 · Geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space. It is one of the oldest branches of mathematics, having arisen in response to such practical problems as those found in.
- Cartesian Geometry
Geometry - Cartesian, Coordinates, Axioms: In 1619, as part...
- Transformation
Geometry - Transformations, Shapes, Symmetry: Desargues was...
- The Real World
Geometry - Measurement, Shapes, Space: Euclid’s Elements had...
- The Post-Classical Period
Geometry - Non-Euclidean, Analytic, Projective: Two...
- Projective Geometry
projective geometry, branch of mathematics that deals with...
- Differential Calculus
Differential calculus, Branch of mathematical analysis,...
- Analytic Geometry
analytic geometry, mathematical subject in which algebraic...
- Surface
surface, In geometry, a two-dimensional collection of points...
- Cartesian Geometry
May 1, 2024 · Many areas of mathematics began with the study of real world problems, before the underlying rules and concepts were identified and defined as abstract structures. For example, geometry has its origins in the calculation of distances and areas in the real world; algebra started with methods of solving problems in arithmetic.
1 day ago · In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle ) is equal to the sum of the areas of the squares on the other two sides.
- The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).
- Theorem
1 day ago · v. t. e. The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales.
3 days ago · The techniques involved often come from other areas of mathematics, most notably algebraic geometry: the solutions to a Diophantine equation can be viewed as special points (points with integer coordinates) on a larger geometric object like a curve or surface, cut out by the real or complex solutions to the same equation. For example, the ...
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May 6, 2024 · Trigonometry, the branch of mathematics concerned with specific functions of angles. There are six functions commonly used in trigonometry: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). Learn more about trigonometry in this article.
1 day ago · Let’s see some examples of geometric problems that we can solve using the properties of vectors. Example 1: Using Vectors to Find the Coordinates of a Vertex in a Rectangle. 𝐴 𝐵 𝐶 𝐷 is a rectangle in which the coordinates of the points 𝐴, 𝐵, and 𝐶 are ( − 1 8, − 2), ( − 1 8, − 3), and ( − 8, 𝑘) respectively.
