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- https://math.libretexts.org/Courses/Chabot_College/Math_in_Society_(Zhang)/02%3A_Geometry/2.01%3A_Basic_Geometric_Concepts_and_FiguresYou use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using ...You use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using geometric terms to make sense of the environment around you. In the world of mathematics, each of these geometric terms has a specific definition. It is important to know these definitions—as well as how different figures are constructed—to become familiar with the language of geometry.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_For_Liberal_Art_Students_2e_(Diaz)/06%3A_Geometry/6.01%3A_Basic_Geometric_Concepts_and_FiguresYou use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using ...You use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using geometric terms to make sense of the environment around you. In the world of mathematics, each of these geometric terms has a specific definition. It is important to know these definitions—as well as how different figures are constructed—to become familiar with the language of geometry.
- https://math.libretexts.org/Courses/Mission_College/MAT_04C_Linear_Algebra_(Kravets)/01%3A_Systems_of_Linear_Equations/1.04%3A_VectorsWe have been drawing points in Rⁿ as dots in the line, plane, space, etc. We can also draw them as arrows. Since we have two geometric interpretations in mind, we now discuss the relationship between...We have been drawing points in Rⁿ as dots in the line, plane, space, etc. We can also draw them as arrows. Since we have two geometric interpretations in mind, we now discuss the relationship between the two points of view.
- https://math.libretexts.org/Bookshelves/Geometry/Geometry_with_an_Introduction_to_Cosmic_Topology_(Hitchman)/04%3A_Geometry/4.01%3A_The_BasicsThe reader who has seen group theory will know that in addition to the three properties listed in our definition, the group operation must satisfy a property called associativity. In the context of tr...The reader who has seen group theory will know that in addition to the three properties listed in our definition, the group operation must satisfy a property called associativity. In the context of transformations, the group operation is composition of transformations, and this operation is always associative. So, in the present context of transformations, we omit associativity as a property that needs checking.
- https://math.libretexts.org/Courses/Las_Positas_College/Math_for_Liberal_Arts/09%3A_Geometry/9.01%3A_Lines_and_AnglesIn this example, you may have noticed that angles ∠HJI, ∠IJF, and ∠HJM are all right angles. (If you were asked to find the measurement of ∠FJM, you would find that angle to be 90º, too.) This is what...In this example, you may have noticed that angles ∠HJI, ∠IJF, and ∠HJM are all right angles. (If you were asked to find the measurement of ∠FJM, you would find that angle to be 90º, too.) This is what happens when two lines are perpendicular—the four angles created by the intersection are all right angles.
- https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/04%3A_R/4.03%3A_Lines_and_Planes/4.3E%3A_Exercises_for_Section_4.3This page discusses exercises on vector and parametric equations for lines in three-dimensional space, including examples, exercises to identify points and directions, and a final exercise proving int...This page discusses exercises on vector and parametric equations for lines in three-dimensional space, including examples, exercises to identify points and directions, and a final exercise proving intersection of lines from triangle vertices to midpoints, calculating the intersection point's coordinates.
- https://math.libretexts.org/Courses/Irvine_Valley_College/Math_26%3A_Introduction_to_Linear_Algebra/01%3A_Systems_of_Linear_Equations/1.03%3A_VectorsPictures: vector addition, vector subtraction, linear combinations, an inconsistent system of equations, a consistent system of equations, spans in R2 and R3. When we think...Pictures: vector addition, vector subtraction, linear combinations, an inconsistent system of equations, a consistent system of equations, spans in R2 and R3. When we think of a point in Rn as a vector, we will usually write it vertically, like a matrix with one column: Another way to think about a vector is as a difference between two points, or the arrow from one point to another.
- https://math.libretexts.org/Courses/Santiago_Canyon_College/HiSet_Mathematica_(Lopez)/12%3A_Geometria/12.01%3A_Conceptos_geometricos_basicos_y_figurasUtilizas términos geométricos en el lenguaje cotidiano, muchas veces sin pensarlo. Por ejemplo, cada vez que dices “caminar por esta línea” o “cuidado, este camino rápidamente se orienta hacia la izqu...Utilizas términos geométricos en el lenguaje cotidiano, muchas veces sin pensarlo. Por ejemplo, cada vez que dices “caminar por esta línea” o “cuidado, este camino rápidamente se orienta hacia la izquierda”, estás usando términos geométricos para darle sentido al entorno que te rodea. En el mundo de las matemáticas, cada uno de estos términos geométricos tiene una definición específica. Es importante conocer estas definiciones —así como cómo se construyen diferentes figuras— para familiarizarse
