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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/Courses/De_Anza_College/Calculus_IV%3A_Multivariable_Calculus/03%3A_Vector_Calculus/3.04%3A_Greens_Theorem/3.4E%3A_ExercisesThese are homework exercises to accompany Chapter 16 of OpenStax's "Calculus" Textmap.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Quantitative_Problem_Solving_in_Natural_Resources_(Moore)/03%3A_Spatial_Reasoning/3.02%3A_New_PageIf we can use a clinometer (a device for determining the angle between horizontal and a sight-line to an object of interest) to determine the sight-line angles to the object of interest p from two dif...If we can use a clinometer (a device for determining the angle between horizontal and a sight-line to an object of interest) to determine the sight-line angles to the object of interest p from two different places b1 and b2, and we know the distance between those places l, we can use trigonometry and algebra to determine the desired height H.
- https://math.libretexts.org/Courses/Nova_Scotia_Community_College/MATH_1043/07%3A_Geometry/7.02%3A_TrianglesA triangle is formed when three straight line segments bound a portion of the plane, The line segments are called the sides of the triangle. A point where two sides meet is called a vertex of the tria...A triangle is formed when three straight line segments bound a portion of the plane, The line segments are called the sides of the triangle. A point where two sides meet is called a vertex of the triangle, and the angle formed is called an angle of the triangle, The symbol for triangle is △ .
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_375%3A_Pre-Calculus/01%3A_Triangles_and_Circles/1.02%3A_TrianglesIn this section, you will delve into triangles, exploring key concepts like the Triangle Sum Theorem, classifications based on angles and sides, and the significance of the Pythagorean Theorem. Specia...In this section, you will delve into triangles, exploring key concepts like the Triangle Sum Theorem, classifications based on angles and sides, and the significance of the Pythagorean Theorem. Special focus is given to special right triangles and their properties, enriched with practical examples and checkpoints to solidify understanding. This foundational knowledge sets the stage for deeper exploration of Trigonometry.
- 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/Rio_Hondo/NBAS022_-_Review_of_Geometry_Part_A/02%3A_Lines_Angles_and_Triangles/2.05%3A_TrianglesA triangle is formed when three straight line segments bound a portion of the plane, The line segments are called the sides of the triangle. A point where two sides meet is called a vertex of the tria...A triangle is formed when three straight line segments bound a portion of the plane, The line segments are called the sides of the triangle. A point where two sides meet is called a vertex of the triangle, and the angle formed is called an angle of the triangle, The symbol for triangle is △ .
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/01%3A_Triangles_and_Circles/1.02%3A_TrianglesIn this section, you will delve into triangles, exploring key concepts like the Triangle Sum Theorem, classifications based on angles and sides, and the significance of the Pythagorean Theorem. Specia...In this section, you will delve into triangles, exploring key concepts like the Triangle Sum Theorem, classifications based on angles and sides, and the significance of the Pythagorean Theorem. Special focus is given to special right triangles and their properties, enriched with practical examples and checkpoints to solidify understanding. This foundational knowledge sets the stage for deeper exploration of Trigonometry.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/01%3A_Triangles_and_Circles/1.02%3A_TrianglesIn this section, you will delve into triangles, exploring key concepts like the Triangle Sum Theorem, classifications based on angles and sides, and the significance of the Pythagorean Theorem. Specia...In this section, you will delve into triangles, exploring key concepts like the Triangle Sum Theorem, classifications based on angles and sides, and the significance of the Pythagorean Theorem. Special focus is given to special right triangles and their properties, enriched with practical examples and checkpoints to solidify understanding. This foundational knowledge sets the stage for deeper exploration of Trigonometry.
- 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.
