What is Rectangular: Definition and 477 Discussions

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square. The term oblong is occasionally used to refer to a non-square rectangle. A rectangle with vertices ABCD would be denoted as ABCD.
The word rectangle comes from the Latin rectangulus, which is a combination of rectus (as an adjective, right, proper) and angulus (angle).
A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals (therefore only two sides are parallel). It is a special case of an antiparallelogram, and its angles are not right angles and not all equal, though opposite angles are equal. Other geometries, such as spherical, elliptic, and hyperbolic, have so-called rectangles with opposite sides equal in length and equal angles that are not right angles.
Rectangles are involved in many tiling problems, such as tiling the plane by rectangles or tiling a rectangle by polygons.

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  1. Y

    Help with conversion from rectangular to spherical coordinates

    This is not a homework. Actual this is part of my own exercise on conversion where \vec A = \vec B \;X\; \vec C and I intentionally set up B and C so the \theta_B \hbox { and } \theta_C \;=\; 60^o \; respect to z-axis: \vec B_{(x,y,z)} = (2,4, 2\sqrt{(\frac 5 3)}) \;\;\hbox { and }\;\...
  2. Phrak

    Rectangular wave guide, TE01 mode

    Rectangular wave guide, TE01 mode I'm looking for the equations of the electric and magnetic fields over the volume of the rectangular guide. I've managed what appear to be the correct equations for the electric field, E_y = sin\left(\frac{2\pi z}{\lambda_z}-\omega t\right)...
  3. J

    What is the net force on a rectangular loop near a long straight conductor?

    Homework Statement a rectangular loop of sides 25 cm and 10 cm carrying a current 15 A is placed with its longer side parallel to a long straight conductor 2 cm apart carrying a current of 25 A.what is the net force on loop? Homework Equations The Attempt at a Solution
  4. K

    Rectangular Potential and Constraints

    Hey all, A friend asked me for help the other day on his QM homework. The problem regards a rectangular potential U(x) = \begin{cases} V_0 & -a \leq x \leq a \\ 0 & \text{otherwise} \end{cases}, \qquad E<V_0 I thought about this for a while and checked a few textbooks. If we solve this in a...
  5. S

    Degeneracy in a rectangular box

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  6. N

    Find Fourier Transform of Rectangular Pulse w(t)

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  7. P

    Best way to get a large rectangular magnifying mirror

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  8. F

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  9. K

    Solve for dimensions of rectangular prism given inertia

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  10. B

    Electromagnetism: cylindrical or rectangular coordinates.

    Hi. Sorry my spelling, because I am not English. Homework Statement In a sphere truncated sector with an angle of 60 degrees, there is a uniform charge distribution, \rho. Calculate the electric field in (0,0,0). The sector starts in z=a and ends in z = b. The sphere center is in (0,0,0)...
  11. C

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  12. S

    Rectangular Vectors From angle and magnitude

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  13. T

    Investigating Magnetic Force on a Rectangular Loop

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  14. H

    Solving Particle Incident on Rectangular Barrier

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  15. Z

    Proving a Right-Angled Triangle in a Rectangular Hyperbola | Homework Question

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  16. A

    Rectangular Loop and Torque

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  17. C

    Force from a rectangular loop of wire?

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  18. M

    Natural convection in a rectangular enclosure

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  19. Ƒ

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  20. Ƒ

    How do I convert the rectangular equation x+y = 1 to parametric equations?

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  21. S

    Special relativity: rectangular box moving 0.5c

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  22. T

    Converting A Polar Equation to Rectangular Form; Equation of a Circle

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  23. T

    Converting A Polar Equation to Rectangular Form

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  24. A

    Rectangular Pulse on a Transmission Line

    Homework Statement In Fig a line is used to produce a short rectangular pulse of width 12ns and peak value 800V. With S-2 open. S-1 is closed to charge the line to Vdc; after charging, S-1 is opened. Then, at t = 0, S-2 is closed to discharge the line through RR and form the pulse. Find the...
  25. S

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  26. A

    Rectangular and Polar Coordinates with variables

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  27. D

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  28. T

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  29. V

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  30. r-soy

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  31. r-soy

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  32. H

    Rectangular container optimization

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  33. M

    Current Through Resistor in Rectangular Loop

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  34. K

    How do I derive T (transmission) in a rectangular potential barrier with E > V0?

    Barrier potential, E> V0 V(X) = 0 ( x < 0 ) = V0 ( 0 < x < a ) = 0 ( x> a ) Psi(x)1 = Aexp[ik1x] + B exp[-ik1x] Psi(x)2 = Cexp[ik2x] + D exp[-ik2x] Psi(x)3 = Fexp[ik1x] + G exp[-ik1x] ( K3= K1 so I put k1 ) and G = 0 because there is no reflection, I used B.C...
  35. D

    Moment of Inertia of a uniform rectangular coil

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  36. S

    Transmission Coefficient of a Rectangular Square Potential Barrier

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  37. E

    Compute flux through rectangular area

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  38. T

    Maximize volume of a rectangular box

    Homework Statement Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + y + 4z = 4 Homework Equations Volume of a box with L being the length of a diagonal in that box = L3/(3sqrt3) Shortest...
  39. C

    Magnetic Field of rectangular current loop

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  40. S

    Quantum Tunneling Probability for a rectangular barrier

    Hey everyone, For my a research project on quantum tunneling I have to tie in math somehow, so I was wondering if anyone could help me learn to calculate the probability of a wave (preferably like an electron or electrical voltage) of some sort passing through a rectangular barrier, which is...
  41. D

    Rectangular Potential well if hbar -> 0

    Rectangular Potential well if hbar --> 0 Hi, I have a very simple question: My professor said that if \hbar \rightarrow 0 in the transmission coefficient does not yield 0 (case E < V0) as classical results would expect. I think the correct transmission coefficient is solved in Wikipedia...
  42. D

    Boundary Conditions for Rectangular Vibrating Membrane

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  43. T

    How to calculate section constants for rectangular tubes?

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  44. T

    Division with the rectangular form

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  45. V

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  46. M

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  47. B

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  48. K

    Predicted deflection of a rectangular steel beam

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  49. F

    Solving the Acceleration of a Rectangular Block on a Triangular Block

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  50. T

    Natural frequencies of rectangular membranes

    Hello physicsforums members, I am an engineering student at Purdue University and am currently conducting research with regards to ribbon transducers. A ribbon transducer consists of a rectangular element of metal foil suspended within a magnetic gap (ie free at the sides) and...
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