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.
CXosnider a rectangular loop carrying a current i as shown in teh figure. Point P is located a distance x from the cneter of the loop. Find an epxression for tha mgnetic field at P due to the current loop assuming that P is very far away.
WIth \mu = iA = iab obtain an expression similar to...
The dimensions of a closed rectangular box are measured as 70 centimeters, 50 centimeters, and 100 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.
Answer...
Hello
If you have r = 2\sin(2\theta) , how would you convert it to rectangular form? I tried doing this:
\sin(2\theta) = 2\sin\theta\cos\theta which means r = 4\sin\theta\cos\theta . Then I know that r^{2} = x^{2} + y^{2} . We know that x = r\cos\theta, y = r\sin\theta . But then I...
i know that the equation for rotational inertia of a hoop is different than the equation for a solid cylinder, but what is the equation for a rectangular cube in a hoop?
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Hi again! :smile:
A gardener has a rectangular vegetable garden which is 30m long and 12m wide. He traces to alleys x meters wide, similar to this:
_____________________
|________| x |________|
x___________ _________
|________| x |________|
Determine, with x, the area occupied by...
i started to work on a problem. A point on a plane is away from 3 sequential tips
of rectangular respectively 3, 4, 5 units. Find the area of rectangular. I have an image.
Good day everyone, I was wondering how would you determine the magnetic field within a square coil? My colleague and I are trying to write a lab up on tangent galvanometers, but all we can find are models with circular coils, and ours is square. Any help is appreciated.
Can someone help me with these problems? It's been bugging me i can't seem to solve it.
Lets assume T = theta
I can't seem to find a way to convert these polar equations into rectangular form.
r = 2 sin 3T
r = 6 / 2 - 3 sinT
If possible, can someone help me with this and list it...
Here is the problem:
Convert \int_{-1}^{1}\int_{-\sqrt{1 - y^2}}^{\sqrt{1 - y^2}}\;\ln\left(x^2\;+\;y^2\;+\;1\right)\;dx\;dy into polar coordinates.
Here is what I have:
\int_{0}^{2\pi}\int_{0}^{1}\;r\;\ln\left(r^2\;+\;1\right)\;dr\;d\theta
Is that the correct conversion? I could...
What happens when a rectangular loop is dropped into a field of uniform, magnetic field B extending to infinity?
The loop has a mass m and its resistance is R.
It has length L, breadth b, L tending to infinity.
Gravity is present in downward direction.
The loop is dropped such that emf is...
This is another question that I have think for very long hours but still find the solution to this question.I have my question in the attachment that followed.
i have think very long on this question but still can't figure out what is meant by the question.I have my question and my doubt on the attachment that followed.
How do i find the period of small oscillations and length of the equivalent simple pendulum, for a rectangular plate (edges a and b) suspended at its corner and oscillating in vertical plane?
T = 2pi (I/mgl)^1/2
i calculated l (length) to be (a^2 + b^2 )^1/2 ---(the diagonal) is this right...
How do i find using integrals, I of a rectangular plate with sides a and b with respect to side b?
I know i have to use the equation I = integral of (a^2 dm) and i know
density = m/ab but I'm having trouble figuring out the mass element. Can someone tell me what the mass element is? and...
I've used differentiation to find that a rectangular enclosure made up of a 100m fence should have four sides all 25m to be as large as possible. The function I get is 50x-x^2. As I said, differentiating this function gives me the largest area possible. But how would I go about finding how long...
Question:
(Note: p=rho and o=phi)
Convert p(1-2cos^2(o))=-psin^2(o) into cylindrical and rectangular coordinates and describe or sketch the surface.
The part that I don't know how to do is converting the spherical equation into cylindrical or rectangular coordinates. I know all the...
Question:
(Note: p=rho and o=phi)
Convert p(1-2cos^2(o))=-psin^2(o) into cylindrical and rectangular coordinates and describe or sketch the surface.
The part that I don't know how to do is converting the spherical equation into cylindrical or rectangular coordinates. I know all the...
Good evening. I'm having a little difficulty with the summation of rectangular areas when finding the area under a curve.
Question:
Using summation of rectangles, find the area enclosed between the curve y = x^2 + 2x and the x-axis from x=0 to x=3.
Well, I start by dividing the interval...
A robot has a rectangular prism for a body. The body is 10cm high, 2cm wide, 2cm long, has a mass of 1kg and it’s mass is uniformly distributed. An axle bisects the bottom face of the body. On each side of the body is a wheel that rotates on the axle. The wheels have a radius of 1cm and have no...
Can't seem to get my head round this question. Can anyone help please :smile:
A rectangular box with no lid is made from thin cardboard. The base is 2x centimetres long and x centimetres wide and the volume is 48 cubic centimetres. Show that the area, y square centimetres, of cardboard used...
can anyone help me derive the moment of inertia for a rectangular plate, area of ab, (with the axis through the center)? i know it ends up being (1/12)(M)(a^2+b^2) but when i try it, my a's and b's end up canceling... its craziness. also, when i try the sphere, instead of (2/5)MR^2, i...
"Hi, I have a question on max vol. q. Its invloved with multivariable calculus.
Q) Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid 9x^2+36y^2 + 4z^2 = 36.
What i did was i found the three x,y and z-intersection points...
This equation of a sphere in spherical coordinate form:
ρ = 4sinφcosθ converts very readily to (x-2)2 + y2 + z2 = 4 with very little effort.
Now this similar equation looks to me like it should also be a sphere, but I can't seem to get anywhere with it:
ρ =...
I think I'm lost in the ugly algebra, but I want to make sure.
A uniform rectangular plate is suspended at point P (top center of the rectangle), and swings in the plane of the paper about an axis through P. At what other point between P and O (center of the rectangle), along PO, could the...