.
. centre de ressources dilemmes et doutes le visage humain de mathématiques Qui sommes-nous Problème de mois activités de promotion babillard
Centrale des maths - centraledesmaths.uregina.ca
Dilemmes & doutes
« D & D »
. .
topic card  

Sujet:

ellipse

liste de
sujets
. .
nouvelle recherche

52 articles trouvés pour ce sujet.
 
Page
1/1
exercice! 2005-09-28
Un eleve pose la question :
soit x et y deux nomres réels telque:
1 ≤ x2-x*y+y2 ≤ 2
1) Montrer que: 2/9 ≤ x4+y4 ≤ 8
2) Montrer que: x2*n+y2*n ≥ 2/32*n telque n est un nombre entier naturel et n≥3.

Chris Fisher lui répond.
An arch in the form of a semi-ellipse 2020-04-20
Anggelica pose la question :
an arch in the form of a semi-ellipse is 8 feet wide at the base and has a height of 4ft. how wide is the arch 1foot above the base?
Penny Nom lui répond.
A semi ellipse 2017-07-25
Ian pose la question :
The arch of the bridge is in the shape of semi ellipse,with its major axis at the water level.suppose the arch is 20ft. High in the middle,and 120 ft. Across its major axis. How high above the water level is the arch,at a point 20 ft.from the center (horizontally). Round of 2 decimal places
Penny Nom lui répond.
A deck that is half an ellipse 2016-02-28
Steve pose la question :
On your website, I was reading a question and your response from a girl named Angela in which you provided a formula by which her father, a welder, could figure out points on an arc corresponding to equal 3' intervals on a 30' chord where the vertex was 1' off the chord. Is there an equivalent formula when working with an ellipse? I suspect this change will make the calculations significantly more complex. I am building a deck that is half an oval, and would like to be able to mark out the perimeter by measuring the distance from regular intervals on the primary access to a corresponding point on the perimeter. I will then connect the points on the perimeter and cut a reasonably smooth arc. The length of the primary access will be 22' and width of the deck at the vertex is 9'. I would like to be able to know the distance from the primary axis to a point on the perimeter at equal intervals of 6" along the primary axis. Can you help?
Penny Nom lui répond.
Slicing through a cone to form an ellipse 2013-08-06
Pulkit pose la question :
we get an ellipse on slicing through a cone. Is there a relation between central axis of the cone and this ellipse?
Does it pass through the any of the foci of the ellipse?

Chris Fisher lui répond.
A curve in 3-space 2013-02-14
pardeep pose la question :
we have to show that the curve r(t)=(cos t)i+(sin t)j+(1-cos t)k ,0<=t<=2pie; is an ellipse by showing it to an intersection of a right circular cylinder and a plane. i got the eqn. of the cylinder but did not get the eqn of plane.
Harley Weston lui répond.
A sundial on an elliptical cylinder 2009-07-22
Leo pose la question :
I want to build a sundial where the shadow falls on an elliptical cylinder. I can calculate the coordinates of the points on the cylinder that I want to mark. My problem is that I will have to make the surface as a flat sheet and bend it into an elliptical shape. However, I cannot work out a scheme to transfer the coordinates I know into a distance that will work when I bend the shape. Help!
Robert Dawson lui répond.
The center of an ellipse 2009-04-21
Nae pose la question :
what is the ellipse center of 5x^2+3y^2=15
Stephen La Rocque lui répond.
A cross-sectional area 2008-11-13
David pose la question :
I am doing a science project examining the tensile strength of seaweed fronds. I need to calculate the cross-sectional area from the major and minor diameters of the elliptical central axis of the seaweed frond. What formula would I use to get this. The strength of the segments is expressed in terms of cross-sectional area of the frond at the test site.
Penny Nom lui répond.
An arch is in the form of a semi ellipse 2008-11-03
jessica pose la question :
An arch in the form of a semi ellipse has a span of 10 meters and a central height of 4 m. Find the heights of the arch at a point of 3 meters from the semi minor axis.
Penny Nom lui répond.
Does an oval have sides? 2008-10-02
reid pose la question :
My 6 yo neice came home with her math homework and she was supposed to identify which objects had sides.One of the objects was an oval.I don't believe it has sides because it is curved and I don't think that would make it an object with sides.What would be the correct answer?Thanks,Reid
Janice Cotcher lui répond.
Eccentricity of an Elliptical Orbit 2008-08-20
Gina pose la question :
A satellite has an elliptical orbit around the earth with one focus at the earth’s center, E. The earth’s radius is 4,000 miles. The highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. What is the eccentricity of the satellite’s orbit?
Janice Cotcher lui répond.
An ellipse and circle with the same area 2008-06-09
Michael pose la question :
The area of the ellipse if equal to the area of a circle with radius=40 ft. Find the values of a and b using appropriate algebraic techniques, not basic math computations. A=pi ab and satisfy the constraint a+b=100????
Penny Nom lui répond.
The standard form of an ellipse 2008-04-30
Rebecca pose la question :
I have to write the following equation into standard form of an ellipse:

9(X-1)^2 + (Y+1)^2 = 1

Stephen La Rocque and Harley Weston lui répond.
The surface area of an ellipse 2008-02-25
paritosh pose la question :
how is the surface area of a elliptical dome be calculated when the two diameters are 55 metres and 35 metres and the height of the structure is 13.4 mts?
Harley Weston lui répond.
Can't find circumference of an ellipse 2007-07-06
Michele pose la question :
I need to figure the circumference of an oval and I know the height and width.
Penny Nom lui répond.
Finding the center of an ellipse 2007-06-20
Sima pose la question :
find the center of the ellipse with the equation 3x^2 +4y^2+18x-32y-5=0
Penny Nom lui répond.
The circumference of an ellipse 2007-05-25
Graham pose la question :
I have an ellipse that I need to find the circumference of. It is 40ft at its longest point and 25ft at its shortest
Penny Nom lui répond.
Comparing the areas of various shapes 2007-05-16
Kathy pose la question :
If the perimeters are the same, which has the greater area, a circle, a square, an ellipse, or an octagon?
Stephen La Rocque lui répond.
The foci of an ellipse 2007-03-27
Brad pose la question :
I am trying to figure out how to find the foci of an ellipse x^2/7 + y^2/16 = 1. Since 16 is the largest denominator I know the major axis is going to be the y axis. Do I now take 7-c^2=16. c^2=16-7, c^2=9, c=3. So is my foci (0,+-3).
Penny Nom lui répond.
A circle is stretched horizontally by a factor of 2 2007-03-07
bob pose la question :
I was wondering if you could double check my work?

the question is as follows:
The circle X^2+y^2-2x-3= 0 is stretched horizontally by a factor of 2 to obtain an ellipse what is the equation of this ellipse in general form?

Penny Nom lui répond.
The area of a ellipse 2007-01-25
Ranjit pose la question :
I have a task in which i have to find the area of a ellipse. i find this difficult because i have only been provided with the perimeter, which is 1000m.
Chris Fisher lui répond.
How do I determine the length of an ellipse if the width and area are known? 2007-01-04
Tom pose la question :
How do I determine the length of an ellipse if the width and area are known?
Steve La Rocque and Karen McIver lui répond.
Conic sections 2006-11-19
Joyce pose la question :
My son has a project on conic sections. I need the following information on Parabola, Circle, ellipse,and hyperbola. He can't find the following information for each conic section: equations with explanations, four uses for each shape and Shape explanation.
Penny Nom lui répond.
Some applications of conic sections 2006-11-13
Burt pose la question :
how are circles, ellipses, and hyperbolas used in everyday life
Penny Nom lui répond.
The area of an oval 2006-10-08
Bruce pose la question :
area of an oval: 60" x 120"
Stephen La Rocque lui répond.
The focus of a parabola 2006-10-01
Lily pose la question :
I have a mathematical assignment which includes applications of parabolas, hyperbolas and ellipses in the real world. I have been searching the internet and now I am ware that most of the applications of parabolas have a connection with what people call "the focus". However, I do not think I clearly understand what "the focus" of a parabola is. Would you please explain it to me?
Penny Nom lui répond.
The perimeter of a pool 2006-06-05
Troy pose la question :
How many Linear feet would a pool be if the pool was 18 by 38 foot oval
Penny Nom lui répond.
A cone with an oval as base 2006-03-01
Richard pose la question :
I am trying to find the volume of a cone that is not round but oval.
Penn Nom lui répond.
Elliptic trigonometry 2005-09-15
Krystal pose la question :
I'm currently searching for a science project topic and i have the idea of deriving elliptic trigonometry analogous to circular trigonometry. My questions are: Is this project "possible" to do?
Chris Fisher and Harley Weston lui répond.
The equation of an ellipse 2005-07-17
Allan pose la question :
I working on a problem that asks me to give the equation of an ellipse when only the location of the directrix and the length of the latus rectum are given. No other points on the ellipse are given. Again, the only "givens" are:

Length of latus rectum = 12
Location of directrix is x = 16

If I could determine the eccentricity, I could proceed from there by taking the ratio of the distance from a focus to the latus rectum point to the distance of the point from the directrix, but I lack the x coordinate of c. I've searched the text, and feel I've "missed something" somewhere! I note that the latus rectum segment is unique in one respect in that it is parallel to the directrix, where any other line segment on the ellipse to the focus would not be. Please indicate where I'm going wrong.

Chris Fisher lui répond.
The circumference of an oval pool 2005-05-18
John pose la question :
I have an oval pool of which I am trying to find the circumference. it is 38 feet long and 19 feet wide
Penny Nom lui répond.
Quadratics 2005-01-05
Usman pose la question :
Hi, in my Grade 11 Functions math class we have been assigned the task of finding jobs and careers related to quadratics, I have done many searches but have been unsuccessful, then I saw your website and e-mailed. I also have to use an example of a math problem that the job uses, then solve it, this will all compile on bristol board for a presentation. I would greatly appreciate it if you could send me some links and references of sources that refer to this subject.
Harley Weston lui répond.
An elliptical table 2005-01-03
Roger pose la question :
Want to make an elliptical table, say the long (major) axis is 4 feet, and the short (minor) axis is 3 feet. I can construct this figure, but I'm trying to figure out what the exact dimension of a rectangle within this ellipse will be if I make the table a drop leaf type where the drop dimensions are equal for each end of both the long and short axes. Intuitively, it looks like there is one and only one solution.
Penny Nom lui répond.
An elliptic cone 2004-02-24
Ben pose la question :

I am building a model for my architecture class. I need to build a elliptic cone out of chipboard and i have no idea how to do this.

The cone needs to be 20in tall and the ellipse has a max radius of 10in and a min radius of 8in.

So my question is how do i lay this out on a piece of paper so that i can form the cone after i cut it out.


Penny Nom lui répond.
An elliptical race track 2003-12-16
Judy pose la question :
the inner rail of a race track is a perfect ellipse. the track is a standard width all the way around. how can i prove that the outer rail is a ellipse?
Penny Nom lui répond.
Uses of conic sections 2003-04-01
William pose la question :
My name is William and I am doing a research paper on conic sections for my 12th grade math class. Part of the project is to find two conic sections in our world today and explain what there purpose is. I really need help in this area because I've been searching the internet for where conic sections are used in our world today and I really can't find anything. If you can tell me specific building or a pyramid that contains conic sections that would be great. Or even something in the universe would be helpful.
Leeanne Boehm lui répond.
The intersection of conics 2002-12-19
Glenda pose la question :
We are studying systems of equations where two conic sections are the two equations that we are solving simultaneously. We were studying the number of solutions that are possible if you have an ellipse and a parabola. We all agree that there can be none, one, two, three or four solutions. The question that the students had for me was whether or not a portion of an ellipse and a parabola can overlap and thereby allow an infinite number of solutions. What should I tell them?
Chris Fisher and Harley Weston lui répond.
A paper model of a cone 2002-08-14
Bruce pose la question :
I have made a paper model of a cone, cut a sloping section, and removed the top. I have drawn the major and minor axis on the paper surface of the section. The major axis is not symmetrical about the minor axis. To me, this is not an ellipse. To me, an ellipse is a tubular section, because this gives a symmetrical major axis. What is your opinion?
Walter Whiteley and Chris Fisher lui répond.
A polygon inscribed within an ellipse - Part 2 2002-07-08
Steven pose la question :
I recently sought your advice about a problem that I have been working on for eight years or so concerning a polygon inscribed within an ellipse. I think that I may have confused matters by the way in which I put the question and hope that the enclosed diagram will clear matters up. In the ellipse below I have drawn three chords inscribed within one quadrant ( this would pertain to a twelve sided figure within the whole ellipse). These chords are exactly the same length as each other, for example if the major axis of the ellipse was 360 and the minor axis 240 I have worked out that a twelve sided figure would have sides of 78.2487. However I worked this out empirically with a method that could only be described as gruelling I would be most grateful if you could tell me of a method that would work for any ellipse and any number of sides.
Chris Fisher lui répond.
An equalateral polygon inscribed within an ellipse 2002-06-30
Steven pose la question :
How would you calculate the length of one of the sides of an equalateral polygon (of n sides) inscribed within an ellipse ( of any eccentricity ) where all of the vertices exactly touch the perimeter of the ellipse?

I know that when the eccentricity is zero ( i.e a circle ) the formula: r * (sin(180/n) * 2) will suffice. But what about when the eccentricity is greater than zero?


Chris Fisher lui répond.
A cone in 3 space 2002-03-20
Matthew pose la question :
Let C in R3 be the cone defined by x2 + y2 - z2 = 0

(A) Let P be the plane described by x + 2z = 1

(i) Find a description of P in terms of two parameters s and t

.
.
.

Walter Whiteley lui répond.
The perimeter of an ellipse 2002-02-14
Harry pose la question :
I am planning to build a coffe table with an ellipse of 24x36 for the top. I wish to decorate the edge and need to know the lenght of the perimeter for lay out purposes. Is there an easy way to approximate this figure with out using intergal calculus?
Penny Nom lui répond.
An egg shaped island 2001-09-22
Karen pose la question :
I am a civil engineering designer trying to design an egg shaped island. I want a 30' radius at the top and a 40' radius at the bottom and the longest length of the egg to be 125'. Is there standard geometry for an egg shape? I am not held to exact radii or the length given.
Chris Fisher lui répond.
Arclength of an ellipse 2001-07-03
A hobbyist pose la question :
What is the equation (with the length of the arc as a variable) for one quadrant of the ellipse,...
Claude tardif lui répond.
The diameter of an oval 2001-05-23
Tim pose la question :
Is there a such thing as a diameter of a oval? If not, is there a way to get the circumference?
Claude Tardif and Penny Nom lui répond.
Circles, ellipses, parabolas and hyperbolas 2001-05-09
Colleen pose la question :
How is an ellipse like a circle?
In what way does an ellipse have a center?
How is a hyperbola similar and different to an ellipse?
How is a parabola similar a different to a circle ellipse and parabola?

Pnny Nom lui répond.
An elliptic tunnel 2001-03-24
Janna pose la question :
A tunnel is built under a river for a road 12m wide with a 2m sidewalk on either side. The top of the tunnel is semi-elliptical. A local bylaw stipulates that there must be a clearance of at least 3.6m at all points on the road. If the smallest possible ellipse is used, find the clearance at the center of the road.
Harley Weston lui répond.
Area of an ellipse 2000-05-02
Kaushal Shah pose la question :
How do I Calculate the area of a ellipse known the length of any related thing. Example, suppose if I know the length of latus rectum, major&minor axis etc.
Walter Whiteley lui répond.
Perimeter of an ellipse 2000-02-21
Kurtis Proffit pose la question :
What is the formula for the perimeter or circumference of an ellipse?
Chris Fisher lui répond.
Cleaning an Ellipse 1999-07-29
Mark Salter pose la question :
Hello hope some one can help. We need to clean an elipse and then paint it. We need to know the square foot of the job and the job is an elipse which rises 2 ft. is 12 ft wide and is 36 ft long.
Harley Weston lui répond.
Foci of an Ellipse 1997-01-22
David Gilliam pose la question :
How do I find the focii of the following equation? 4x^2 + 9y^2 = 36
Harley Weston lui répond.
 
Page
1/1

 

 


Centrale des maths reçoit une aide financière de l’Université de Regina et de The Pacific Institute for the Mathematical Sciences.

CMS
.

 

accueil centre de ressources accueil Société mathématique du Canada l'Université de Regina PIMS