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Browse College HigherDimensional Geometry
Stars indicate particularly interesting answers or
good places to begin browsing.
 Finding the Center of Three Latitude/Longitude Points [07/27/2005]

If I have three known points (lat/long), how do I get the center point
in latitude/longitude coordinates?
 Finding the Circumcenter of a Sphere [09/24/2003]

How can I find the circumcenter of a sphere given 3 points on the
sphere, along with the radius?
 Finding the Equation of a Globe [6/29/1996]

There is a globe that has 2 points given, P(14/3/8) , Q(2/3/16); the
center of the globe C is on the line g...what is the equation of the
globe?
 Finding the Surface Area of Rocks [10/5/1995]

I am attempting to determine the surface area of rocks (812 mm diameter)
I'm using in a bacterial incubation experiment. The closest reference I
have found is to calculate the surface area of a sphere and use
correction factor to estimate the surface area. Are there any citations I
can look up?
 Find the Bearing [01/17/2003]

Is there a formula to find the bearing of one point from another on a
2D map (or graph) just using normal coordinate systems?
 Find the Cities [06/19/2001]

Given the latitudes and longitudes of Detroit, MI, and Miami, FL, find
every city within 10 miles of a straight line between them.
 Formula for Radial Latitudes and Longitudes [10/15/2002]

I want to make a radius search tool that returns all places based on
latitude/longitude within a certain radius of a given place.
 Formula for the Curvative of a Curve [10/10/2002]

Is there a formula or theorem I can use to convince someone who
believes a wall has only side that there is another side to it?
 Formulas for NDimensional Spheres [10/26/2000]

What is the next term in the sequence pi*r^2, (4/3)pi*r^3, ...? Would it
be the formula for the volume of a 4dimensional sphere?
 Frustum of a Pyramid with a Rectangular Base [02/20/2002]

I am an engineer with a water treatment agency and need to figure the
amount of water per foot of elevation in our reservoirs...
 GPS Formula [11/27/2002]

How can I calculate the position from 3 points (or more) in latitude
longitude format?
 Great Circle Parametric Equation [05/25/1998]

How can you calculate specific points of a great circle on a sphere? Can
you help me find the parametric equation?
 How Far Do the Birds Fly? [08/12/2002]

I am a racing pigeon enthusiast, and one problem I wanted to solve for
myself and others in the sport is how to calculate the survey distance
our birds fly from point A to point B, where A is the release point
and B is the home loft of a returning bird.
 How Much Material on a Spool? [05/02/2007]

A reel of flat blade has an outer diameter of 1016 mm and an inner
diameter of 508 mm. The blade thickness is 20 mm. Could you tell me
the length of the blade and show me the formula for working it out?
 Ice Cream Cone Problem [02/27/2000]

What radius of a sphere of ice cream placed in a cone of height h and
base angle of 30 degrees will give the most volume of ice cream inside
the cone, as opposed to above the cone?
 Inclination of an Ellipse's Major Axis ... in Three Dimensions? [01/09/2011]

An astronomer seeks the least number of points required to uniquely determine an
ellipse, given one focus at the origin, in order to subsequently calculate the inclination
of its major axis. Doctor George outlines the method, simplifies it, reviews the
astronomer's resulting JavaScript code  then addresses an extension into three
dimensions.
 Information About Topology [11/12/1996]

Where can I learn more about topology?
 Intersecting Circles in 3 Space [04/19/2006]

I have two circles defined by P1 = C1 + R1cos(t)U + R1sin(t)V and
P2 = C2 + R2cos(s)U + R2sin(s)V. How can I find where they intersect?
 Intersection Between Circle and Plane in 3D [05/03/2006]

I am trying to find the intersection point(s) between a circle and a
plane in 3D space.
 Intersection of a Hyperplane and an Ellipsoid [07/02/2007]

Is the intersection of an ellipsoid in R^p with a plane in R^{p1}
also an ellipsoid in R^{p1}?
 Intersection of Ellipsoid and Plane [05/04/2007]

I need to find the general equation of the ellipse resulting from the
intersection of an ellipsoid and a plane. When I solve the system of
two equations, I wind up with an xy term and need to know how to
eliminate that from the final equation of the ellipse.
 Intersection of Line and Triangle in 3D Space [11/30/2003]

For a 3D game, I need to determine if a given ray does or does not
intersect (or pass through) a given threesided polygon in space.
 Intersection of Three Spheres [06/05/2003]

How do you find the intersection of three spheres?
 Intersection of Two Spheres [10/13/2003]

How can I find the equation of the circle that results from
intersecting two spheres?
 Klein Bottle Intersection [11/04/2002]

I would like a detailed description of the intersection domain in a
Klein bottle.
 Latitude and Longitude, GPS Conversion [12/07/2001]

What is the equation to convert latitude/longitude/altitude (LLA) data
into earthcentered/earthfixed (ECEF) data?
 Latitude and Longitude of a Point Halfway between Two Points [10/10/2001]

I would like to know how to determine the latitude and longitude of a
point halfway between New York and Los Angeles.
 Length of a Nautical Mile at a Given Latitude [11/06/2002]

I am trying to work out a formula for accurately predicting the exact
length of a nautical mile at any given latitude, in metres.
 Length of Material on a Cylindrical Roll [6/21/1996]

Is there a formula for calculating the length of material on a roll
knowing the roll diameter, the core diameter, and the material thickness?
 Location of Plane Flying on Great Circle [11/20/2003]

An aircraft flies from 60°N 030°W to 60°N 030°W following a great
circle. When 025°W is passed, what will the plane's latitude be?
 Longitude and Latitude to Determine Distance [5/21/1996]

Using longitude and latitude to determine distance in rectangular
coordinates.
 Mapping a Sphere to a Plane [11/28/2001]

Maps of the world are always distorted in some way when put on a flat map
instead of a globe. Why?
 Mathematics of Soap Bubbles [2/22/1995]

Do you know anything or can you direct me to someone who does know
something about the mathematics of soap bubbles?
 Maximum Difference, Longitude and Latitude [04/10/2001]

Find the maximum longitude and latitude difference between two points on
Earth 1000 kilometers apart.
 Measuring 3D Curvatures and Angles [10/21/2001]

What are solid angles and how are they measured? How and in what units
can we determine the curvature of a sphere? What is the relation between
solid angles and the spherical curves they create when they intersect a
sphere whose center is the same as the vertex?
 Measuring the Area of a Region of Sky [05/30/2003]

When I look through my telescope, what percentage of the sky am I
looking at?
 Minimize Distance between 3D Point Sets with Rotation and Translation [07/15/2007]

I need to fit two sets of 3D points (a, b, c... n) and (a', b',
c'...n') in such a way that the Euclidean distances between the point
pairs (a,a'), (b,b') ...(n,n') is minimum. I can apply only rotations
and translations but no scale changes.
 Minimizing the Surface Area of a Can [05/22/2000]

What coke can dimensions would use the least amount of aluminum while
still holding 375 ml?
 Monstrous Moonshine Conjecture [11/12/1998]

I've been reading about the monstrous moonshine conjecture. Can you
explain more on the j function and the Monster Group?
 Multidimensional Calculus and Vector Geometry [02/09/1999]

The depth of iron ore can be approximated by a plane...
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