Solution for finding the tangent plane of an ellipsoid which pass through a given line.

Central Conicoids (Part II) Equation of the Tangent Plane to the Ellipsoid Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y ...continues

I need to solve for s in the following equation

I need to solve for s. The difficulty here is I don't know how to show a 'divide' sign on my computer. I have to solve for s. s(tan47) = s(tan28) + 7s, with the portion on the right side of the equal sign divided by s. When solving for s, I did the following: 1. Dividing the right hand side of the equation by s, I g ...continues

prove a theorem(segment addition)

In a metric geometry, if A-B-C, P-Q-R,AB~PQ,and BC~QR, then AC~PR.

a metric geometry proof

In the taxi-cab plane show that ifA=(-5/2,2),B=(1/2,2), C=(2,2), P=(0,0), Q=(2,1) and R=(3,3/2)then A-B-C and P-Q-R. Show that line segment AB~toline segment PQ,line segment BC~line segmentQR, line segment AC~line segment PR. Sketch an appropriate picture.

Geometry Proof

Prove that line segment AB= line segment BA for any distinct points A and B in a metric geometry.

Betweenness and Elementary Figures

Let A = (x1,y1), B = (x2,y2), and C = (x,y) be three collinear points in the Euclidean Plane with x1

Betweenness and Elemetary Figures

If A=(4,7), B=(1,1), and C = (2,3) prove that A-C-B in the Taxicab Plane. Please help me to understand.

Plane Separation

If a set of points P1 and a set of points P2 are convex subsets of a metric geometry, prove that P1 intersects P2 is convex.

Plane Separation

If H1 is a half plane determined by the line l, prove that H1 has at least 3 noncollinear points. I need to understand this.

Plane Separation

IF set of points P1 and P2 are convex subsets of a metric geometry, prove that P1 union P2 is convex.