(1) Note that this curvature is the inverse of the radius of a circle tangent to the neutral line at this point.

(2) We can never fit a straight tangent line to the curve at the point.

(3) Smooth infinitesimal analysis embodies a concept of intensive magnitude in the form of infinitesimal tangent vectors to curves.

(4) However, Newton's approach, based on a decomposition of motion along the tangent and along the normal to the orbital curve, was missing an essential ingredient.

(5) The discussion then went off on a tangent , to the question of how many spheres of equal size could rotate around a central ball of the same size.

(6) The chair went one way, she went another the and keyboard headed off at a completely different tangent .

(7) Therefore, we say the gradient of the tangent line is 2x, although in this case we knew that already.

(8) To understand this notion fully requires understanding tangent spaces, computing with vector fields, and working with bracket products of vector fields.

(9) The line of fall is the line tangent to the trajectory at the level point.

(10) The midpoints of segments AM lie directly on the tangent lines.

(11) Construct two tangent circles 1 and 2 and the line L through their centers.

(12) Now the tangent line is much easier to visualize. Notice that the tangent line is at a right angle to the aiming line.

(13) In addition, each circle is divided into 8 regions, by adding 3 tangent circles.

(14) He breaks off, perhaps uncomfortable with this line of questioning, and scoots off at a tangent .

(15) Water contact angle refers to the angle between the tangent plane of the liquid surface and the tangent plane of the solid surface at any point along the line of contact.

(16) Instead, we use the radical plane, defined by the property that any point on it will have equal lengths of tangent line segments to the two atoms.

(17) And so the corporates have inevitably led the Internet and its hopes on a different, money-based tangent leaving the dreamers behind, a little richer and a little wiser.

(18) And yes you can have a tangent of a tangent , although it requires the first one to be a curve in the plane perpendicular to the original circle [although some people may argue about the maths of this].

(19) In 1802 he gave the first solution to the problem of describing in a triangle three circumferences that are mutually tangent , each of which touches two sides of the triangle, the so-called Malfatti problem.

(20) First, the writer needs to get his facts straight before he goes off on a tangent like that.