arbitrary point in a sentence

Examples

1. P is an arbitrary point on the parabola . is perpendicular to the directrix, and the line bisects angle " FPT . Q is another point on the parabola, with perpendicular to the directrix.
2. :: : That's a limitation with the mathematics of probability, and does not preclude the concept of choosing an arbitrary point from the plane ( especially for subsets of finite area ).
3. For a regular simple " n "-gon with circumradius " R " and distances " d i " from an arbitrary point in the plane to the vertices, we have
4. If the PoF is to pass through more than one arbitrary point, the tilt and focus are fixed, and the lens " f "-number is the only available control for adjusting sharpness.
5. For arbitrary points A and B, we can let A be ( 1, 0, 0 ) and B be ( x, y, 0 ) with y e " 0 without loss of generality.
6. It thus makes sense to define the hyperbolic angle from " P " 0 to an arbitrary point on the curve as a logarithmic function of the point's value of " x ".
7. The state highway reaches its eastern terminus at an arbitrary point east of Race Road in a business park adjacent to MD 100's interchange with MD 295 ( Baltimore & ndash; Washington Parkway ) in Hanover.
8. In geometry, "'Barrow's inequality "'is an distances between an arbitrary point within a triangle, the vertices of the triangle, and certain points on the sides of the triangle.
9. Doing a substring using padright is about as intensive as doing a substring normally would be-the limitation is that you have to start the substring from position 0, rather than an arbitrary point within the string.
10. Coroutines are more restricted than goto, as they can only " resume " a currently running coroutine at specified points  continuing after a yield  rather than jumping to an arbitrary point in the code.