In geometry, the mean line segment length is the average length of a line segment connecting two points chosen uniformly at random in a given shape. In...

theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse...

curves and is referred to as arclength. In a triangle, the length of an altitude, a line segment drawn from a vertex perpendicular to the side not passing...

corresponding set is a convex set). The mean width of a line segment L is the length (1-volume) of L. The mean width w of any compact shape S in two dimensions...

segments, the geometric mean of these segment lengths is the length of the altitude. This property is known as the geometric mean theorem. In an ellipse...

geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge opposite...

mean of x and y, which in the above example is 40 km/h. Average speed for the entire journey = ⁠Total distance traveled/Sum of time for each segment⁠...

endpoint to the semicircle with a segment perpendicular to the diameter. The length of the resulting segment is the geometric mean. This can be proven by applying...

for which a line segment between any two points has the same length as a grid path between those points rather than its Euclidean length. The taxicab...

a diameter (which refers to the line segment itself), because all diameters of a circle or sphere have the same length, this being twice the radius r ...

straight line segment joining the leading edge and trailing edge of an aerofoil cross section parallel to the direction of the airflow. The chord length is...

unequally bisected line but to imagine further bisecting each of the two segments. Socrates explains that the four resulting segments represent four separate...

yellow line, with a ratio of 1:3 of segment length to space length, indicates that crossing it to overtake is allowed. When there is a combined line, all...

any point of the circle and the centre is called the radius. The length of a line segment connecting two points on the circle and passing through the centre...

Philippines. For the Müller-Lyer illusion, the mean fractional misperception of the length of the line segments varied from 1.4% to 20.3%. The three European-derived...

circle and intersect at a point P that is not on the circle, then the line segment lengths satisfy AP⋅PB = CP⋅PD. If the point P lies inside the circle this...

it with additional structure. It can be swept as a ruled surface by a line segment rotating in a rotating plane, with or without self-crossings. A thin...

as follows: A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to...

algebraic terms, doubling a unit cube requires the construction of a line segment of length x, where x3 = 2; in other words, x = 2 3 {\displaystyle {\sqrt[{3}]{2}}}...

endpoints of the arc (see diagram in circular segment); In a rooted tree, the height of a vertex is the length of the longest downward path to a leaf from...

|AH|^{2}=|BA||AC|} . Thus the claim is that the length of the segment AH is the geometric mean of the lengths of the segments BA and AC. Now (see Figure) the triangle...

triangle, the length of a cathetus is the geometric mean of the length of the adjacent segment cut by the altitude to the hypotenuse and the length of the whole...

prevailing method of estimating the length of a border (or coastline) was to lay out n equal straight-line segments of length l with dividers on a map or aerial...

geometric mean of a and b). For this purpose it is possible to use the following: if one draws the circle with diameter made from joining line segments of lengths...

markings on it. It can only be used to draw a line segment between two points or to extend an existing line segment. The compass can have an arbitrarily large...

{\displaystyle r} is constructible if and only if, given a line segment of unit length, a line segment of length | r | {\displaystyle |r|} can be constructed with...

^{2}}{\sqrt {5}}},{\tfrac {\varphi }{\sqrt {5}}}\right)} ; the length of line segment ⁠ U V ¯ {\displaystyle {\overline {UV}}} ⁠ is equal to altitude...

hypotenuse is the geometric mean (mean proportional) of the two segments of the hypotenuse.: 243  Each leg of the triangle is the mean proportional of the hypotenuse...

sphere) divides the line segment connecting the sphere's center to the hemisphere's pole in half. Chebyshev center Circular mean Fréchet mean k-means algorithm...

refers to the extent to which a segment or group of customers represents a sufficient size to be profitable. This could mean being sufficiently large in number...