diameter

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Related to diametral: Diametral Pitch

diameter

a. a straight line connecting the centre of a geometric figure, esp a circle or sphere, with two points on the perimeter or surface
b. the length of such a line

Diameter

 

The diameter of a circle is the chord that passes through the center of the circle. Moreover, the diameter of a circle is the length of this chord, equal to two radii.

In analytic geometry the diameter of a conic section (or of a curve of the second order) is understood to mean the straight line that passes through the midpoints of a set of parallel chords. For central curves of the second order (circles, ellipses, hyperbolas) this is the straight line passing through the center of the curve. In the case of the parabola, all diameters are parallel to its axis.

The concept of the diameter of a circle as the length of a segment is applied to other geometric figures and to sets of a more general nature. The diameter of a figure (or a set in metric space) is precisely the upper bound of the distances between all possible pairs of points of this figure. In this sense, the diameter of an ellipse is equal to the length of the semimajor axis, and the diameter of a square is equal to the length of its diagonal.

diameter

[dī′am·əd·ər]
(mathematics)
A line segment which passes through the center of a circle, and whose end points lie on the circle.
The length of such a line.
For a conic, any straight line that passes through the midpoints of all the chords of the conic that are parallel to a given chord.
For a set, the smallest number that is greater than or equal to the distance between every pair of points of the set.

diameter

The diameter of a graph is the maximum value of the minimum distance between any two nodes.
References in periodicals archive ?
Adopt a regular program of diagnostic and visual inspection to detect buildup and avoid measurement errors due to diametral reduction.
This investigation was designed to examine the effects of the following two independent variables on the setting time, porosity, diametral tensile strength (DTS), and HA formation of the experimental cements: (1) The concentration of [NaH.
Figure 4 can be used to determine the time ti for interference between the liner and the host pipe for arbitrary diametral reductions AD in the UltraPipe reduction process.
The value of the diametral contraction [Eta] was experimentally determined in previous studies by the author (1, 5, 6).
Key words: calcium hydroxyapatite; calcium phosphate cement; cement liquids; diametral tensile strength: hardening time: octacalcium phosphate.
0] = Initial diametral area of the sintering particles ([m.
The initial outer diameter of the extrudate is set equal to the finished pipe diameter, diametral shrinkage being neglected.
The radius of milling cutters must be supplied to the control if the CNC's diametral cutter compensation feature is to be used.
Diametral tensile strength (DTS), porosity, and phase composition (powder x-ray diffraction) were determined after the set specimens have been immersed in a physiological-like solution (PLS) for 1 d, 5 d, and 10 d.
One part required 27 involute splines (30 index), 11 diametral pitch, 30 deg pressure angle, 2.
Diametral tensile and flexural strength (MPa) of bis-GMA/TEGDMA (1:1 by mass) composites with varying amounts of a silica filler Silane coupling Silica-filler Diametral tensile strength agent volume fraction (%) 24 h MPTMS 67 57 (3) (a) MDTMS 67 62 (3) MDTMS 71 61 (3) MDTMS 74 64 (3) Silane coupling Flexural strength agent 24 h 2 wk MPTMS 100 (10) 80 (4) MDTMS 103 (16) 95 (8) MDTMS 118 (13) 105 (9) MDTMS 137 (7) -- (a) Numbers in parentheses indicate one standard deviation as an estimate of the standard uncertainty.
49", teeth numbering from 5 to 400, diametral pitch from 12.