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## trigonometrical |

2 definitions found From Webster's Revised Unabridged Dictionary (1913) [web1913]: Trigonometric \Trig`o*no*met"ric\, Trigonometrical \Trig`o*no*met"ric*al\, [Cf. F. trigonom['e]trique.] Of or pertaining to trigonometry; performed by the rules of trigonometry. --{Trig`o*no*met"ric*al*ly}, adv {Trigonometrical curve}, a curve one of whose co["o]rdinates is a trigonometric function of the other {Trigonometrical function}. See under {Function}. {Trigonometrical lines}, lines which are employed in solving the different cases of plane and spherical trigonometry, as sines, tangents, secants, and the like These lines, or the lengths of them are trigonometrical functions of the arcs and angles to which they belong. {Trigonometrical survey}. See under {Survey}. From Webster's Revised Unabridged Dictionary (1913) [web1913]: Note: Co["o]rdinates are of several kinds, consisting in some of the different cases, of the following elements, namely: a (Geom. of Two Dimensions) The abscissa and ordinate of any point, taken together; as the abscissa PY and ordinate PX of the point P (Fig. 2, referred to the co["o]rdinate axes AY and AX b Any radius vector PA (Fig. 1), together with its angle of inclination to a fixed line APX, by which any point A in the same plane is referred to that fixed line and a fixed point in it called the pole, P. c (Geom. of Three Dimensions) Any three lines, or distances, PB PC PD (Fig. 3), taken parallel to three co["o]rdinate axes, AX AY AZ and measured from the corresponding co["o]rdinate fixed planes, YAZ, XAZ, XAY, to any point in space, P, whose position is thereby determined with respect to these planes and axes. d A radius vector, the angle which it makes with a fixed plane, and the angle which its projection on the plane makes with a fixed line line in the plane, by which means any point in space at the free extremity of the radius vector is referred to that fixed plane and fixed line and a fixed point in that line the pole of the radius vector. {Cartesian co["o]rdinates}. See under {Cartesian}. {Geographical co["o]rdinates}, the latitude and longitude of a place by which its relative situation on the globe is known The height of the above the sea level constitutes a third co["o]rdinate. {Polar co["o]rdinates}, co["o]rdinates made up of a radius vector and its angle of inclination to another line or a line and plane; as those defined in b and d above. {Rectangular co["o]rdinates}, co["o]rdinates the axes of which intersect at right angles. {Rectilinear co["o]rdinates}, co["o]rdinates made up of right lines. Those defined in a and c above are called also {Cartesian co["o]rdinates}. {Trigonometrical} or {Spherical co["o]rdinates}, elements of reference, by means of which the position of a point on the surface of a sphere may be determined with respect to two great circles of the sphere. {Trilinear co["o]rdinates}, co["o]rdinates of a point in a plane, consisting of the three ratios which the three distances of the point from three fixed lines have one to another.