Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Plural form of secant.
Etymologies
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Examples

He also completed a table of logarithmic sines and tangents for the hundredth part of every degree to fourteen places of figures besides the index, with a table of natural sines to fifteen places, and the tangents and secants for the same to ten places; all of which were printed at Gouda in 1631 and published in 1633 under the title of _Trigonometria Britannica_
Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 "Brescia" to "Bulgaria"

The retardation of the sun's rays in passing through a clear atmosphere obviously depends on the depth penetrated; hence  neglecting the curvature of the atmospheric limit  the retardation will be as the secants of the zenith distances.

The distances at which it is heard vary as the secants of a circle, the radius in this case being a length which is the closest approach of the ear to the bell.
Cyclopedia of Telephony & Telegraphy Vol. 1 A General Reference Work on Telephony, etc. etc.

Copernicus gave the first simple demonstration of the fundamental formula of spherical trigonometry; Rheticus made tables of sines, tangents and secants {611} of arcs.

At other inclinations, the interval will be the difference of the secants from the secant of the inclination, or angle of refraction of the principal beam.
A History of Science: in Five Volumes. Volume III: Modern development of the physical sciences

Seated at the same table as herself was a skilful sailor, using logarithms, secants and cosecants, polar distances and hour angles, as if he were in some university classroom.

Representation and measures of angles; theory of sines, cosines, tangents, cotangents, secants, cosecants and versed sines of angles; establishment of a table of general formulæ of trigonometrical functions for future reference; construction of numerical tables of trigonometrical functions; solutions of triangles, right and oblique; mensuration; surveying, geodesy and navigation.
A Catalogue of the Officers and Students of The Furman University, for 1860'61

Diametrically opposite they merge again in the libertarian secant. 90 degrees in either direction are the secants where the Democratic and Republican parties and their supporters vacillate around milder tendencies towards either libertarianism (deregulation of business, individual liberty, decriminalization of vice, etc.) or totalitarianism (government control of the economy, regulation of private conduct, increased and expanded government power, etc.)

Fill in the blank: '' The lengths of the sides of any triangle are in a constant ratio relative to the ____ of the angles opposite those sides. '' (a) tangents (b) sines (c) cosines (d) secants (e) cotangents 18.
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