## tangents

Noun

- plural form of
*tangent*

- In another question connected with this, the problem of drawing
**tangents**to any curve, Descartes was drawn into a controversy with Pierre (de) Fermat (1601-1663), Gilles Persone de Roberval (1602-1675), and Girard Desargues (1593-1661). - In projective geometry it may be defined as the conic which intersects the line at infinity in two real points, or to which it is possible to draw two real
**tangents**from the centre. - A diameter is a line through the centre and terminated by the curve: it bisects all chords parallel to the
**tangents**at its extremities; the diameter parallel to these chords is its conjugate diameter. - The rules then are sine of the middle part = product of
**tangents**of adjacent parts = product of cosines of opposite parts. - With increase of speeds this matter has become important as an element of comfort in passenger traffic. As a first approximation, the centre-line of a railway may be plotted out as a number of portions of circles, with intervening straight
**tangents**connecting them, when the abruptness of the changes of direction will depend on the radii of the circular portions.

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