In geometry, the tangential angle of a curve in the Cartesian plane, at a specific point, is the angle between the tangent line to the curve at the given...

normal. Let φ be the angle of inclination of the tangent with respect to the x-axis; this is also known as the tangential angle. Then tan ⁡ φ = d y d...

In Euclidean geometry, an ex-tangential quadrilateral is a convex quadrilateral where the extensions of all four sides are tangent to a circle outside...

Irrational angle Phase (waves) Protractor Solid angle Spherical angle Subtended angle Tangential angle Transcendent angle Trisection Zenith angle This approach...

a point Tangent cone Tangent lines to circles Tangent vector Tangential angle Tangential component In "Nova Methodus pro Maximis et Minimis" (Acta Eruditorum...

curve is an equation that relates the tangential angle (φ) with arc length (s), where the tangential angle is the angle between the tangent to the curve at...

determinant of the ascending trajectory of the golf ball, with the tangential angle of the club head's swing arc at impact being a secondary and relatively...

_{0}^{2}}}\right),} where the arc length is measured from θ = θ0. The tangential angle of the lituus spiral can be determined using the formula ϕ = θ − arctan...

intrinsic quantities used most often are arc length s {\displaystyle s} , tangential angle θ {\displaystyle \theta } , curvature κ {\displaystyle \kappa } or...

^{4}t+{\sqrt {2}}\sin(t)\sin(2t)\right]^{\frac {3}{2}}}},} and the tangential angle is given by: ϕ ( t ) = π − arg ⁡ ( 2 − 1 − 2 ( 1 + 2 ) e i t − 1 )...

Tangential speed is the speed of an object undergoing circular motion, i.e., moving along a circular path. A point on the outside edge of a merry-go-round...

a tangential quadrilateral, the four angle bisectors meet at the center of the incircle. Conversely, a convex quadrilateral in which the four angle bisectors...

its internal angle bisectors are concurrent. This common point is the incenter (the center of the incircle). There exists a tangential polygon of n sequential...

length. These include: The Whewell equation relates arc length and the tangential angle. The Cesàro equation relates arc length and curvature. Coordinates...

implies that the polar tangential angle is ψ = n θ ± π / 2 {\displaystyle \psi =n\theta \pm \pi /2} and so the tangential angle is φ = ( n + 1 ) θ ± π...

is the magnitude of the force and φ is the angle between the curve at r and the x-axis (see tangential angle). Finally, the weight of the chain is represented...

opposite angles. The excenter of an ex-tangential quadrilateral lies at the intersection of six angle bisectors. These are the internal angle bisectors...

In Euclidean geometry, a tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within...

coordinates, and may be called the homogeneous tangential equation of the enveloped curve. Tangential equations are useful in the study of curves defined...

^{4}\theta }{a\left(\sin ^{2}(2\theta )+4\right)^{\frac {3}{2}}}}.} Tangential angle: ϕ ( θ ) = − arctan ⁡ ( 1 2 sin ⁡ ( 2 θ ) ) . {\displaystyle \phi (\theta...

Rankine's method or tangential angle method is an angular technique for laying out circular curves by a combination of chaining and angles at circumference...

where s is the arc length from a fixed point on the curve, φ is the tangential angle and κ is the curvature. If the curve is given in Cartesian coordinates...

has three internal angles, each one bounded by a pair of adjacent edges; the sum of angles of a triangle always equals a straight angle (180 degrees or π...

Polygamma functions Stream function, in two-dimensional flows Polar tangential angle of a curve Probability of ultimate ruin, in ruin theory Supergolden...

curve Spinode Square wheel Subtangent Tacnode Tangent Tangent space Tangential angle Torsion of curves Trajectory Transcendental curve W-curve Whewell equation...

curve. Let ψ denote the angle between the tangent line and the radius vector, sometimes known as the polar tangential angle. It is given by r = d r d...

arc. It can be uniform, with a constant rate of rotation and constant tangential speed, or non-uniform with a changing rate of rotation. The rotation around...

the vehicle in its current direction of motion is called a linear (or tangential during circular motions) acceleration, the reaction to which the passengers...

orthodiagonal quadrilateral (its diagonals are at right angles) and, when convex, a tangential quadrilateral (its sides are tangent to an inscribed circle)...

total for incidence at the critical angle. On that basis, Fig. 5 ought to show a fully reflected ray, and no tangential ray, for incidence at θc. But, due...