Joan of Arc

(noun)

Considered a heroine of France for her role during the Lancastrian phase of the Hundred Years' War; canonized as a Roman Catholic saint. 

Related Terms

Examples of Joan of Arc in the following topics:

  • The Hundred Years' War

    • Joan of Arc is considered a heroine of France for her role during the Lancastrian phase of the Hundred Years' War, and was canonized as a Roman Catholic saint.
    • Joan of Arc was born to Jacques d'Arc and Isabelle Romée, a peasant family, at Domrémy, in northeast France.
    • Joan of Arc was beatified in 1909 and canonized in 1920.
    • Joan of Arc (1412–1431) was born a peasant and became a heroine of France.
    • Discuss the three phases of conflict in the Hundred Years' War and Joan of Arc's role in it

  • Area and Arc Length in Polar Coordinates

    • Area and arc length are calculated in polar coordinates by means of integration.
    • Since it can be very difficult to measure the length of an arc linearly, the solution is to use polar coordinates.
    • Using polar coordinates allows us to integrate along the length of the arc in order to compute its length.
    • The arc length of the curve defined by a polar function is found by the integration over the curve $r(\theta)$.
    • Evaluate arc segment area and arc length using polar coordinates and integration

  • Arc Length and Speed

    • Arc length and speed are, respectively, a function of position and its derivative with respect to time.
    • The arc length is the length you would get if you took a curve, straightened it out, and then measured the length of that line .
    • The arc length can be found using geometry, but for the sake of this atom, we are going to use integration.
    • The arc length is approximated by connecting a finite number of points along and curve, connecting those lines to create a a string of very small straight lines, and adding them together.
    • The arc length is the equivalent of taking a curve, straightening it out, and then measuring it, as seen in this animation.

  • Components of a Reflex Arc

    • The path taken by the nerve impulses in a reflex is called a reflex arc.
    • Most reflex arcs involve only three neurons.
    • There are two types of reflex arcs:the  autonomic reflex arc, affecting inner organs, and the somatic reflex arc, affecting muscles.
    • When a reflex arc consists of only two neurons, one sensory neuron, and one motor neuron, it is defined as monosynaptic.
    • The path taken by the nerve impulses in a reflex is called a reflex arc.

  • Arc Length and Speed

    • The length of the curve is called the arc length.
    • In order to calculate the arc length, we use integration because it is an efficient way to add up a series of infinitesimal lengths.
    • Arc lengths can be used to find the distance traveled by an object with an arcing path.
    • The arc length is calculated by laying out an infinite number of infinitesimal right triangles along the curve.
    • Calculate arc length by integrating the speed of a moving object with respect to time

  • Arc Length and Curvature

    • The curvature of an object is the degree to which it deviates from being flat and can be found using arc length.
    • The curvature of an arc is a value that represents the direction and sharpness of a curve .
    • The curvature of the arc at point P can be found by obtaining the limit:
    • In order to use this formula, you must first obtain the arc length of the curve from points P to Q and length of the linear segment that connect points P and Q.
    • Explain the relationship between the curvature of an object and the arc length

  • Angular Position, Theta

    • We define the rotation angle$\Delta \theta$ to be the ratio of the arc length to the radius of curvature:
    • The arc length Δs is the distance traveled along a circular path. r is the radius of curvature of the circular path.
    • We know that for one complete revolution, the arc length is the circumference of a circle of radius r.
    • The arc length Δs is described on the circumference.
    • All points on a CD travel in circular arcs.

  • Radians

    • The length of the arc around an entire circle is called the circumference of that circle.
    • An arc length $s$ is the length of the curve along the arc.
    • Note that the length of the intercepted arc is the same as the length of the radius of the circle.
    • (b) An angle of 2 radians has an arc length $s=2r$.
    • An arc of a circle with the same length as the radius of that circle corresponds to an angle of 1 radian.

  • Arc Length and Surface Area

    • Infinitesimal calculus provides us general formulas for the arc length of a curve and the surface area of a solid.
    • Determining the length of an irregular arc segment is also called rectification of a curve.
    • The length $s$ of the part of the graph of $f$ between $x = a$ and $x = b$ can be found as follows.
    • If a curve is defined parametrically by $x = X(t)$ and y = Y(t), then its arc length between $t = a$ and $t = b$ is:
    • For a circle $f(x) = \sqrt{1 -x^2}, 0 \leq x \leq 1$, calculate the arc length.

  • References

    • Principles of Language Teaching and Learning (2nd Ed.).
    • Learning strategy applications with students of English as a second language.
    • Rubin, Joan (1975).