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In the following equations, denotes the sagitta (the depth or height of the arc), equals the radius of the circle, and the length of the chord spanning the base of the arc. As 1 2 l {\displaystyle {\tfrac {1}{2}}l} and r − s {\displaystyle r-s} are two sides of a right triangle with r {\displaystyle r} as the hypotenuse , the Pythagorean ...
Arc length is the distance between two points along a ... To justify this formula, define the arc length as limit of the sum of linear segment lengths for a ...
In anatomy, the zygomatic arch (colloquially known as the cheek bone), is a part of the skull formed by the zygomatic process of the temporal bone (a bone extending forward from the side of the skull, over the opening of the ear) and the temporal process of the zygomatic bone (the side of the cheekbone), the two being united by an oblique suture (the zygomaticotemporal suture); [1] the tendon ...
The zygomaticus minor muscle is a muscle of facial expression. It originates from the zygomatic bone , lateral to the rest of the levator labii superioris muscle , and inserts into the outer part of the upper lip.
The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle. The angle θ is taken in the positive sense and must lie in the interval 0 < θ ≤ π (radian measure).
The zygomatic process forms an "L" in this picture. As a comparison, this is how the skull looks with almost all of the zygomatic process removed. The zygomatic processes (aka. malar) are three processes (protrusions) from other bones of the skull which each articulate with the zygomatic bone. The three processes are: [1]
A circular sector is shaded in green. Its curved boundary of length L is a circular arc. A circular arc is the arc of a circle between a pair of distinct points.If the two points are not directly opposite each other, one of these arcs, the minor arc, subtends an angle at the center of the circle that is less than π radians (180 degrees); and the other arc, the major arc, subtends an angle ...
This is a 2-d problem in span{^, ^}, which will be solved with the help of the arc length formula above. If the arc length, s 12 {\displaystyle s_{12}} is given then the problem is to find the corresponding change in the central angle θ 12 {\displaystyle \theta _{12}} , so that θ 2 = θ 1 + θ 12 {\displaystyle \theta _{2}=\theta _{1}+\theta ...