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Signs of trigonometric functions in each quadrant. In the above graphic, the words in quotation marks are a mnemonic for remembering which three trigonometric functions (sine, cosine, tangent and their reciprocals) are positive in each quadrant. The expression reads "All Science Teachers Crazy" and proceeding counterclockwise from the upper ...
In geometry, an orthant [1] or hyperoctant [2] is the analogue in n-dimensional Euclidean space of a quadrant in the plane or an octant in three dimensions. In general an orthant in n-dimensions can be considered the intersection of n mutually orthogonal half-spaces. By independent selections of half-space signs, there are 2 n orthants in n ...
The sign of trigonometric functions depends on quadrant of the angle. If − π < θ ≤ π {\displaystyle {-\pi }<\theta \leq \pi } and sgn is the sign function ,
When the axes are drawn according to the mathematical custom, the numbering goes counter-clockwise starting from the upper right ("north-east") quadrant. Similarly, a three-dimensional Cartesian system defines a division of space into eight regions or octants , [ 8 ] according to the signs of the coordinates of the points.
Homonymous denotes a condition which affects the same portion of the visual field of each eye. [4]Homonymous inferior quadrantanopia is a loss of vision in the same lower quadrant of visual field in both eyes whereas a homonymous superior quadrantanopia is a loss of vision in the same upper quadrant of visual field in both eyes.
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.
Edmund Gunter invented the cross bow quadrant, also called the mariner's bow, around 1623. [4] It gets its name from the similarity to the archer's crossbow . This instrument is interesting in that the arc is 120° but is only graduated as a 90° arc. [ 4 ]
The quadratrix of Tschirnhaus [2] is constructed by dividing the arc and radius of a quadrant in the same number of equal parts as before. The mutual intersections of the lines drawn from the points of division of the arc parallel to DA , and the lines drawn parallel to AB through the points of division of DA , are points on the quadratrix.