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counter-clockwise

ˌcounter-ˈclockwise, a. and adv. [counter prep. + clock + -wise.] In a direction counter to that of the movement of the hands of a clock.1888 [see clock-wise s.v. clock n.1 11]. 1890 C. A. Young Elem. Astron. §24. 16 All the stars appear to move in concentric circles around a point near the Pole-sta... Oxford English Dictionary

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Why do the Planets in our Solar System Orbit the Sun Counter-Clockwise?

Do the laws of physics dictate that all planet orbit their respective stars counter clockwise or is it possible to have a solar system where the planets are in a clockwise motion around their star? — David. Answer: Most of the objects in our solar system, including the Sun, planets, and asteroids, all rotate counter-clockwise. This is due to ...

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counter-clockwise

counter-clockwise/ˌkauntə ˈklɔkwaɪz; ˌkaʊntɚ`klɑk-ˌwaɪz/ adv(US) = anti-clockwise. 牛津英汉双解词典

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Finding the counter-clockwise direction of points in 3d I have a set of 5 points of a polygon in 3d. I want to order these points in a counter-clockwise direction. How do I do this? In 2d, to check if two points are ...

Given 3 points $A, B, C$. Take the cross product $AB \times AC$. This gives you the normal vector to the plane. If this normal vector points to you, then $A, B, C$ is in a counter clockwise position. You can check if this vector is pointing away from or towards you by taking the dot product of that ...

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Ordering vertices in counter-clockwise manner in 3D space. This is my first question in math and if I cannot get it right for the first time, please forgive me. I'm working on a simulation and I need to order vertices...

If you know from the start that the triangles form a _triangulation_ of an orientable surface (i.e. any two triangles are either disjoint, have a vertex in common, or have an edge in common, and the triangles having a given vertex in common share edges in a cyclic way) then you can pick one of the t...

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What formula will tell if three vertices in 3d space are ordered clockwise or counter-clockwise from the point of view of a camera? Assuming 3 ordered vertices in 3d space and a camera looking toward those points. Wha...

Assuming the camera is at the origin, consider the $3\times 3$ matrix with column vectors equal to the three point vectors. The sign of the determinant of this matrix tells you the orientation.

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Graph of a function invariant under the counter-clockwise rotation for $90^\circ$ around the origin > Let $S\subseteq\Bbb R$. Assume a function $f: S\to S$ has these properties: > > With a $90^\circ$ counter-clockwis...

**Alert: just a long comment with the purpose of giving a visual insight** * * * According to the post itself and what @conditionalMethod has already stated, let $r_O:\Bbb R^2\to\Bbb R^2$ be our rotation for $90^\circ$ around the origin $O(0,0)$, then: $\color{brown}{r_O:(x,f(x))\mapsto (-f(x),x))}$...

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3D Equivalent of Clockwise and Counter-Clockwise? As an example say I have some 2D points which are formed into a polygon: ![enter image description here]( The order of sequential points may be clockwise or counter-...

You can define if a line (edge connecting two points) has a counterclockwise (positive) or clockwise (negative) moment with respect to a rotation axis. For the planar equivalent the rotation axis is coming out of the plane. You do this with the triple product. Let's say the rotation axis is $\vec{z}...

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(PDF) Tuned Propulsion System · 2018-03-28 - dokumen.tips

Tuned Propulsion System · 2018-03-28 · Identify the clockwise and counter-clockwise marks on the propellers and mount the powertrains onto the corresponding positions of the airframe

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How to tell if 3 connected points are connected clockwise or counter-clockwise? I have three points: p1(x1,y1) p2(x2,y2) and p3(x3,y3). I am connecting p1 to p2 to p3. how can I tell if the triangle was drawn clockwi...

If the points $(x_1\mid y_1); (x_2\mid y_2); (x_3\mid y_3)$ are in anticlockwise order, then $\begin{vmatrix} x_1&y_1&1\\\ x_2&y_2&1\\\ x_3&y_3&1\\\ \end{vmatrix}\gt 0$ . If clockwise, then $\lt 0$ . If in a line, then $=0$ . As for your second question, select one of the points and call it $P_1$. F...

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Optimization path avoiding a set of points I have a random polygon, convex or non-convex, defined by its vertices and two random points outside of the polygon (A and B) all of them defined in ${\rm I\\!R}^{2}$, how ca...

I would think you can use the convex hull generated by $A$, $B$ and the polygon. Clearly then $A$, $B$ are located on the boundary of the convex hull. Then $A$, $B$ dissect the boundary in 2 parts. Choose the part which is shorter than the other.

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Direction of Contour Integration When I'm using the residue theorem to evaluate a contour integral, does the simply closed curve always have to be in a counter-clockwise direction? I believe that I can go in a clockwi...

Reversing the orientation changes the sign of the result. This is visible when you change the contour integral to a normal integral: $$\oint_{\gamma}f(z)dz=\int^b_af(z(t))z^{\prime}(t)dt=-\int_b^af(z(t))z^{\prime}(t)dt$$ This can be done with higher dimensions, too.

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Does the orientation you evaluate line integrals matter? !enter image description here If instead of evaluating the above line integral in counter-clockwise direction, I evaluate it via the clockwise direction, would...

Direction does not matter for the line integral of a function, but here you are dealing with a work integral (i.e. the integral of a vector field along the curve). In the latter case, orientation does matter. The statement of Green's Theorem includes (or it should, to make sense) the orientation req...

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Are dilation and rotation the same thing in Mobius transformation? Speaking of Möbius transformation, I think a rotation counter-clockwise by $\theta$ is actually a dilation by a magnitude of $e^{-i\theta}$. Is this c...

Actualy multiplying by $e^{i\theta}$ produces a counter-clockwise rotation by $\theta$ radiants.

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How to rotate two vectors (2d), where their angle is larger than 180. The rotation matrix $$\begin{bmatrix} \cos\theta & -\sin \theta\\\ \sin\theta & \cos\theta \end{bmatrix}$$ cannot process the case that the angle b...

The matrix $M(\theta)$, where $$M(\theta) = \left[ \begin{array}{cc} \cos\theta & -\sin\theta \\\ \sin\theta & \cos\theta \end{array}\right]$$ Can take any value of $\theta$ whatsoever. For example, let $\theta = 270^{\circ}$ then we have $\sin\theta = -1$ and $\cos\theta =0$ giving $$M(270^{\circ})...

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counter-clockwise

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counter-clockwise

Why do the Planets in our Solar System Orbit the Sun Counter-Clockwise?

counter-clockwise

Finding the counter-clockwise direction of points in 3d I have a set of 5 points of a polygon in 3d. I want to order these points in a counter-clockwise direction. How do I do this? In 2d, to check if two points are ...

Ordering vertices in counter-clockwise manner in 3D space. This is my first question in math and if I cannot get it right for the first time, please forgive me. I'm working on a simulation and I need to order vertices...

What formula will tell if three vertices in 3d space are ordered clockwise or counter-clockwise from the point of view of a camera? Assuming 3 ordered vertices in 3d space and a camera looking toward those points. Wha...

Graph of a function invariant under the counter-clockwise rotation for $90^\circ$ around the origin > Let $S\subseteq\Bbb R$. Assume a function $f: S\to S$ has these properties: > > With a $90^\circ$ counter-clockwis...

3D Equivalent of Clockwise and Counter-Clockwise? As an example say I have some 2D points which are formed into a polygon: ![enter image description here]( The order of sequential points may be clockwise or counter-...

(PDF) Tuned Propulsion System · 2018-03-28 - dokumen.tips

How to tell if 3 connected points are connected clockwise or counter-clockwise? I have three points: p1(x1,y1) p2(x2,y2) and p3(x3,y3). I am connecting p1 to p2 to p3. how can I tell if the triangle was drawn clockwi...

Optimization path avoiding a set of points I have a random polygon, convex or non-convex, defined by its vertices and two random points outside of the polygon (A and B) all of them defined in ${\rm I\\!R}^{2}$, how ca...

Direction of Contour Integration When I'm using the residue theorem to evaluate a contour integral, does the simply closed curve always have to be in a counter-clockwise direction? I believe that I can go in a clockwi...

Does the orientation you evaluate line integrals matter? !enter image description here If instead of evaluating the above line integral in counter-clockwise direction, I evaluate it via the clockwise direction, would...

Are dilation and rotation the same thing in Mobius transformation? Speaking of Möbius transformation, I think a rotation counter-clockwise by $\theta$ is actually a dilation by a magnitude of $e^{-i\theta}$. Is this c...

How to rotate two vectors (2d), where their angle is larger than 180. The rotation matrix $$\begin{bmatrix} \cos\theta & -\sin \theta\\\ \sin\theta & \cos\theta \end{bmatrix}$$ cannot process the case that the angle b...