Intereting Posts

Find the indefinite integral $\int {dx \over {(1+x^2) \sqrt{1-x^2}}} $
What is $\int_0^1 \ln (1-x) \ln \left(\ln \left(\frac{1}{x}\right)\right) \, dx$?
Sum $\displaystyle \sum_{n=i}^{\infty} {2n \choose n-i}^{-1}$
Ordinal tetration: The issue of ${}^{\epsilon_0}\omega$
Prove that the set of all algebraic numbers is countable
Distribution of sums of inverses of random variables uniformly distributed on
finding right quotient of languages
How do I verify the energy conservation rate for the total energy?
Calculating run times of programs with asymptotic notation
Can someone explain me this summation?
Proving that the number $\sqrt{7 + \sqrt{50}} + \sqrt{7 – 5\sqrt{2}}$ is rational
Sinc function derivative formula
Ramsey Number proof: $R(3,3,3,3)\leq 4(R(3,3,3)-1) + 2$
restriction of scalars, reference or suggestion for proof
Transcendental Extensions. $F(\alpha)$ isomorphic to $F(x)$

I’m tinkering with a bit of graphics software.

I want to be able to nudge the value of a single angle in a polygon, then redraw the new polygon.

The intersection point of the two lines creating the angle will change, and their lengths will change, but I can’t work out how to calculate the new coordinates.

- Correspondence between eigenvalues and eigenvectors in ellipsoids
- How many times are the hands of a clock at $90$ degrees.
- Hydrostatic pressure on an equilateral triangle
- Elementary geometry from a higher perspective
- How do I get a tangent to a rotated ellipse in a given point?
- Metric on a Quotient of the Riemann Sphere

All other intersections in the polygon will be unchanged as to position. (Obviously, the angles of the adjacent corners shall have to be modified as well as the corner that I explicitly “nudge.”)

In summary:

**Find the coordinates of the point of intersection of two lines, given a single coordinate pair for each line and the measure of the angle of intersection.**

Geometrically I think there will be more than one possible coordinate pair for any angle other than $180$ degrees. If I can choose the coordinate pair nearest to the previous coordinate pair, I think that would give the result I seek. But, I’d be happy just to know what general approach to take.

This problem is not the same as finding intersection for lines where both slopes are known.

- How is $r(\theta) = \sin \frac\theta2$ symmetric about the x-axis?
- in normed space hyperplane is closed iff functional associated with it is continuous
- Definition of $\operatorname{arcsec}(x)$
- Prove by induction: $\sum\limits_{k=1}^{n}sin(kx)=\frac{sin(\frac{n+1}{2}x)sin\frac{nx}{2}}{sin\frac{x}{2}}$
- Simplest way to calculate the intersect area of two rectangles
- Area formula for cyclic pentagon?
- Finding the Limit $\lim_{x\to 0} \frac{\sin x(1 - \cos x)}{x^2}$
- cutting a cake without destroying the toppings
- Prove that $\vert\sin(x)\sin(2x)\sin(2^2x)\cdots\sin(2^nx)\vert < \left(\frac{\sqrt{3}}{2}\right)^n$
- What is the exact and precise definition of an ANGLE?

The point of intersection cannot be uniquely determined. This is because of the “angle in the same segment” theorem. See below.

- Does a complex number multiplication have a geometric representation and why?
- “Truncated” metric equivalence
- Prove Intersection of Two compact sets is compact using open cover?
- Comb space has no simply connected cover
- Number of monic irreducible polynomials of prime degree $p$ over finite fields
- How to integrate $\int x\sin {(\sqrt{x})}\, dx$
- Computing the expectation of conditional variance in 2 ways
- Prove that $\displaystyle \sum_{1\leq k<j\leq n} \tan^2\left(\frac{k\pi}{2n+1}\right)\tan^2\left(\frac{j\pi}{2n+1}\right)=\binom{2n+1}{4} $
- Prove a Poincare-Like Inequality
- Derivative of function with 2 variables
- coordinates of icosahedron vertices with variable radius
- Follow-up regarding right-continuous $f:\mathbb{R} \to\mathbb{R}$ is Borel measurable
- Correspondence theorem for rings.
- Derivative of a factorial
- Is the expected value of a random variable always constant?