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23h
answered Gravitational fields
May
11
comment A construction using straightedge and compass
@rschwieb , see my solution below.
May
11
revised A construction using straightedge and compass
deleted 6 characters in body
May
11
answered A construction using straightedge and compass
May
11
awarded  Caucus
Jan
28
revised Show that $x^{8}+5x^{2}=1$ has exactly $2$ real roots
fixed grammar, improved formatting
Jan
28
answered Show that $x^{8}+5x^{2}=1$ has exactly $2$ real roots
Jan
27
comment Reflection of a line on complex plane
@K.Stm The problem is in both translations. First subtract $\frac{c}{a}$ and at last add $\frac{c}{a}$.
Jan
27
comment Constructing a triangle given three concurrent cevians?
@F'Ola. Did that answer help you in anyway?
Jan
26
answered What will be the slope of $BC$?
Jan
26
asked Eliminating $\theta$ from the system
Jan
25
revised Constructing a triangle given three concurrent cevians?
fixed grammar
Jan
25
answered Constructing a triangle given three concurrent cevians?
Jan
16
answered Different ways to work out the normal in the Frenet frame
Jan
13
answered a geometry problem about inscribed and circumscribed circle radius.
Jan
12
comment I am trying to solve the inequality $\log_{\log{\sqrt{9-x^2}}} x^2 <0$
@Ahmed. You're welcome:)
Jan
12
answered Polynomial approximation of circle or ellipse
Jan
11
answered I am trying to solve the inequality $\log_{\log{\sqrt{9-x^2}}} x^2 <0$
Jan
11
comment How can I find the curves in the problem?
@zjk. As regards to the figure, it was drawn using Geogebra.
Jan
11
comment How can I find the curves in the problem?
@zjk. As regards to $\dfrac{d \vec {r}}{d \theta}$, if you define two points $M$ and $M'$ as $M = O + \vec {r}(\theta)$ and $M' = O + \vec{r}(\theta + \Delta \theta)$ you will get a straight line defined by $MM'$ which is a secant line of the curve $\rho = f(\theta)$. When $\Delta \theta \to 0$, then $M' \to M$ and the line defined by $MM'$ approaches to a tangent line. So if you calculate $\dfrac {d \vec{r}}{d \theta} = \lim_{\Delta \theta \to 0}\frac{\vec {r}(\theta + \Delta \theta)-\vec {r}(\theta)}{\Delta \theta}$, you will ge a tangent vector to the curve at point $M$.