 # Our Euclidean Geometry Example will Make You Pro in Geometry!

Recent questions in Euclidean Geometry latinoisraelm1 2022-08-06

## If the very early Greeks has decided that the tangent line to a circle meets at a line segment, rather than a point, what simple contradiction about triangles could be proved? wendi1019gt 2022-08-05

## The perimeter of a triangle is 76cm. Side a of triangle is twice as long as side b. side c is 1cm longer than side a. find the length of each side. sunnypeach12 2022-08-02

## Remark 2: Euclid's proof amounts to solving the above equation. Construct the square ABCD, given segment AB. Let E be the midpoint of AD. Construct the point of intersection, F, of the dircde centered at E of radius EB and the extension of segments DA, as shown. Now construct square AFGX, all of whose sides have length AF, with X on segment AB.Claim: X is the desired point.Notice that $AE=\frac{1}{2}AD=\frac{1}{2}a$(ii)Apply the Pythagorean Theorem to the right triangle ABE to find EB in terms of a.EB=______ equissupnica7 2022-07-28

## If the non-base angle of angle of anisosceles triangle has a measure of 70o, what is themeasure of each base angle?How many diagonals does a decagon have? Kenya Leonard 2022-07-28

## For the line given by, y = 3x , find the slope of a line that is:a) Parallel to the given line: m_{parallel} =b) Perpendicular to the given line: m_{perpendicular} = Deromediqm 2022-07-26

## For the line given by, y = -4 x - 4 , find the slope of a line that is:a) Parallel to the given line: m_{parallel} =b) Perpendicular to the given line: m_{perpendicular} = hornejada1c 2022-07-15

## Let and $f:X\to \mathbb{R}$ defined by $f\left(x,y\right)=x$ . I want to find $C\subset X$ closed such that $f\left(C\right)\subset \mathbb{R}$ isn't closed. How to prove that f is a closed map? therightwomanwf 2022-07-11

## Given two noncoplanar lines p and q, and a point A, does there always exist a line that passes through p, q and A? Sam Hardin 2022-07-10

## $\frac{1}{a+b}+\frac{1}{a+c}=\frac{3}{a+b+c}$ in a triangleFind the angle $\alpha$ of a triangle with sides a, b and c for which the equality pouzdrotf 2022-07-05

## Show that the area of ​triangle ${S}_{ABC}=R×MN$ kolutastmr 2022-07-04

## I was reading a paper on hyperbolic pascal triangle and the author stated that for Schlafli symbol $\left\{p,q\right\}$ , if $\left(p-2\right)\phantom{\rule{thickmathspace}{0ex}}\left(q-2\right)=4$ , it determines the Euclidean mosaic. For $\left(p-2\right)\phantom{\rule{thickmathspace}{0ex}}\left(q-2\right)<4$ a sphere is determined and for $\left(p-2\right)\phantom{\rule{thickmathspace}{0ex}}\left(q-2\right)>4$ a hyperbolic mosaic is defined.On the nature of mosaic specified by Schlafli symbol $\left\{p,q\right\}$ ? Nickolas Taylor 2022-07-04

## Show that $x\left(t\right)=2r{\mathrm{cos}}^{2}\left(t\right)$ , $y\left(t\right)=2r\mathrm{sin}t\mathrm{cos}t$ is a regular parametrization of the real circle of radius r, centre (r, 0). kolutastmr 2022-07-01

## The area of a triangle with sides $59,37,12\sqrt{5}$ Banguizb 2022-06-30

## Let $\mathrm{△}ABC$ and E, D on $\left[AB\right]$ and $\left[AC\right]$ s.t. BEDC is inscribable. Let $P\in \left[BD\right],Q\in \left[CE\right]$ , s.t. AEPC and ADQB are also inscribable. Show that $AP=AQ$ . mravinjakag 2022-06-27

## Prove: If the sum of the angles of a triangle is a constant n, then $n=180$ and thus the geometry is Euclidean Yahir Crane 2022-06-27

## If in a tetrahedron ABCD the heights are congruent and A is projected on the (BCD) plane in the orthocenter, ABCD is a regular tetrahedron Zion Wheeler 2022-06-25

## Quadrilateral ABCD satisfies $\overline{2AB}=\overline{AC}$ , $\overline{BC}=\overline{\sqrt{3}}$ , $\overline{BD}=\overline{DC}$ and $ watch5826c 2022-06-24

## Given a point $\left({x}_{0},{y}_{0}\right)$ and a radius r, how do you find the set of all circles that have that radius that pass through the point? Armeninilu 2022-06-23
## Let H be the orthocenter of acute $\mathrm{△}ABC.$ . Points D and M are defined as the projection of A onto segment BC and the midpoint of segment BC, respectively. Let ${H}^{\prime }$ be the reflection of orthocenter H over the midpoint of DM, and construct a circle $\mathrm{\Gamma }$ centered at ${H}^{\prime }$ passing through B and C. Given that $\mathrm{\Gamma }$ intersects lines AB and AC at points $X\ne B$ and $Y\ne C$ respectively, show that points X, D, Y lie on a line. Devin Anderson 2022-06-22