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semicircle

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semicircle
semicircle (ˈsɛmɪsɜːk(ə)l) [ad. L. sēmicirculus: see semi- 7 b and circle n.] 1. The half of a circle divided by a diameter, or the half of its circumference.1526 A C. mery talys 3 b, [Oxford scholar loq.] Cobler I pray the set me .ii. tryangyls & .ii. semy cercles vppon my subpedytals. 1551 Recorde... Oxford English Dictionary
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Semicircle
By Thales' theorem, any triangle inscribed in a semicircle with a vertex at each of the endpoints of the semicircle and the third vertex elsewhere on the All lines intersecting the semicircle perpendicularly are concurrent at the center of the circle containing the given semicircle. wikipedia.org
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semicircle
semicircle/ˈsemɪsɜ:kl; `sɛmɪˌsəkl/ nhalf of a circle or of its circumference; thing arranged like this 半圆形; 半圆形的周长; 半圆形的东西 a semicircle of chairs 排列成半圆形的椅子 sitting in a semicircle round the fire 围著火坐成半圈. => illus at circle 见 circle 插图. 牛津英汉双解词典
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Semicircle (album)
Semicircle is the fifth studio album by English band The Go! Team. It was released on 19 January 2018 by Memphis Industries. and "Plans Are Like a Dream U Organise" Detroit Youth Choir – vocals on "Mayday", "Semicircle Song", "All the Way Live", "She's Got Guns" and "Getting wikipedia.org
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Semicircle law
The semicircle law may refer to: The Wigner semicircle distribution, which describes the eigenvalues of a random matrix, or The Semicircle law (quantum wikipedia.org
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Finding the area of a semicircle knowing a chord and other small semicircle tangent to it. In a semicircle of diameter $CD$ there's a chord $AB$ of length 7, and it's parallel to the diameter. There's also a small sem...
Place the small semicircle center on the center of the big semicircle, for simplicity. This won't change the area you are looking for. Let us call $r$, $R$ and $d$ the radius of the small semicircle, the radius of the big semicircle and half the chord, respectively.
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Unfavorable Semicircle
The BBC has referred to Unfavorable Semicircle as "YouTube's strangest mystery". Unfavorable Semicircle has also been referred to as "one of the Top 10 Weirdest YouTube Channels". wikipedia.org
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Circle inscribed in a semicircle ![enter image description here]( There is black semicircle, which radius is $ R $. The red circle is tangentially inward to the semicircle and to the diameter in its center. The yello...
**HINT** Consider the Figure below and note that 1. $\overline{O_2H} = \frac{R}{2}-r$; 2. $\overline{O_2O_3} = \frac{R}{2} + r$; 3. $\overline{HO_1} = r$; 4. $\overline{O_1O_3} = R-r$; Use Pythagorean theoerm on $\triangle O_2HO_3$ and on $\triangle O_1HO_3$ to determine $\overline{HO_3}$ in two way...
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Wigner semicircle distribution
f is a scaled semicircle (i.e., a semi-ellipse) centered at (0, 0): for −R ≤ x ≤ R, and f(x) = 0 if |x| > R. Weisstein et al., Wigner's semicircle Continuous distributions wikipedia.org
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A Part of a semicircle between the two legs of a right angle triangle In a right angled triangle, a semicircle is drawn such that its diameter lies on the hypotenuse and its center divides the hypotenuse into two segm...
![A Part of SemiCirc]( Let the tangent length shown in sketch be T. The power of circle $$ T^2 = (15-R) (15+R) \tag{1}$$ From similar triangles, (radius/hypotenuse) of right side right angled triangle: $$ \frac{T}{R}= \frac{15}{20}= \frac{3}{4} \tag{2}$$ Solving $$ R= 12, \; T = 9 \tag{3} $$ Arc Len...
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Analytic function on the unit semicircle that sends reals to reals and the arc to the arc must be rational. > Given a function $f$ that is analytic in the unit semicircle such that $f$ is real and continuous on the di...
Reflection in the diameter gives an analytic function $f_1$ on the unit disk with $\lvert f_1(z)\rvert = 1$ for all $z$ with $\lvert z\rvert = 1$. Then reflection in the unit circle - $$f_2(z) = \begin{cases} f_1(z) &, \lvert z\rvert \leqslant 1 \\\ \dfrac{1}{\overline{f_1(1/\overline{z})}} &, \lver...
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English to Chinese Dictionary - Meaning of Semicircle in Chinese is ...
Semicircle: Chinese Meaning: 半圆, 半圆; 半圆形; 半圆弧 a plane figure with the shape of half a circle / The half of a circle / a half of a circle or of its circumference.,
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半圆 : semicircle... : bàn yuán | Definition - Yabla Chinese
半圆 definition at Chinese.Yabla.com, a free online dictionary with English, Mandarin Chinese, Pinyin, Strokes & Audio. Look it up now!
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Beautiful geometry: Laser bouncing of walls of a semicircle Consider a semicircle with diameter $AB$. A beam of light exits from $A$ at a $58^{\circ}$ to the horizontal $AB$, reflects off the arc $AB$ and continues re...
By reflection across the diameter we can map what happens to the beam inside inside the semicircle to a full circle; them beam contacting the diameter and bounces off in the semicircle is equivalent to the beam passing through the diameter of the full circle.
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Isosceles trapezoid with semicircle I have an isosceles trapezoid, with a semicircle in the middle. I need to know the difference in area of the two shapes. Radius of the semicircle is $6$cm, and the longest base is $...
Assuming that the base of the circle lies along the longest base, here is a way to find the length of the shorter base (which along with the length of the longer base, 14, and the height of the trapezoid, 6, readily yields its area): Label the vertices of the trapezoid ABCD, with AD being the longer...
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