with the Angle bisector theorem, which also involves angle bisection (but of an angle of a triangle not inscribed in a circle). The inscribed angle theorem...

equal. Angles inscribed on the arc (brown) are supplementary. In particular, every inscribed angle that subtends a diameter is a right angle (since the...

if and only if the angles at P 3 {\displaystyle P_{3}} and P 4 {\displaystyle P_{4}} are equal. Usually one measures inscribed angles by a degree or radian...

the line AC is a diameter, the angle ∠ ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved...

each angle of a triangle is proportional to the side subtending it. The inscribed angle theorem states that when the vertex of an angle inscribed in a...

{\frac {m_{1}}{m_{2}}}\ .} Analogous to the inscribed angle theorem for circles one gets the Inscribed angle theorem for hyperbolas—For four points P i...

the inscribed angle theorem, the central angle subtended by the chord A C ¯ {\displaystyle {\overline {AC}}} at the circle's center is twice the angle ∠...

Then angle APB is the arithmetic mean of the angles AOB and COD. This is a direct consequence of the inscribed angle theorem and the exterior angle theorem...

{\displaystyle m_{1}-m_{2}.} Analogous to the inscribed angle theorem for circles, one has the inscribed angle theorem for parabolas: Four points P i = (...

(geometry) Inscribed angle Great-circle navigation Clapham, C.; Nicholson, J. (2009). "Oxford Concise Dictionary of Mathematics, Central Angle" (PDF). Addison-Wesley...

Central angle Clock angle problem Decimal degrees Dihedral angle Exterior angle theorem Golden angle Great circle distance Horn angle Inscribed angle Irrational...

the triangle's right angle, so a right triangle has only two distinct inscribed squares. An obtuse triangle has only one inscribed square, with a side...

angles over AB}})\\\angle DAS&=\angle CBS\,({\text{inscribed angles over CD}})\\\angle ASD&=\angle BSC\,({\text{opposing angles}})\end{aligned}}} This...

120°, using the inscribed angle theorem. Similarly, ∠AFC = 120°. So ∠BFC = 120°. Therefore, ∠BFC + ∠BPC = 180°. Using the inscribed angle theorem, this...

include: Inscribed angle theorem. Thales' theorem, if A, B and C are points on a circle where the line AC is a diameter of the circle, then the angle ∠ABC...

a theorem regarding an equilateral triangle inscribed in a circle. Given An equilateral triangle inscribed on a circle, and a point on the circle. The...

the right angle that connects the two measured endpoints) of exactly five units in length. Thales' theorem states that an angle inscribed in a semicircle...

a series of 20 definitions for basic geometric concepts such as lines, angles and various regular polygons. Euclid then presents 10 assumptions (see table...

"figure F is inscribed in figure G" means precisely the same thing as "figure G is circumscribed about figure F". A circle or ellipse inscribed in a convex...

rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. A rhombus has an inscribed circle, while...

Prometheus Books, 2012. Bailey, Herbert, and DeTemple, Duane, "Squares inscribed in angles and triangles", Mathematics Magazine 71(4), 1998, 278–284. Weisstein...

∠ C B D {\displaystyle \angle CAD=\angle CBD} (the inscribed angle theorem) which is true if and only if the opposite angles inside the quadrilateral...

illustrated later in Leonardo da Vinci's Vitruvian Man, of a man simultaneously inscribed in a circle and a square. Dante uses the circle as a symbol for God, and...

the figure, let there be a circle with inscribed △ A B C {\displaystyle \triangle ABC} and another inscribed △ A D B {\displaystyle \triangle ADB} that...

from I. By the inscribed angle theorem, ∠ I B A = ∠ D C A ,   ∠ I B C = ∠ D A C . {\displaystyle \angle IBA=\angle DCA,\ \angle IBC=\angle DAC.} Since B...

median, so m {\displaystyle m} is half of a . {\displaystyle a.} Let the angles formed between a {\displaystyle a} and d {\displaystyle d} be θ {\displaystyle...

{\displaystyle {\overset {}{\overrightarrow {SA}}}} ⁠? This is an inscribed angle problem plus a question of orientation. The set of points P such that...

isosceles triangle has the largest possible inscribed circle among the triangles with the same base and apex angle, as well as also having the largest area...

Squares can be inscribed in any smooth or convex curve such as a circle or triangle, but it remains unsolved whether a square can be inscribed in every simple...

{\displaystyle \angle ESQ=\angle ES'\!Q'=\alpha .} By the inscribed angle theorem, ∠ E P ′ R ′ = ∠ E S ′ Q ′ . {\displaystyle \angle EP'\!R'=\angle ES'\!Q'.}...