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...

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...

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

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...

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...

{\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...

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

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...

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

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

{\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 = (...

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...

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

"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...

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 ∠...

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...

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...

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

mathematics Does every Jordan curve have an inscribed square? More unsolved problems in mathematics The inscribed square problem, also known as the square...

that the angles FAM and CBM are equal, because they are inscribed angles that intercept the same arc of the circle (CD). Furthermore, the angles CBM and...

Elements Angle bisector theorem Exterior angle theorem Euclidean algorithm Euclid's theorem Geometric mean theorem Hinge theorem Inscribed angle theorem...

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

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

(its diagonals are at right angles) and, when convex, a tangential quadrilateral (its sides are tangent to an inscribed circle). The convex kites are...

in the figure) is associated with an angle θ, and is defined as the locus of points X such that the inscribed angle ∠CXD equals θ, { X   |   C X ^ D = θ...

{\displaystyle U} onto the pencil at V {\displaystyle V} . From the inscribed angle theorem one gets: The intersection points of corresponding lines form...

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...

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...