Ad
related to: rules for triangles in circles answereducation.com has been visited by 100K+ users in the past month
It’s an amazing resource for teachers & homeschoolers - Teaching Mama
- Lesson Plans
Engage your students with our
detailed lesson plans for K-8.
- Educational Songs
Explore catchy, kid-friendly tunes
to get your kids excited to learn.
- Digital Games
Turn study time into an adventure
with fun challenges & characters.
- Interactive Stories
Enchant young learners with
animated, educational stories.
- Lesson Plans
Search results
Results from the WOW.Com Content Network
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, = = =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.
Thales’ theorem: if AC is a diameter and B is a point on the diameter's circle, the angle ∠ ABC is a right angle.. In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle.
The octant of a sphere is a spherical triangle with three right angles. Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles.
An excircle or escribed circle [2] of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle's sides.
Given a unit sphere, a "spherical triangle" on the surface of the sphere is defined by the great circles connecting three points u, v, and w on the sphere (shown at right). If the lengths of these three sides are a (from u to v ), b (from u to w ), and c (from v to w ), and the angle of the corner opposite c is C , then the (first) spherical ...
Given a circle whose center is point O, choose three points V, C, D on the circle. Draw lines VC and VD: angle ∠DVC is an inscribed angle. Now draw line OV and extend it past point O so that it intersects the circle at point E. Angle ∠DVC subtends arc DC on the circle. Suppose this arc includes point E within it.
If the blue circles are equal, the green circles are also equal. In geometry, the equal incircles theorem derives from a Japanese Sangaku, and pertains to the following construction: a series of rays are drawn from a given point to a given line such that the inscribed circles of the triangles formed by adjacent rays and the base line are equal.
The circle through A, C, and I has its center at D. In particular, this implies that the center of this circle lies on the circumcircle. [9] [10] The three triangles AID, CID, and ACD are isosceles, with D as their apex. A fourth point E, the excenter of ABC relative to B, also lies at the same distance from D, diametrically opposite from I. [5 ...
Ad
related to: rules for triangles in circles answereducation.com has been visited by 100K+ users in the past month
It’s an amazing resource for teachers & homeschoolers - Teaching Mama