Angle Formulas
For a cyclic quadrilateral with successive sides a, b, c, d, semiperimeter s, and angle A between sides a and d, the trigonometric functions of A are given by
The angle θ between the diagonals satisfies
If the extensions of opposite sides a and c intersect at an angle , then
where s is the semiperimeter.
Read more about this topic: Cyclic Quadrilateral
Famous quotes containing the words angle and/or formulas:
“The good lawyer is not the man who has an eye to every side and angle of contingency, and qualifies all his qualifications, but who throws himself on your part so heartily, that he can get you out of a scrape.”
—Ralph Waldo Emerson (1803–1882)
“That’s the great danger of sectarian opinions, they always accept the formulas of past events as useful for the measurement of future events and they never are, if you have high standards of accuracy.”
—John Dos Passos (1896–1970)