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In geometry, the sagitta (sometimes abbreviated as sag) of a circular arc is the distance from the center of the arc to the center of its base.〔 It is used extensively in architecture when calculating the arc necessary to span a certain height and distance and also in optics where it is used to find the depth of a spherical mirror or lens. The name comes directly from Latin ''sagitta'', meaning an arrow. ==Formulae== In the following equations, denotes the sagitta (the depth of the arc), equals the radius of the circle, and half the length of the chord spanning the base of the arc. The sagitta may be calculated from these quantities as : . The sagitta may also be calculated from the versine function, for an arc that spans an angle of , and coincides with the versine for unit circles: : . Alternatively, the Pythagorean theorem : may be rearranged to give a formula for the radius as a function of the sagitta and half-chord length: : . Also, this can also be rearranged to find the length of the half-chord. : . 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Sagitta (geometry)」の詳細全文を読む スポンサード リンク
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