Plane and solid geometry . m-scribed regular polygons (of 3, 4, 5, etc., sides) approach as thenumber of sides is successively increased and each side ap-proaches zero as a limit. The term circumference is frequently used for thelength of a circumference. (See Prop. XII.) 551. The length of an arc of a circumference is such a partof the length of the circumference as the central angle whichintercepts the arc is of 360°. (See § 360.) 552. The approximate length of a circumference is found inelementary geometry by computing the perimeters of a seriesof regular inscribed and circumscribed polygon
Plane and solid geometry . m-scribed regular polygons (of 3, 4, 5, etc., sides) approach as thenumber of sides is successively increased and each side ap-proaches zero as a limit. The term circumference is frequently used for thelength of a circumference. (See Prop. XII.) 551. The length of an arc of a circumference is such a partof the length of the circumference as the central angle whichintercepts the arc is of 360°. (See § 360.) 552. The approximate length of a circumference is found inelementary geometry by computing the perimeters of a seriesof regular inscribed and circumscribed polygons which are ob-tained by repeatedly doubling the number of their sides. Theperimeters of these inscribed and circumscribed polygons,since they approach a common limit, may be made to agree toas many decimal places as we please, according to the numberof times we double the number of sides of the polygons. Proposition XII. Theorem 553. The ratio of the circumference of a circle to itsdiameter is tlie same for all
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
