An elementary treatise on coordinate geometry of three dimensions . Pig. 55. Since Otx and O/., are parallel to adjacent tangents to thecurve, the limiting position of the plane tjOt2 is parallel tothe osculating plane of the curve at AP Hence the tangentat tx to the indicatrix , being the limiting positionof txU, is at right angles to the binomial at Ar And sinceit is a tangent to the sphere, it is at right angles to theradius O^, and is therefore at right angles to the tan-gent AjTr Therefore the tangent at tx to the indicatrix 286 COORDINATE GEOMETRY [CH. XIV. is parallel
An elementary treatise on coordinate geometry of three dimensions . Pig. 55. Since Otx and O/., are parallel to adjacent tangents to thecurve, the limiting position of the plane tjOt2 is parallel tothe osculating plane of the curve at AP Hence the tangentat tx to the indicatrix , being the limiting positionof txU, is at right angles to the binomial at Ar And sinceit is a tangent to the sphere, it is at right angles to theradius O^, and is therefore at right angles to the tan-gent AjTr Therefore the tangent at tx to the indicatrix 286 COORDINATE GEOMETRY [CH. XIV. is parallel to A1P1, the principal normal at A1. Letus take as the positive direction of the tangent to the in-dicatrix, the positive direction of the principal
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
