Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 129
where Jc is real.Placing X1 = re*, where CO -v/ft) to — to2 costf. = -P?=, sin<ft=V » - and representing the distance (*/#) by d, we may reduce formula (5), § 47, to the form ^ m (4) cos - = v vv zz Two real points are always at a finite distance from each other,since, as shown in § 47, an… … 116 TWO-DIMENSIONAL GEOMETRY with y(, cos - = w , and the sign of the radical must be taken v yy yy so that cos t = 1 and d — 0. As z. moves away from yt the signs of the quantities on the right-hand side of equation (4) remainpositive and d increases until z{ reaches a point on the line toyx =…
Geometry, Analytic
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