Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 51
tely deter- ymined if the point in which itintersects the axis of X, and theangle which it makes with thataxis, are given. Let us thensuppose given: The abscissa OR = a oi thepoint E in which the line inter-sects the axis of X; The angle e which the line makes with that axis. To find the equation,… … 36 PLANE ANALYTIC GEOMETRY. Hence, putting m ee tan £, we have y — 7n{x — a). (l) Because P may be any point Avhatever on the line, tins equa-tion must subsist between the co-ordinates of every point ofthe line; it is therefore the equation of the line. Def. The slope of a line is the tangent of…
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
