Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 133
h—6which is the condition under which two lines intersect. Now 2=—!ZI1_, and this value of z beins^ substituted in thea—a first equations, we obtain x= — and y=JL 1, a—a a—a for the value of the co-ordinates of the point of intersection. Corollary. If a=a\ the denominators in the second mem-ber… … To express analytically the distance of a given point from theorigin. Let P be the given point in space;it is perpendicular over the pointNf which is in the plane xy. The angle ^ifJV=90°. Also,the angle ANP==^0°. Let AM=x, MN=y, NP—z. ThenZF^=a;2-|-3/2. But AP ^AN +NF =x-\ Now if we designate AP by…
Geometry, Analytic · Calculus
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