Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 117
(1) shall be tangent to the circle. We will take the equationof the circle in the special form, x-4- y^= r^. (2) If (1) is tangent to (2), the straight line and the circlemeet in two coincident points according to § 18. Substitutingin (2) the value of y from (1), we have x^ + (nrix + b)- =: r^,or… … Fig. 4G. The double sign for the value of b shows that there are twolines with the given slope, Fig. 46, each of which cuts thecircle in two coincident points. .*. y ^ mx + r Vl -f m- (3) and y = mx — r Vl + m^ (4) are both tangents to the circle x^ -|- y- = r^, satisfying theimposed condition. The…
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
